Differentiate the meanings of the terms homozygous and heterozygous.

The prefix homo means same, so
homozygous means that the organism has two alleles that are the same for a particular
trait.  The alleles could be both dominant (BB) or they could be both recessive
(bb). 

The prefix hetero means
different, so heterozygous means that the organism has two alleles that are different
for a particular trait.  This means that the organism will have one dominant and one
recessive allele (Bb) for the particular trait.

Why does Ponyboy love Darry in The Outsiders?

The complex relationship between Ponyboy and Darry is
initially explored in the first chapter of this classic work of fiction, when Ponyboy
tells us how he feels that he loves Sodapops more than anyone else, including his
brother Darry. Note what he tells us about his relation with his elder
brother:

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[Soda's] always happy-go-lucky and grinning,
while Darry's hard and firm and rarely grins at all. But then, Darry's gone through a
lot in his twenty years, grown up too
fast.

We are in addition told
that Darry works "too long and hard" as he has been left, as the eldest brother, to look
after Sodapops and especially Ponyboy. However, it is clear that in spite of the way
that Ponyboy appreciates and understands something of the sacrifices that Darry has had
to make to look after them, he also is annoyed by the way that Darry is always
"hollering" at him and treats him as if he were "six instead of fourteen." It is only in
the final chapter, after Sodapops forces the brothers to become reconciled to each
other, that Ponyboy realises that he does love Darry and that Darry loves
him:

I
suddenly realised that Darry was only twenty, that he wasn't so much older that he
couldn't feel scared or hurt and as lost as the rest of us. I saw that I had expected
Darry to do all the understanding without even trying to understand him. And he
had given up a lot for Soda and
me.

Thus we can see that
Ponyboy loves Darry for the way that he has sacrificed so much to keep the family
together, in spite of the way that he so often tells off Ponyboy and shouts at
him.

How would you define "The Way" in Gathering Blue?

I would define "The Way" as tradition.  In many societies,
people's lives are governed as much by traditions and by engrained ways of doing things
as they are by actual written laws.  This is the case in Kira's society.  They are
governed by "The Way," which a harsh set of unwritten laws that reflect the way things
have "always been."

You can perhaps relate this to modern
US society by thinking about attitudes towards social welfare issues here in the US. 
Through this book, Lowry is commenting on our own attitudes in this regard.  She is
pointing out how our societal prejudices and traditions work to hurt the poor and the
disabled.  She is pointing out that we have this traditional way of looking at the
poor.  We tend to think that their problems are their own fault and so we punish them
for being poor.  This is not really caused by laws.  Instead, it is caused by our
traditional attitudes.

"The Way," then, is simply the set
of traditional attitudes that governs the way Kira's society runs.  Lowry is trying to
show us that our society is heavily influenced by our traditional attitudes and
prejudices as well.

How is Miller's Death of a Salesman a Modernist play ?

Another aspect of the modernism of the play is the
rejection of strict chronology of time. The play is punctuated by arrival's on to the
stage by people from Willy's past, via his memories. There is a conjunction of present
and past brought about by Willy's mental rambling.

This
complication of past and present is also represented in the dialogue between Willy and
his sons. Often Willy's thought processes divert into the past and the conversation with
his sons becomes split. The sons think that Willy is talking about a certain topic,
whilst Willy is actually, through delusion, talking about something from his past.
Whilst the characters seem unable to understand this disjunct, the audience is aware.
The audience is given an insight into the fractured and intractable nature of Willy's
mental state and, therefore, his relationships.

Miller
brings Willy's fractured and wandering thoughts to bear on the stage through modernist
techniques of tangible memory relapses manifested by physical people and dysfunctional
conversation.

When does a company get the maximum profit if: Marginal Cost = dC/dq = 6q + 20 and P = 100-q, where q = output. Fixed costs are 600.

From the information provided I assume you want the number
of units produced to maximise profit.

The marginal cost is
given as dC/dq = 6q + 20

Total cost is the integral of the
marginal cost or C = Int[6q + 20] = 6q^2/2 + 20q + F = 3q^2 + 20q +
F

As the fixed costs are 600, F = 600 in the function
obtained earlier.

The total cost for q units is 3q^2 + 20q
+ 600.

I assume the revenue per unit is 100 - q. The
revenue when q units are produced 100q - q^2.

Total profit
for q units is TP = Revenue - Total cost

=> 100q -
q^2 - (3q^2 + 20q + 600)

=> 100q - q^2 - 3q^2 - 20q
- 600

=> -4q^2 + 80q -
600

For profit maximization we need to differentiate -4q^2
+ 80q - 600 with respect to q and solve for q.

d (TP) / dq
= -8q + 80

-8q + 80 =
0

=> q =
10

The company makes the maximum profit when
it manufactures 10 units.

What are x and y if (3x+2iy)-(y-2ix)-2x=3-2i ?

We have (3x+2iy)-(y-2ix)-2x=3-2i and we need to find x and
y.

(3x + 2iy) -(y - 2ix) - 2x = 3 -
2i

=> 3x + 2iy - y + 2ix - 2x = 3 -
2i

=> x - y + 2i(x + y) = 3 -
2i

equate the real and imaginary
coefficients

x - y = 3 and x + y =
-1

adding the two

2x =
2

=> x = 1

y =
-2

The solution is x = 1 and y =
-2

In To Kill a Mockingbird, during the court testimony about Mayella's injuries, what key facts seem inportant to Atticus.

In Harper Lee's To Kill a
Mockingbird, Atticus is very careful regarding the testimony about Mayella
Ewell's "injuries." He is very concise when questioning Heck Tate, the sheriff, and even
thorough in his cross-examination of Mayella Ewell and Bob
Ewell.

The significance of this is to establish the
veracity or truthfulness of what the Ewells are accusing Tom Robinson of. This speaks to
two different concerns on Atticus' part. First, Atticus already knows that Tom has one
arm that is useless to him caused by an accident with a cotton gin when he was younger.
In connection with Tom's inability to harm Mayella based on the side of the face that
was damaged, is the question of Bob Ewell—not only is he his daughter's real attacker,
but whether he has an abusive nature in general as a
father?

First Jem notices the strategy Atticus is using by
asking questions about Mayella's life.

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Atticus was quietly building up before the jury a
picture of the Ewells' home
life.

Later, Atticus asks
Mayella what kind of father Bob Ewell is.

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"I mean, is he good to you, is he easy to get
along with?

"He does tollable, 'cept
when—"...

"Except when he's drinking?" asked Atticus so
gently that Mayella
nodded.

When Atticus
questions Tom Robinson, we learn that Mayella made advances toward
him, not the other way around. She kissed him because she wanted to
know what it was like: besides the "kissing" from her
father.

"She
 said she never kissed a grown man before an' she might as well kills a n***er. She says
what her papa do to her don't
count."

(Here is an
inference, based on Tom's testimony, that Mayella may also have been sexually abused by
her father.)  Tom then explains that when Mayella's father saw what she was doing
through the window, he went berserk.

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"I didn't wanna harm her, Mr. Finch, an' I say
lemme pass, but just when I say it Mr. Ewell yonder hollered through th'
window."

"What did he
say?"

Tom Robinson swallowed again, and his eyes widened.
"Somethin' not fittin' to say—not fittin' for these folks'n chillun to
hear—"

"What did he say, Tom? You must
tell the jury what he said.

Tom Robinson shut his eyes
tight. "He says you goddamn whore, I'll kill
ya."

Jem reports that Tom
Robinson's manners were nearly as good as Atticus'. As Atticus reports later, Tom tries
to get away without pushing Mayella, for…

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...if he dared to strike a white woman under any
circumstances [he could not have expected] to live
long.

However, by running
away, it also made Tom look guilty—Tom faces a serious predicament. There is really no
way he can come out of this situation unscathed.

All of
this information points to Atticus' intention of establishing that Tom had no use of his
left hand, that Bob Ewell was left-handed (and probably hit
Mayella), that Ewell was violent when he had been drinking, and that he threatened to
kill Mayella for kissing a black man. Atticus is trying to develop a case that clearly
demonstrates Tom's inability to carry out the deeds he is accused of, and therefore,
his innocence, and Bob Ewell's guilt in the
beating of Mayella, and lying in court.

In Shakespeare's Hamlet, regarding "By indirections find directions out" (II.i.65) discuss this quote in relation to Hamlet's "antic disposition."

In Shakespeare's play, Hamlet, in Act
Two, scene one, Polonius is sending materials with Reynaldo to give to Laertes who is
away from school. In addition, Polonius wants Reynaldo to spy on Laertes because he does
not trust him and is something of a control freak.

First
Polonius wants Reynaldo to make private inquiries into Laertes' behavior. Polonius tells
Reynaldo to ask all kinds of questions so that no one will know that
Polonius is asking. Reynaldo may admit that he knows the family.
Polonius offers Reynaldo a wide variety of ways to seek information about Laertes, and
Reynaldo protests as he doesn't wish to dishonor Laertes. Polonius says this will not
happen. To find out about Laertes, Reynaldo must lie. And in these lies, Reynaldo will
get the information he needs, no matter how he has to do
it.

Polonius likewise tells Reynaldo that in whispering
untruths, sometimes the real truth comes out. Polonious believes that by using
"indirections," or non-truths, he can trick Laertes or his friends into sharing truths
about Laertes' behavior, to know really how he is acting away from home. Polonius
insists that this is the only way to learn what Laertes is really doing. He suggests
that by providing "indirection" Reynaldo can find out the
truth.

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With windlasses and with assays of bias,

By indirections find directions out.
So, by my former lecture and
advice,
Shall you my
son.

On the other hand, where
Polonius is sneaky in trying to find out the truth about Laertes, Hamlet pretends to be
insane to get the information out of Polonius and others. Hamlet acts silly and crazy,
in order to put those around him at ease. They cannot make sense of what Hamlet is
thinking, but imagine all kinds of things regarding Hamlet crazy behavior; meanwhile he
is able to throw the others off balance while he watches and
listens. Reynaldo may not get much information from the people where Laertes is because
he is an outsider. Whereas Hamlet is listening and learning what different plans the
King and Polonius may have for him, and they may not be so careful because though they
believe his is insane—however, he is not really mad, but
vigilante.

Ironically, both Polonius and Hamlet are doing
things to gain information about someone else. Polonius reveals the kind of person he is
by spying on his son and encouraging Reynaldo to lie about him to get the information he
wants. Polonius is also sneaky in trying to gain information about Hamlet, but Hamlet is
well-aware of what the King and Polonius are up to, so he, too, is sneaky to find out
information, but also to keep the others from learning too much about
him.

Please explain your understanding of the quote and then explain to which theme the quote relates in The Old Man and the Sea."he was too simple to...

This passage is from the exposition of Ernest Hemingway's
The Old Man and the Sea.  As the novella opens, Santiago has had no
luck fishing in eighty-four days. His friend, the boy, has been told by his father to
fish with others who are more fortunate.  And, the other fishermen ridicule him, but he
is not angry.  Still others, the older fishermen glance and him and become melancholic,
but they dissemble and speak politely about the currents and depths to which they have
drifted their lines. 

When the boy offers to bring Santiago
two sardines for bait, the "old man" agrees without
protest. 

He
was too simple to wonder when he had attained humility.  But he knew he had attained it
and he knew it was not disgraceful and it carried no loss of true
pride.

He tells the boy that
tomorrow will be a good day.  Santiago says this more, however, for the boy's sake than
for his own.  For, now that he is older, Santiago does not always care so much about
himself.  He does not argue over things anymore, either.  Indeed, these lines pertain to
the theme of Youth and Old Age."  For, when he was young, Santiago would not have been
so quiet about having no fish for so long.  The boys' deference to him also touches upon
the social concern of the notion of respect and concern for the aged, and the loneliness
of old age.

Explain the use of verbal irony in Jagger's opinion of The Spider(Bentley Drummle) as a husband for Estella in Great ExpectationsGreat...

When Pip is first invited to dinner, Mr. Jaggers asks Pip
who one young man is that is called "the Spider" and Pip tells him he is Bentley
Drummle.  Jaggers observes, "I like the look of that
fellow."

At dinner Pip meets Molly, the housekeeper, whose
strong wrists Mr. Jaggers is proud to display.  Then, toasting the young men, Mr.
Jaggers, who draws out the worst in people, says, "Mr. Drummle, I drink to you."  Pip
remarks that Mr. Jaggers follows Drummle with interest, noting the "boorish sneer of the
young man."

Later, in Chapter 48 of Great
Expectations, Pip again speaks with Mr. Jaggers who announces to him
that  Our friend the Spider,...has played his cards. He has
won the pool.”  This means that Drummle is going to wed Estella. Of course, using verbal
irony, Jaggers does not consider Drummle as any friend of his, nor of Pip, who is
clearly a rival.  Jaggers goes on to say that it will be a struggle of the strongest
between Drummle and Estella, suggesting that the Spider, who, he implies, has caught
Estella in his web, may dominate if he beats Estella.  This certainly is a case of
dramatic irony since Drummle does later do just that.

What are five metaphors and similes in The Outsiders?

In The Outsiders, S E Hinton uses
figurative language and symbolism to reflect the environment in which the "Socs" and the
"greasers" live. The characters are mostly hard and street-wise but Ponyboy, who is
"supposed to be the deep one," is a little different. He is
diligent and, as Dally says of him, "Always having his nose in a
book." These are metaphors relating to Ponyboy's intelligence and love of
reading, something unusual for gang members. Ponyboy's ability to rise above his
circumstances and not let them define him is an enduring theme
throughout. 

Dally is a typical gang member, arrested by
the police by the age of ten. He is tougher than the other boys. His tough and seemingly
callous facade will lead to his tragic death. Ponyboy is very wary of Dally whose eyes
are, "Blue, blazing ice, cold with a hatred of the whole
world." This is a metaphor and the reader has no doubt about Dally's
character. However, Dally will reveal that his seemingly hard exterior has another side
to it when he becomes a most unlikely hero, although he is unable to save
Johnny. 

Johnny is described as, "Everyone's
kid brother," suggesting that each member looks out for him and feels
partly responsible for him, especially as he is shy and anxious and even
"scared of his own shadow." He
attributes a deeper meaning to Robert Frost's words in the poem Nothing God
Can Stay when he tells Ponyboy to
"stay gold." Johnny
desperately hopes that his friend can stay true to who he is and retain his good nature,
believing in the basic goodness of people and not judging them on
appearances. 

There are many comparisons in the book by way
of metaphor and simile and they all add depth to the characters, ensuring that the
reader sees far more than gangsters and fights and does not judge them but recognizes
their own struggles. Ponyboy can only hope to express himself and help others in a
non-violent way, "before it was too late."

In the movie Patch Adams, describe how Patch shows three different types of love for people: companionship, romantic love, & friendship.

After having met the "real" Patch Adams a few years ago
and hear about his amazing organization that attempts to bring joy and laughter to
places fraught with tragedy, I feel honored to answer this question.  Patch Adams does,
in fact, exhibit all three types of love you mention in your question.  Let's deal with
them separately.

First, companionship.  Donning nothing but
a clown's nose, Patch is able to brighten the days and lives of sick children by
visiting the children's ward of the hospital quite often.  His silly, slapstick humor
takes their mind off of their troubles as they await and recover from serious surgeries
and (sometimes terminal) diseases.  There are smiles all around when Patch enters the
room, where only gloom and loneliness is apparent
beforehand.

Second, romantic love.  Although not part of
the "real life" story of Patch Adams, the movie character of Patch has a very strong
love for Carin Fisher (a definite cold fish at first).  Patch woos Carin in the same way
he gives the children in the ward companionship:  through humor.  Carin Fisher opens up
through her ability to laugh at Patch, and she is finally feeling her own romance toward
Patch blossom when her life is ended far too soon (by a highly disturbed patient she is
attempting to help).

Finally, friendship.  Some of the most
moving scenes in the film in my opinion are between Patch Adams and the character of
Bill Davis, a terminally ill cancer patient.  For what seems to be a VERY long time,
Bill is irate and even violent towards Patch's attempts at humor and cheer.  However,
little by little, Bill begins to adore Patch, confiding in him as a friend.  Bill shares
revelations about his family, his illness, and even his spirituality to Patch, ... and
there is no more tearful scene than when Patch Adams sings his own version of "Blue Sky"
as Bill passes on.

I'll admit, absolutely every time I hear
the line, "Blue skies smiling at me, nothing but blue skies do I see," I always think of
Patch Adams singing to Bill as one of the different types of love you mention in your
question.  Therefore, in conclusion, I need to mention a different "type" of love that
is very important to both the real Patch Adams and the character in the movie:  love of
the poor.  Both through his institute to help those without insurance and through his
mission to bring humor to places of tragedy, Patch Adams makes his great love for
humanity apparent.

the coifficent of {r-1}th ,r th ,{r-1}th term in expansion of {x+1}n are in the ratio 1:3:5,find n&r.

The problem provides the equations that relates the
binomial coefficients of the and terms, such
that:

3(C_n^r)

Using the factorial formulas
yields:

Since and
yields:

3/5

1)!)

You need to solve for n and r the system of simultaneous
equations, such that:

3(n-r-1)):}

=> {(-8r + 2n = 6),(8r - 3n = -13):} => -n = -7 => n = 7 r =
(n-3)/4 => r = (7-3)/4 => r =
1

Hence, evaluating r and n, under the given
conditions, yields and .

In Harper Lee's To Kill a Mockingbird, what are the Cunninghams like?

In Harper Lee's To Kill a
Mockingbird, at the beginning of the book, we find that the Cunninghams are
poor people, but Mr. Cunningham has a strong sense of pride. He will not take charity.
When he needs legal work from Atticus, he pays with goods, like a basket of nuts or some
vegetables. Atticus accepts these payments
graciously.

Walter Cunningham, the boy in Scout's
classroom, comes to school with clean patched clothes, a clean face, and bare feet,
having no shoes. He has been taught not to accept charity either. When their teacher,
Miss Caroline, tries to lend him money to go to town to get lunch, Walter refuses, very
politely. Someone in the class suggests that Scout explain the situation to Miss
Caroline, who doesn't comprehend Scout's explanation and gets so angry with Scout that
paddles her hands as a punishment. Scout has a clear understanding of the Cunninghams'
situation from discussions with Atticus. The story takes place during the Great
Depression where many people had next to nothing. Miss Caroline cannot understand what
Scout is telling her and takes offense.

The Cunninghams get
by, but it is not easy in this time of a devastated economy, especially in the South not
that long after the Civil War, a war from which the South is still
rebuilding.

Verify the equality (1+i*square root 3)^2 + (1-i*square root3)^2=-4

First, we'll have to expand the binomials and we'll use
the identities:

(a+b)^2 = a^2 + 2ab +
b^2

(a-b)^2 = a^2 - 2ab +
b^2

According to these, we'll
get:

(1+i*sqrt3)^2 = 1 + 2i*sqrt3 - 3 (we've replaced i^2
by -1)

(1+i*sqrt3)^2 = -2 + 2i*sqrt3
(1)

(1-i*sqrt3)^2 = 1 - 2i*sqrt3 -
3

(1-i*sqrt3)^2 = -2 - 2i*sqrt3
(2)

We'll add (1) and (2) and we'll
get:

(1+i*sqrt3)^2+(1-i*sqrt3)^2 = -2 + 2i*sqrt3 -2 -
2i*sqrt3

We'll eliminate like
terms:

(1+i*sqrt3)^2+(1-i*sqrt3)^2 =
-4

We notice that the equality
(1+i*sqrt3)^2+(1-i*sqrt3)^2 = -4 is verified.

How to determine the side a of triangle ABC if i know the angle A= 60 degrees and the sides b=square root 3 c=2?

We'll have to use the law of cosines to determine the
length of the side "a".

a^2 = b^2 + c^2 - 2b*c*cos (b,c)
(1)

We know that the side "a" is facing to the angle A,
then the side "b" is facing to B and the side "c" is facing to the angle
C.

The angle enclosed by the sides "b" and "c" is
A.

We know, from enunciation, that A=60
degrees.

Then cos 60 =
1/2

We'll substitute the values of b and c and the cosine
of A, into the relation (1).

a^2 = 3 + 4 -
2*sqrt3*2/2

a^2 = 7 - 2sqrt3

a
= sqrt(7 - 2sqrt3)

The length of the side "a"
is: a = a = sqrt(7 - 2sqrt3).

What is the difference between Banquo and Macbeth?

In Shakespeare's Macbeth, there is
one large difference between Macbeth and Banquo. While both men see the promise and
fortune that the crown will bring to them and their families, Banquo does not take
matters into his own hands to insure the prophecy comes
true.

Macbeth decides that, given the prophecy, he must do
whatever it takes to possess the crown.  Macbeth, therefore, decides to take fate into
his own hands and do what he must to obtain the
crown.

Banquo, instead, trusts in the prophecy enough to
stand aside and let fate take its course.  Banquo chooses not to force the crown for his
children.

This is, perhaps, the most striking difference
between Banquo and Macbeth.

Can you name any cars, sports equipment, tools, or household items that are "made in Austria, Germany, or Switzerland"?

I assume that you are talking about products made by
companies that are based in these countries, regardless of whether the product itself is
actually made in that country today.  If so, there are many products of the sort you
mention made in these countries:

• Mercedes-Benz
  automobiles.  This is a German company.


• Adidas.  This is
  also a German company that makes sporting goods.


• BMW
  automobiles.  This is also a German company.  The acronym stands for Bayerische Motoren
  Werke, which means "Bavarian Motor Works."  Bavaria is a part of southern
  Germany.


• An example of a Swiss company is the Rolex
  company.  This company makes high-end, luxury
  wristwatches.

Discuss Francis Bacon's dual role as an explorer of knowledge and as a counselor with detailed reference to the essays "Of Studies" and "Of Travaile."

In his essays “Of Study” and “Of Travaile” (that is, of
travel), Sir Francis Bacon plays the dual roles of explorer of knowledge and counselor,
respectively. One essay deals with the knowledge that can be gained from books; the
other essay deals with the knowledge that can be gained by travel – especially from
foreign travel.

The essay “Of Study” opens with a sentence
that splendidly exemplifies Bacon’s taut, crisp, so-called "curt"
style:

Studies
serve for delight, for ornament, and for
ability.

Bacon’s habit of
thinking in threes is well illustrated here, as is his habit of wasting no words and
getting directly to the point. He then begins to develop each of these ideas, showing a
familiarity with how the world really works. Bacon is not a pie-in-the-sky idealist; his
arguments are almost always rooted in observation of the everyday reality, although he
usually calls little personal attention to himself as an observer.
His essay on study is rooted in an ideal of balance: balance between books and the “real
world,” balance between theoretical knowledge and practical knowledge, and balance
between book learning and common sense. He also shows, in another clause based in
threes, that he is familiar with the varieties of human
types:

Crafty
men contemn studies, simple men admire them, and wise men use them . . .
.

Likewise, he also shows (in
a very famous aphorism) that not all books are of equal value and that since time is not
unlimited, readers must be practical in their choices of reading
matter:

Some
books are to be tasted, others to be swallowed, and some few to be chewed and digested .
. . .

Later, he reveals the
comprehensiveness of his knowledge and of his advice:

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Reading maketh a full man; conference a ready
man; and writing an exact
man.

All in all, Bacon
provides sane, sensible, and highly practical advice about the
nature, uses, and rewards of study.

The same is true of his
essay on foreign travel.  The two essays, in fact, are highly complementary, although
the essay on travel is, if anything, even more practical than the other piece.  In the
essay on travel, Bacon, without ever dwelling on himself, seems to draw on personal
experiences in order to offer sage advice to young
people.

Here as in the other essay, Bacon covers many
bases, offering highly comprehensive advice, as when he provides a long list of valuable
sights (and sites) to see. Travel, for Bacon, is not merely a matter of pleasure or
diversion; it is serious business, from which the young can and should learn and
profit.  In both essays, then, Bacon emphasizes the importance of education, and in both
essays he makes clear that education should produce practical
wisdom.

Finally, in both essays, Bacon shows an impressive
familiarity with a wide range of possible sources of knowledge and different kinds of
learning.  In the essay on travel, this familiarity is displayed by the very long
sentence that begins “The things to be seen and observed are . . . ." In the essay on
study, a similar comprehensiveness is shown in the following sentence in the so-called
“curt” style that Bacon loved:

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Histories make men wise; poets witty; the
mathematics subtile; natural philosophy deep; moral grave; logic and rhetoric able to
contend.

It is not surprising
that Bacon, with his characteristic emphasis on balance, should write two essays with
complement each other so well.

Determine all solutions of the trigonometric equation 1-cos2x=4sinx.

We'll apply the following
formula:

1 - cos 2x = 2*[sin
(2x/2)]^2

1 - cos 2x = 2*(sin x)^2
(1)

We'll re-write the equation, replacing the left side by
(1):

2*(sin x)^2 = 4*sin
x

We'll divide by 2:

(sin x)^2
= 2*sin x

We'll move all terms to on
side:

(sin x)^2 - 2*sin x =
0

We'll factorize by sin
x:

(sin x)*(sin x - 2) =
0

We'll cancel each
factor:

sin x = 0

x =
(-1)^k*arcsin 0 + k*pi

x =
k*pi

sin x = 2 impossible since the value of sine function
cannot be larger than 1.

The only possible
set of solutions of the trigonometric
equation,, for any integer
k, is: {k*pi,
}.

Determine x,y,z if x/2=y/3=z/5 and x+y+z=20

Given that:

x/2 = y/3 =
z/5..........(1)

x+ y + z =
20.........(2)

From (1) we will rewrite the numbers as
functions of x.

==> x/2 =
y/3

==> y= (3/2)x
............(3)

==> x/2 =
z/5

==> z = (5/2)x
.............(4)

Now we will substitute (3) and (4) into
(2).

==> x + y + z =
20

==> x + (3/2)x + (5/2)x =
20

==> (2+ 3+5)/2 x =
20

==> 10/2 x =
20

==> 5x =
20

==> x = 20/5 =
4

==> y= (3/2)x = 3/2 * 4 =
6

==> z= (5/2)x = 5/2 * 4 =
10

Then the numbers are: ( x, y, z) = ( 4, 6,
10)

Act 1 scene 3 ends with Iago's soliloquy. Why does he think that this plan may be succesfsful in Othello?

Iago's plan in Act 1, Scene 3 of Othello is brilliant.  He
understands people very well, and he knows what do to do to instigate conflict.  He is
quite suspicious of Othello, who he believes is sleeping with Emilia.  He is angry with
Cassio for taking the position of lieutenant that Iago felt belonged to him.  So, Iago
needs to take revenge on both Othello and Cassio.

Perfect
revenge has several characteristics:  the victim must suffer more than the avenger did,
the avenger must exact his revenge with impunity,  the victim must know that the avenger
is causing his suffering, and lastly, the avenger must be present to see his victim
suffer. Iago's plan for revenge would satisfy these characteristics nicely with one
exception:  Iago does not plan to make his victims know that he is the avenger.  Iago
prefers to catch his victims as a spider traps his prey; they will fall into an
invisible web and the more they struggle to extricate themselves, the more ensnared they
will become.

Iago's plan is to make it seem as if Desdemona
and Cassio are having an affair.  Cassio is a "proper," or handsome, man, according to
Iago.  He is "framed to make women false."  A man such as Cassio could easily arouse
jealousy in other men.  Cassio is in fact young, eloquent in speech, and white--all
qualities Othello lacks.  Further, Iago knows that Othello trusts him, that Othello is
of a "free and open nature" and deems others honest, because he himself is.  Iago is
confident that Othello will believe him when he suggests that Desdemona is sleeping with
Cassio.  After all, Othello has known Iago much longer than he has known Desdemona.  Why
wouldn't Othello believe him?

In this way, Iago can ruin
Cassio, for surely Othello will fire him if he thinks he is sleeping with Desdemona, and
he can destroy Othello's marriage as he thinks Othello has destroyed his.  The plan is
brilliant in its simplicity.

Why did Defoe write his essay "On the Education of Women"?

Daniel Defoe wrote this essay to promote the idea that
women should be educated.  That much is fairly obvious.  What is interesting, though, is
why he thought women should be educated.  Defoe believed
that women should be educated so that they could be better wives and companions for
men.

In modern times, we believe (in the West, at least)
that women should be able to go out and get jobs and contribute to the economy.  They
should essentially be the same as men in economic terms.  But Defoe did not make this
argument.  Instead, he argues that women would simply be more fun to be around if they
were educated.

As an example of this, look at what he
thinks they should study.  He is not advocating that they study math and science. 
Instead, he says that they should be taught

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... in particular, Music and Dancing; which it
would be cruelty to bar the sex of, because they are their darlings. But besides this,
they should be taught languages, as particularly French and
Italian...

He does go on to
say that they should read history books, but there is no talk of more practical
subjects.  Instead, the idea is that they should be more "cultured" so as to be more
interesting.

Later in the essay, we see Defoe explicitly
reject the idea of women participating in the same sorts of things that men do.  He says
(I have added the bold letters)

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Not that I am for exalting the female government
in the least: but, in short, I would have men take women for companions,
and educate them to be fit for it. A woman of sense and breeding will
scorn as much to encroach upon the prerogative of
man...

From this, it is clear
that Defoe's reasons for wanting women educated are not modern ones.  Instead, he simply
wants women to be more pleasant companions.  He believes that this will happen if they
are more educated.

What is a partnership?

A partnership is one way of organizing a business.  The
other two are sole proprietorships and corporations.

A
partnership is a business that is owned jointly by two or more people.  These people
directly own and operate the business.  As the link below tells
us,

A
partnership is an association of two or more persons who carry on a business, as
co-owners, for profit. (Encyclopedia of
Business)

There are two kinds
of partnership.  There are limited partnerships and general partnerships.  A limited
partnership is typically much more formally created than a general partnership.  In a
limited partnership, at least one of the partners must be designated as the "general
partner."  This person must assume unlimited personal liability for the business's
liabilities.

There are many more things to say about
partnerships.  You can find much more detail by following the link
below.

What was Black Power?A) a movement calling for African Americans to rely on themselves to achieve change // B) a movement calling for the...

Of the options that you have given us, the best is A. 
Answers B and D are simply wrong.  Answer C is not really correct either even though the
Nation of Islam would have generally supported the idea of Black Power.  Although they
would have supported it, it was not they who came up with the
idea.

Black Power was an idea that was popularized by
Stokely Carmichael.  The idea of Black Power was that efforts (such as those of Martin
Luther King, Jr) to work with whites were misguided.  Carmichael believed that blacks
should work on their own, without help, to demand their rights.  He thought that
anything else would lead to black people continuing to rely on whites to give them
rights, instead of simply taking those rights for themselves.  He also believed that
King's tactics would result in less pride among Black
People.

For these reasons, A is the best
answer.

Explain the main contrast in the poem "A Contemplation Upon Flowers."

In the poem "A Contemplation Upon Flowers," the main
contrast is the way flowers view death versus the way the poet views
death.

The flowers have no fear of death. In fact, they are
ever present in death. They decorate the bier at death looking "fresh and
spruce."

The poet asks the flowers to teach him to view
death differently. The poet fears death but in contrast the flowers have no fear of
death.

The flowers are fragrant even in death. The poet
desires to have sweet breath in death much like the flowers. The poet desires to breathe
sweet fragrances as he dies.

The flowers seem to understand
their purpose more so than the poet. The flowers bloom with no vanity. Then they die and
go back to the earth from which they are born. There is no fighting death. The flowers
obey and wither in dignity.

The poet sees the contrast in
the way he accepts death versus the way the flowers so "gallantly" die and go back to
the earth.

What are some of the grudges and the personal rivalries in The Crucible?

There are numerous personal grudges in the play, and
actually is one of the causes of the witch trials.

The most
central person rivalry is between Abigail and Elizabeth Proctor. Abigail had an affair
with Elizabeth's husband John. John ended the affair, but Abigail is not willing to take
no for an answer. Her jealousy for Elizabeth's role in John's life leads her to accuse
Elizabeth of witchcraft.

Other grudges occur between very
prominent members of society. Francis and Rebecca Nurse are of a family with lots of
children and grandchildren. They own over 300 acres of land, but Thomas Putnam, another
prominent member of Salem, disuptes with him over land boundaries. Francis also went
against Thomas Putnam's brother in law for the position of minister to
Salem.

It is quite a conicidence that Ruth Putnam is an
accuser of Rebecca Nurse later in the story. There also seems to be an insinuation that
the Putnams are jealous of Rebecca Nurse's numerous children. Mrs. Ann Putnam herself
miscarried and lost many of the children she bore.

The
Coreys, Giles and Martha, are an older couple. Martha Corey is accused of witchcraft
because she sold a pig to a neighbor and the pig died two days later. Since then, the
neighbor cannot keep a pig alive on his farm.

Compare ethics and values. Determine how they are different from each other.

The simple answer to your question is that values are
standards, rules, and beliefs by which we live our individual lives.  Ethics on the
other hand are standards created by organizations, businesses, and groups that need for
their employees or organizational member to behave in a specific
manner.

To expand on the concept of values, a person
makes hundreds of decisions daily.  Those decisions are made based on the value system
that person lives by and shares with others of like values.   On the other hand ethics
are more broadly experienced on a society-wide level.  We have ethics standards for
doctors, lawyers, teachers and other professional organizations.  Many businesses have
ethical standards that must be met.  If an employee's value system does not line up with
the ethical standards of their professional organization, then they may not keep their
license or that profession or their job.

There are several
links listed below that may give you more information on this subject.  I hope this was
helpful.

What, according to O'Sullivan, is the immutable truth and benefience of God?

I assume you are referring to O'Sullivan's article "The
Great Nation of Futurity."  If so, O'Sullivan argues that the "immutable truth and
beneficence of God" is that all people should be free and should live under a good
government and in a good society like that of the United States.  This is why, he says,
the US is destined to expand its territory and create a country that will be a beacon to
the world.

As O'Sullivan says, America is based on the
ideas of

readability="9">

...freedom of conscience, freedom of person,
freedom of trade and business pursuits, universality of freedom and
equality.

He argues that the
work of the United States is to spread these ideas as far as possible.  By spreading
these ideas and making more people live according to them, the US will be fulfilling its
mission.  When it brings those things to the people of the world, it will be bringing
them the "immutable truth and beneficence of God."

The sum of 3 consecutive odd integers is 87. What are the consecutive integers?

We are asked to find 3 consecutive odd integers that have
a sum of 87.

=>  let x = the first odd
integer

=>  let x + 2 = the second odd
integer

=>  let x + 4 = the third odd
integer

Write the equation to
solve.

=> x + x + 2 + x + 4 =
87

=> 3x + 6 =
87

=> 3x = 81

=>
x = 27  (first odd integer)

=> x + 2 = 29  (second
odd integer)

=> x + 4 = 31 (third odd
integer)

The consecutive odd integers with a
sum of 87 are the following:  27, 29, 31.

Why a mineral leaves a streak that is different in colour than it's appearance?

The property of streak is seen when a mineral is rubbed
against a porcelain streak plate that is unglazed. A powder will be left behind and that
produces the mineral's signature streak. Because a streak plate has a hardness of 6.5,
the streak test will work on minerals less than 6.5 on Moh's scale. However, color is
seen by the naked eye, when light either reflects off a mineral or is transmitted by a
mineral, if that mineral is translucent. This can be different from the streak. Color is
not a reliable means to identify a mineral. Fool's gold, or pyrite is a brassy yellow
mineral, but when the streak test is performed, it leaves behind a black streak. Actual
gold also looks yellow in color, and its streak is also yellow.  It is a mineral's
coating and structure that produces the outward color, however, the streak is really its
true color. Some minerals may even have trace elements in them, that could affect the
color. Therefore, the streak test is more reliable for identification of a mineral than
its color.

What are the poetic devices used in "A Character" by William Wordsworth?

Poetic devices used in "A Character" by English poet href="http://www.poets.org/poetsorg/poet/william-wordsworth">William
Wordsworth include:

1. Rhyme
Scheme

This poem consists of five stanzas
and each stanza has four lines of verse. In each stanza, lines 1 and 2 rhyme, and lines
4 and 5 rhyme. This rhyme scheme is consistent throughout the entire poem of 20 lines in
total.

2.
Alliteration

An example of alliteration
occurs in stanza two in line two, “Such strength…” Alliteration here appears as the same
consonants at the beginning of the two words – the letter “s”
repeated.

Alliteration also occurs in stanza three in line
two, “ten times…” as well as in stanza four in line two, “shame scarcely
seeming…”

3.
Meter

There is a regular meter to this poem.
The meter is apparent as the poem is read. It essentially is four beats per line based
on the unstressed and stressed syllables. Reading the poem you can tap your feet or hand
to the four beats in each line.

4.
Atmosphere

There is a pensive atmosphere to
“A Character.” The mood or feeling that William Wordsworth creates is one that causes
the reader to ponder what Man is. Right from the start the theme of what constitutes an
individual is apparent. Each person can be full of contrasts throughout his or her life
depending on the situations they face and the life circumstances that occur, as well as
the relationships they have.

The atmosphere of the poem is
set right from the get-go with the line:

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“I marvel how Nature could ever find
space

For so many strange contrasts in one human
face”

Immediately, the reader
begins to ponder the complex makeup of
Man.

5.
Hyperbole

There is some hyperbole in this
Wordsworth poem – overstatement in some lines – words that go beyond typical discourse.
This is heightened or adorned language that gives the poem more of a sense of importance
and elegance. Examples from the poem are these two lines from stanza number two (lines
three and four):

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“Could pierce through a temper that's soft to
disease,

Would be rational peace—a philosopher's
ease.”

Images:
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In As You Like It, please explain the meaning of the following exchange between Touchstone and Rosalind. TOUCHSTONE Nay, if I keep not my...

This exchange occurs in Act I scene 2 of this play, and is
a classic example of a Shakespearian pun, or a play on words. Of course, Rosalind is
showing her customary intelligence and verbal dexterity by quickly deliberately
misinterpreting Touchstone's use of "rank," which he originally meant to refer to
status, as refering actually to bad smells. The phrase that Rosalind interrupts
Touchstone with actually refers to the letting loose or release of a bad smell. Rosalind
is suggesting that Touchstone will break wind if deprived of his
rank.

Note the way that this example of a pun suggests the
intelligence and quick-thinking of Rosalind and the kind of jovial relationship that she
enjoys with Touchstone. They are obviously able to poke fun at each other, which points
towards the way that Touchstone will accompany them as their protector in the Forest of
Arden.

How does Wheeler's description of the frog as "modest & straightfor'ard" provide humor in "The Celebrated Jumping Frog of Calaveras County?"by Mark...

Mark Twain's short story, "The Celebrated Jumping Frog of
Calaveras County," is that much more entertaining when he personifies the animals. He
does a fine job presenting the [nearly] unbelievable personage of Smiley, with a long
list of unusually talented animals. And Wheeler, as the storyteller, personifies several
of the animals in such a way that it simply adds to the sense of hilarity and "fable"
that surrounds these "highly unlikely" tales.

When Wheeler
describes Smiley's dog, Andrew Jackson, the dog is given the sentiments of a human
being:

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...[Andrew Jackson] 'peared surprised, and then
he looked sorter discouraged-like...He give Smiley a look, as much as to say his heart
was broke, and it was his fault, for putting up a dog that hadn't
no hind legs for him to take holt of...and then he limped off a piece and laid down and
died.

Wheeler also describes
Smiley's mare, which is an old nag, but she has an uncanny ability to know when she is
about to be beaten and turns on all the power necessary to win a race. She is
personified also with the use of the word
"desperate:"

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...always at the fag-end of the race she'd get
excited and
desperate-like...

When it
comes to the frog, Wheeler describes it as a: "frog so modest and straightfor'ard as he
was, for all he was so gifted." One thing funny about this is that the frog does what
every frog does: it jumps. It is hard to tell if the frog goes after flies on command,
as that is also something frogs love to do. Perhaps what is most
entertaining about this is the irony involved. The frog is personified using the words
"modest and straightfor'ard," but it would seem that Wheeler—in telling the story—shows
no modesty or honesty regarding the frog...or any of the
animals—it just seems too amazing that they could have all these
qualities.

Discuss John Adam's character and skills. Discuss John Adams's character and skills, both in terms of his personal and professional interactions....

John Adams had a great deal of knowledge, education, and
self-importance.  His education was Harvard law, and he was very active in the cause for
American independence, including the first and second Continental Congresses.  He served
George Washington as vice-president, but felt the position was a waste of his skills and
knowledge.  As president, he had to deal with the possibility of war with France, and
the XYZ affair; he was also the Chief Executive when Congress passed the notorious Alien
and Sedition Acts.  A breach in the relationship between Adams and the egocentric Thomas
Jefferson healed over the years as the men engaged in a copious correspondence debating
civil and philosophical issues.  Both men died within hours of each other on July 4,
1826. 

Why does the old man feel he should risk sleeping in The Old Man and the Sea?

It is clear from the text that the old man is exhausted,
and not only that, but there is going to be bad weather soon, so he needs to make the
most of the opportunity that he has to sleep now before a storm hits and he might not be
able to. In addition, the fish is "calm and steady," and so is unlikely to try and fight
the ties that bind him. Note the way that the old man sets up a system so he can still
have very firm control over the fish, even whilst in
sleep:

My
right hand can hold it as long as it is braced, he thought. If it relaxes in sleep my
left hand will wake me as the line goes out. It is hard on the right hand. But he isused
to punishment. Even if I sleep twenty minutes or a half hour it is
good.

Thus the old man
recognises the importance of sleep to strengthen him for the struggle between himself
and the fish that he sees ahead, and he is able to set up a system to enable him to
maintain control of the fish and not lose him while he sleeps.

In Shakespeare's Hamlet, is Hamlet deserving of Horatio's beautiful epitaph? Why or Why not?

I believe that of all the characters in Shakespeare's
Hamlet, the most noble is Hamlet. Although he is slow to avenge his
father's murder, his intent is sincere and
admirable.

Hamlet tries to make sure that he is dong the
honorable thing in taking Claudius' life when he questions the honesty of the ghost and
his report of Claudius' murder of Old Hamlet. Hamlet drives Ophelia away, but never
means her physical harm—he is devastated by her death. He kills Polonius by mistake,
when the old man is hiding where he does not belong.

Hamlet
is living in the castle with a murderer, someone who would do anything to keep his
title. And while the prince is rough in holding his mother accountable for her hasty and
"incestuous" marriage to her brother-in-law, Hamlet honors his father's directive to
leave Gertrude's punishment to heaven—mother and son make
peace.

Hamlet is a young man without any experience in
facing this kind of situation. He has been away at school. We have no indication that he
has any military experience. He is deficient in knowing how to deal with liars and
murderers. His good nature, perhaps even a sense of guilt over the deaths of Ophelia and
Polonius, leads to his death: even though he suspects an attempt at foul
play.

Horatio is Hamlet's friend. He has watched the
tragedy unfold as his friend has tried to do the right and noble thing with those around
him. I believe that any praise of Hamlet from Horatio is well-placed; Hamlet is
certainly deserving.

Calypso claims that it is her idea to release Odysseus. Why does she do this? I cannot understand why Calypso does this. please help!

Well, anyone who knows Odysseus knows that he has a clever
tongue.  When he refuses Calypso’s invitation to an immortal life (a tempting offer for
anyone) he seems to pacify Calypso by admitting that the wife he returns to (Penelope)
could never compare to the splendor of the Goddess herself. It may be that this flattery
goes a long way to soothe Calypso.

It’s also important to
note that the speech Calypso makes about the double standards of the gods earlier in
book 5 establishes that she has bigger fish to fry than Odysseus. Her problem is really
with Zeus and the male dominated order of the world she lives in. She may be distracted
from the snub by Odysseus by her greater anger for Zeus, or it may be that she’s to a
degree accepting the order of the world she lives in and not raging against it by
unleashing her frustration on Odysseus. Not to mention, she’s been commanded by Zeus to
let Odysseus go, to disobey would spell great trouble for her.

One change brought to the American colonies after the Glorious Revolution was?The new British monarch ignored the colonies because he was...

The best of these answers is 3.  The other answers are not
correct.

In the years before the Glorious Revolution, James
II, the King of England had been trying to gain more control of the colonies.  A notable
part of this effort was the creation of the Dominion of New England.  That was an effort
to bring more of the colonies under his control.  After he was deposed, the new king did
not try to extend the idea of the Dominion.  The new king did appoint
some new governors, but not all of them.  In the years
after the Glorious Revolution, some colonies came more under royal control through the
appointment of new governors and/or through making them into royal
colonies.

How does Ralph's waning confidence in himself show in his words or actions?William Golding's Lord of the Flies

In Chapter Seven of Lord of the
Flies, Ralph begins to have misgivings about his ability to lead the boys on
the island.  As the boys continue their pursuit of the beast, and they stop to
eat, Ralph becomes aware of his dirtiness and long hair--symbolic of their
degeneration:

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He discovered with a little fall of the heart
that these were the conditions he took as normal now....faced by the brute obtuseness of
the ocean...one was clamped down, one was helpless, one was condemned, one
was--

Realizing that Jack is
in charge of the hunt gives Ralph further cause for reflection.  He recalls events and
circumstances of his life before the plane crash, and how "Everything was all right;
everything was good-humored and friendly," not hostile as he and Jack have sometimes
been.  Then, as Ralph ponders his existing state, a pig runs by and he coolly throws his
spear at it.  Caught in the excitement of this primal activity, Ralph vies for attention
against Jack by declaring that he has struck the pig; "[H]e sunned himself in their new
respect and felt that hunting was good after all." Nevertheless, Jack quickly diverts
everyone attention with the ritual hunt with Robert as the
pig.

As the day wans, Ralph suggests that they relight the
fire while Jack wants to continue.  Ralph asks to be allowed to
think. 

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...Ralph had no self-consciousness in public
thinking, but...he would never be a very good chess player.  he thought of the littluns
and Piggy.

Sensing the
growing antagonism of Jack, he asks him, "Why do you hate me?"  And, the sinister figure
of Roger emerges, posing another threat to Ralph.  So, as the boys continue up the
mountain, "Ralph's eyes were blinded with tears" as the "impervious" force of Roger sits
on the log beside him, banging his wooden stick threateningly.  His inner voice tells
him Not to be a fool," but he feels "green lights of nausea" as later Roger lies behind
him, guarding him.

While Ralph's intentions are good--he
wants to relight the fire and return to the others who wait nervously for them, but his
plans are foiled by Jack's ridiculing and Roger's sinister presence.  Even when Ralph
commits a good deed, his actions go unnoticed, causing him to believe that he is losing
his hold as a leader.

How does Esther learn to take control of her sexual identity?

I think that the issues surrounding Esther's sexual
identity revolve around other subterranean conditions that plague Esther.  Essentially,
Esther does what is expected out of her and is never questioning why she does what she
does.  She scores good marks, works as a prestigious intern, and fulfills all that is
required of her.  It is at this point where she begins to delve into a realm of
questioning of her identity and who she is.  From this point, it seems that everything
is fair game.  Like so much in this social setting, there is a belief that all profound
questions can contain easy answers.  These answers are reductive in nature.  For
example, Esther sees her choices as work to be "number one" or to marry and have kids. 
There is little complexity in these options, and this is what drives Esther to question
everything. Her sexuality is a part of this.  I think Esther examines the issue of
sexuality because everything else is being questioned in her life.  The message that
comes out of this questioning process is that individuals must understand their own
identity and who they are, of which sexuality is a part.  It would be another "easy"
answer if Esther were to quickly capitulate to the idea of being with another woman as
solving all of her questions.  She does not, as demonstrated in her rejecting Joan's
advances.  Sexuality is shown to be something that is a part of, but not something that
controls, an individual's identity.  The ending of the story is one where Esther has
understood more of who she is and what that entails.  In "being born twice—patched,
retreaded and approved for the road," Esther has gained a fuller grasp of her identity
and who she is, of which her sexuality is a part.

Is Huck Finn a moral or immoral character based upon his thoughts and actions throughout The Adventures of Huckleberry Finn?

It depends on whether you are looking at the letter of the
law, or the spirit of the law.

By the letter of the law,
Huck does several illegal (and immoral) things. He harbors a run-away slave, he steals
food and supplies, he lies to get out of trouble, and he has nasty habits like smoking
and laziness.

However, Huck's spirit is moral in that he
sees people for who they are and not just as a color or a position in
society.

The best example of this, of course, is the way
Huck is with Jim. Due to his upbringing, Huck does call Jim a N*****, and he struggles
with the idea that helping a slave get free is stealing another person's property, but
he still always sees Jim as a person and a friend.

Whether
they are on an island or floating down the Mississippi on a raft, Huck's conversation
with Jim is free and easy. There is no hierarchy. Huck doesn't demand Jim bow down to
him. Huck even went against his boyhood values by not turning Jim into nearby slave
traders.

Ultimately, Huck even risked hell (which is where
he thought he would go when he didn't write Miss Watson and tell her where Jim was) to
allow Jim his chance at freedom.

In Harper Lee's To Kill a Mockingbird, what is Dill known for, and what are some of his accomplishments and interests?

In Harper Lee's To Kill a
Mockingbird, Dill comes the first summer of the book to visit his Aunt
Rachel. He is short for his age, though he is a year older than
Scout.

Scout believes that under any other circumstances
that Jem would never have looked twice at Dill. However, Dill has been to the movies and
reads, and thus brings an entirely new wealth of ideas for them to role play when they
"pretend."

He
seems to have a limitless
imagination...

When Dill
arrives, he introduces himself and says he has seen the movie
Dracula. Because Dill adds a new dimension to their playing (new
roles, a third person—rather than two), Jem accepts him without
question.

Dill
had seen Dracula, a revelation that moved Jem to eye him with the
beginning of respect.

Besides
the fact that Dill likes to read and likes to play pretend, as do Jem and Scout, Dill is
the mastermind behind deciding to get Boo Radley to come out of his house. The boys also
are masters at developing the "Radley family" game, which entertains them for the entire
summer. Dill is able to get under Jem's skin, though he is younger: for instance, it is
Dill's dare (and the sense that the kids back at Dill's home are braver) that makes Jem
decide to run into the Radley yard and touch their
house.

Dill
got him the third day, when he told Jem that folks in Meridian certainly weren't as
afraid as the folks in Maycomb, that he'd never seen such scary folks as the ones in
Maycomb.

Jem tries to work up
his courage. Dill says that he and Scout will be right behind Jem to save him if it's
necessary. With Dill's nagging and inferences of cowardice, Jem runs up and slaps the
side of the house, running away as if his life depended on
it.

Later in the
novel...

Dill
has declared he will one day marry [Scout], a statement she seems to accept
matter-of-factly.

Dill
quickly becomes like a member of the family; the three are seen together all summer
long. Dill may seem young, and in some ways he
is an innocent—as are Jem and Scout—but he has a wonderful
imagination and is always coming up with new schemes that the adults may not like, but
that Scout, and especially Jem, enjoy.

Which thinking skill did we use in these questions about "Thank You, M'am" to answer them.1.q:Why does Mrs. Jones call the police? a:She wants to...

It is interesting that, out of all the questions you have
listed above, none of the answers are given to us in the text directly. Instead, to find
out these answers, we have had to infer the responses from the information given by the
text. The inferences you have made are based on your ability to pick up on indirect
characterisation, or the ways in which characters are presented to us based on the
observations you have made about characters and the kind of people that they are. This
of course requires more effort and brain power than simply being given the information
by the narrator.

For example, based on your first question,
we are not told why Mrs. Jones does not call the police, but we can see from what she
does for him later on that she is concerned above all that Roger leaves this situation
having learnt right from wrong, because Mrs. Jones recognises that the police would not
be able to teach him this.

To what does Dickens allude in his novel A Tale of Two Cities?

With the historical setting of the French Revolution,
Charles Dickens's novel A Tale of Two Cities certainly alludes to
the storming of In fact, Dickens makes a note to the reader regarding Thomas Carlysle's
The French Revolution: A History. the Bastille and the guillotine
which were parts of the revolution.  In one allusion to the revolution, for instance,
after Dr. Manette returns to France in order to vindicate his son-in-law, Charles
Darnay, ne Evremonde, the bonnets rouges, as the revolutionaries
are called, refer to Manette as "the Bastille
Captive." 

Of course, in the opening chapter of the novel,
Dickens alludes to the respective kings of England, George III, and of France, Louis
XVI, as he draws parallels between the two countries:

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There were a king with a large jaw and a queen
with a plain face on the throne of England; there were a king with a large jaw and a
queen with a fair face, on the throne of
France.

In this same chapter,
Dickens alludes to Mrs. Southcott, a self-proclaimed prophetress, who alledgedly had
many revelations,

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Mrs. Southcott...had heralded the sublime
appearance by announcing that arrangements were made for the swallowing up of London and
Westminister.

In addition,
there is an allusion to the "Cock-lane ghost," a reference to the haunting of the 1760s
of an apartment on Cock Lane, an alleyway adjacent to the famous St. Paul's Cathedral in
London.  William Kent from Norfolk married Elizabeth Lynes who died in childbirth; after
her death, he became involved with the sister Fanny, whom he could not marry because of
canon law.  When Kent had to leave, he asked the landlord's daughter to keep Fanny
company.  It was then that a scratching was heard; this scrathcing continued even after
Fanny died.  Some felt that Fanny died not of the reported smallpox, but was murdered by
William Kent himself. In yet another allusion, that of "the sister of the shield and
trident," Dickens refers to an English symbol associated with currency at the time of
the writing of A Tale of Two Cities.

Other famous places such as Turnham Green, a
public park that originally was a village on the main road between London and the west. 
In 1642 there was a battle fought in the First English Civil War in which the
Parlimentarians blocked the King's advance upon London.

What elements of a gothic horror can be seen in Frankenstein? Provide examples of each element.Thank You

Mary Shelley's Frankenstein is
considered a gothic romance.  Some of the elements of the gothic genre are as
follows:

• Highlights ominous or
  isolated locales (Being on an Ice berg in the middle of the
  ocean)


• Implied danger  (the creature
  is following Frankenstein and threatening his and his family's
  safety)


• Isolated and vulnerable characters
  (Justice, William, Henry... are all characters who are vulnerable to the
  creature's wrath)


• Horrific distress or menace
  (the creature warns Frankenstein that unless he creates a female for him,
  that he will be with him on his wedding
  night)


• Mysterious deaths or disappearances
  (the deaths of Justine, William, Henry,
  Elizabeth)


• Supernatural
  manifestations (the creation of a being made from dead body
  parts)


• Atmosphere of terror and suspense
  (never knowing what the creature will do
  next)

What is the change in potential energy when a 12 N book is raised from a table 75 cm above the floor to a shelf 2.15 m above the floor?

An object kept at a height has a potential energy due to
the gravitational force of attraction of the Earth. This potential energy is acquired as
work has to be done to raise the object.

The gravitational
potential energy is equal to m*g*h, where m is the mass of the object, g is the
acceleration due to gravity and h is the height.

The book
weighs 12.0 N. This gives m*g = 12 N.

When the book is kept
on the table 75 cm above the floor it has a potential energy of 12*0.75 = 9
J.

On the shelf which is 2.15 m above the floor the
potential energy is 12*2.15 = 25.8.

This gives the change
in potential energy when the book is raised from the table and placed on the shelf as
25.8 - 9 = 16.8 J.

To what extent is springtime an appropriate setting for The Story of an Hour? Why do you think the narrator contrasts the vibrant description of...

Spring is a season generally known for its many re-births.
Flowers bloom, birds come back from migration, we picture nests, nature at its most
active, and the air is fresh as the cold of winter still leaves behind a hint of
coolness while the sun warms us up. All these are emotions that entice belonging,
comfort, happiness and, most of all, newness and
freedom.

All these elements are taking place at the time
that Mrs. Mallard receives the news of her husband's death. Just like a flower in the
Spring, Mrs. Mallard finally opens up to the reality of her life: She has re-born into
herself. She feels free from what seems to be a marriage that was less than
satisfactory. She blooms out in joy, awaiting what will happen next now that she, for
the first time, will be a free woman. Although she is shocked at her reaction, it seems
like it was a long time coming. Hence, both the season and Mrs. Mallard have one very
important characteristic in common: They are both starting
over.

However, we know that the story ends when Mrs.
Mallard dies in a shock when her husband arrives and we learn that he was not in the
accident they all thought he was involved in. This is when her new world comes crashing
down in less than one hour. Therefore, although the world outside continues to enjoy the
season, Mrs. Mallard's re-birth came both too early, and too late in her
life.

With regard to Shirley Jackson’s short story, "The Lottery," relate parallels that occur in a modern context.

With regard to Shirley Jackson's "The Lottery," it is
difficult to come up with a situation where one person is sacrificed by the community
through a lottery system, as occurs in Jackson's short
story.

The idea of a "lottery" in modern society is not,
however, unusual in itself. Many (most?) states have a lottery system. The proceeds of
this kind of "gambling" generally benefit others, such as senior
citizens. There is no punishment, as there is with Jackson's
story.

If there is anything that seems to be related to "a
game of chance," while not an actual lottery, I cannot help but think of the way the IRS
decides to audit people, or the way some states, counties, etc., choose people for jury
duty. Jury duty is supposed to be seen as a civic responsibility, and those chosen are
usually only inconvenienced. However, being audited at random seems to be something
where a business or "household" is chosen by chance (not including suspicious tax
returns, tips, etc.), and there can be a great deal of confusion, inconvenience and
upset for those involved. Still, there is no "death" penalty
involved.

Shirley Jackson's husband, Stanley Edgar Hyman (a
literary critic) noted that some people felt that the themes in Jackson's stories were
somehow connected to a form of neurosis on Jackson's part, but he argued that this was
not true, pointing to elements that were reflective of that time—that are still relevant
to our society almost sixty years after the story was printed in
the 1940s. He mentioned...

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'[h]er fierce visions of dissociations and
madness, of alienation and withdrawal, of cruelty and
terror...'

These are not
things found only in fictional novels, or stories of madness or horror: they are a part
of the world even today. Whereas a "lottery" with the same outcome as Jackson's story is
not in evidence today, the societal themes she included in her
writing are.

The point A(3,m) lies on the graph of f(x)=x+2. What is the value of m?

If a point lies on the graph of a function, then it's
coordinates must verify the expression of the
function.

According to all of these, we'll replace x and y
by the coordinates of the point A.

f(x) = x + 2
<=> y = x + 2

A(3 , m) belongs to the graph
of f(x) <=> yA = xA + 2

m = 3 +
2

=> m =
5

The coordinates of the point A, that is
located on the graph of the linear function f(x) = x + 2, are: A(3 ,
5).

Why is it ironic that the pigs carry whips in Chapter 10 of Animal Farm?

One of the primary rules of the animal rebellion was that
those who walked on four legs were good, and those that walked on two legs were bad. In
Chapter 10, the animals were astonished to see the pigs emerge from the farmhouse
walking upright on two legs. Additionally, Napoleon now carried a whip. This irony is
important because Mr. Jones and his workers used to use whips on the other animals--one
of the abuses the animals hated most. Napoleon had already broken another of Old Major's
doctrines--that "no animal must ever tyrannise over his own kind"--but now he was
completing his transition into pseudo-humankind: He had become the animal version of Mr.
Jones, ready to punish with a whip those animals who did not obey his
orders.

In The Hunger Games, explain the irony of the image of Katniss as she "peers through the trees, past the fence, into the meadow."

I am having difficulty tracking down your exact quote, but
I wonder if you are not refering to the moment in chapter two when Katnis volunteers to
replace her sister as the female competitor for the Hunger Games. Note what the text
tells us after Katniss goes up to the stage to receive the dubious
honour:

I put
my hands behind my back and stare into the distance. I can see the hills I climbed this
morning with Gale. For a moment, I yearn for something... the idea of us leaving the
district... making our way into the
woods...

The irony of this
passage lies in the fact that that very morning, Gale had suggested to Katniss that they
lived together in the freedom of the woods to escape the tyranny of their lives.
However, of course, now it is too late as Katniss will represent District Twelve and
there is no escape. I hope this relates to the quote you meant. If you can tell me in
which chapter it is, I might be able to respond more precisely, but I think it probably
relates to the irony I have explained.

Th sum of three consecutive multiples of 5 is 120. Find the three integers.

Let the first number be
X

Then the second number is x+
5

Then the third number is x+
10

Now we are given that the sum of the three terms is
120.

==> x + x+ 5 + x+ 10 =
120

==> 3x + 15 =
120

Now we will subtract 15
.

==> 3x = 105

Now we
will divide by 3.

==> x =
35

Then the numbers are: 35, 40 , and
45.

How does Williams present the conflict between old and new in Scene 2 in A Streetcar Named Desire?

The past in this scene would be represented by Stella's
emotional explanation of Blanche's state of mind.  She tries to convince Stanley to show
compassion and kindness towards Blanche.  In trying to appeal to an emotional frame of
mind, Stella's discussion of Belle Reve represents the past.  The emotional bonds, the
notion of identity tethered to the estate, and the idea that Blanche represents this
area of the past all feed into the first half of the conflict that represents the "old"
aspect of being in the world.  Stanley's reaction would be the primary composition of
the "new."  His responses to his wife have little to do with anything related to
Blanche's notion of identity to the land.  Instead, he is fixated on the money gained
from the sale and if Blanche has stolen the money herself.  He fails to accept that
Blanche's frail condition is because part of her past is now gone into the past, never
to be retrieved again.  Stanley thinks that she has pocketed the money and her emotional
frailty is a front to cover for her crime.  It is here where the "new" is
present.

Describe the death of Simon in Lord of the Flies.

Simon had gone into his grove to contemplate things and
actually passed out or fallen asleep.  While he was unconscious or semi-conscious he has
a very clear vision of the Lord of the Flies and it tells him how they've been chasing a
ghost, that the real fear or the real beast is actually inside of the
boys.

So Simon runs out of the woods to tell the boys and
to try and help them get over this terrible fear, but he stumbles into a group of revved
up boys with spears pretending to kill the beast.  They attack him, out of a mixture of
fear and bloodlust, and stab him to death quickly.

In this paradox, how can ignorance be strength?This is the one question that puzzles me. I cannot seem to find a good answer or understand it well....

Since you do not mention a specific piece of literature, I
expect you are referring to the paradoxical pairing of "ignorance and strength." We
generally assume that strength comes with knowledge. However, when a paradox is
presented—a statement that at first seem self-contradictory and untrue—it does not mean
that it will never make sense: we simply need to look at it in a
different manner. It is important to remember, too, that ignorance does not necessarily
refer to stupidity, but to a lack of knowledge.

In terms of
paradox, we see them in Shakespeare's Macbeth—one of the themes is
"fair is foul and foul is fair." This line comes from the three witches at the beginning
of the play. The comment means "good is bad and bad is good," which sounds impossible.
How can something good be bad? This is a paradox. The answer is that something can
seem good while really being bad, and
something can seem bad while really being
good.

Macbeth
seems like a valiant and loyal follower of the King, but secretly
kills him. Also, when the witches deliver their first set of predictions to Macbeth,
they seem very positive, without any sense risk or danger, but
actually lead to his death. Both are examples of "Fair is
foul…"

At the same time, when the King's sons run away, it
looks as if they are guilty of killing their father, but in truth,
they don't want to be murdered like their father was, and leave only for their
protection, an example of "Foul is fair…"

Regarding the
question of how ignorance can be strength is found in Bret Harte's short story, "The
Outcasts of Poker Flats." A small group of people is banished from Poker Flats because
they are perceived as undesirables. They stop to rest along the way to the next town,
but as they sleep, their mules are stolen by one of the members of the party—creating
dire circumstances for the rest of the outcasts, especially when it
begins to snow. However, a couple from the neighboring town arrive—Simson and Piney—who
are eloping, traveling to Poker Flats to marry.

The young
people are protected physically and emotionally by these outcasts so that Simson and
Piney are not aware of the danger they actually are in. At one point, it is Simson's
ignorance that lends him courage to go out to bring back
help.

One of the women, Mother Shipton, has stopped eating,
wanting her rations to go to Piney—and she dies. Oakhurst, the gambler from Poker Flats,
does not tell anyone of her passing, pretending that she is merely very sick. He tells
Simson that her only hope of survival is that young Simson travel to Poker Flats and
bring back help, which he agrees to do—while Oakhurst chooses to remain behind to help
the women if he can.

Invariably, sending Simson on his way
saves his life: he goes on his journey to save someone else. His ignorance of Mother
Shipton's true condition gives him hope and strength that he might
save her if he is willing to put himself in jeopardy.

In
this way, I can see that ignorance helps one to be strong. Not being aware of the
dangers or uncertainties one may face can provide someone with the strength he or she
needs because there is no perception of danger or uncertainty to create
fear.

Give an example of a function, f(x), that has a local maximum at (-3,3) and a local minimum at (3,-3)

We'll consider a function of 3rd order, at least (a
quadratic has a single local extreme, either maximum, or
minimum).

We'll consider the function of 3rd
order.

f(x) = ax^3 + bx^2 + cx +
d

If the function has a local maximum at (-3,3), it means
that the x coordinate of the local maximum represents the critical value of function,
also it is the zero of the first derivative of the
function.

f'(x) = 3ax^2 + 2bx +
c

f'(-3) = 27a - 6b + c

But
f'(-3)=0 => 27a - 6b + c = 0 (1)

We'll compute
f(-3)=3.

f(-3) = -27a + 9b - 3c +
d

-27a + 9b - 3c + d = 3
(2)

f'(3) = 0 <=> 27a + 6b + c = 0
(3)

f(3) = -3 <=> 27a + 9b + 3c + d = -3
(4)

We'll equate (1)=(3):

27a
- 6b + c = 27a + 6b + c

We'll eliminate like
terms:

-12b = 0 => b =
0

We'll add (2) + (4):

-27a +
9b - 3c + d + 27a + 9b + 3c + d = 3 - 3

We'll substitute b
by 0 and we'll eliminate like terms:

2d =
0

d = 0

We'll substitute b and
d by 0 in 27a + 9b + 3c + d = -3

27a + 3c =
-3

We'll divide by 3:

9a + c =
-1 (5)

Since 27a + 6b + c = 0 and b = 0 => 27a = -c
=> 9a = -c/3 (6)

We'll replace 9a by
(6):

-c/3 + c = -1

-c + 3c =
-3

2c = -3

c =
-3/2

9a = 3/2*3

9a =
1/2

a = 1/18

The
required function, that has local maximum at (-3 , 3) and a local minimum at (3 , -3),
is: g(x) = x^3/18 - 3x/2.

Write a feminist critical analysis in the form of an argument about any of the women in Henrik Ibsen's a Doll's House.

Nora Helmer from Henrik Ibsen's Doll House is a female who
is comfortable stepping out of the role of women at the time frame in which she lived.
She takes matters into her own hands when she borrows money behind her husband's back.
Of course, she does this out of sincere love for her husband
Torvald.

Torvald is ill and needs to live in a warm climate
for a year. Nora realizes that he will never borrow the money to go so she does what she
has to do to save her husband.

While many women of that
time would have not had the courage to do what Nora did, she is a strong-willed
individual who is quite capable of living in man's
world.

Although Nora is a strong-willed woman, there is one
thing that she finds she cannot handle. After being Torvald's wife and her children's
mother, she has lost her identity. In the world she lived in, she would have been
content with the roles she had been given had not Torvald been so ungrateful for the
deed she did to save his life.

Nora puts aside her true
feelings for the man she loves and would have continued to do so had he not found out
about the debt she incurred behind his back. When Torvald learns the truth, he treats
Nora as his child by yelling at her and telling her to go to her
room.

Nora realizes he is ungrateful for what she has done
for him. She cannot love him any longer. She yearns to find her own identity and leaves
Torvald to do so. Finally, Nora will become her own woman. She cannot live as the doll
he has created her to be. She longs to have her own thoughts and feelings and just be
able to voice her own opinion.

Nora leaves her husband at a
time when women were totally dependent on men. This tells the reader how strong she
really is. She will make it without Torvald, and she will finally be happy with the
woman she was born to be.