Given the point (2,3) and the function f(x) = (-m+1)x + 3, find what is m if the point lies to the graph of the function.

Since the point (2,3) is located on the graph of f(x),
therefore, it must verify the given expression of
f(x).

f(2) = 3

We'll replace x
by 2 in the expresison of function:

f(2)=(-m+1)*2 +
3

Replacing x by 2, the function take the value of
3.

(-m+1)*2 + 3 = 3

We'll
subtract 3 both sides;

(-m+1)*2 =
0

We'll divide by 2:

(-m+1) =
0

We'll isolate m to the left
side:

-m = -1

m =
1

Therefore, for the point (2,3) to be
located on the graph of f(x), m takes the value of
1.

Describe the characterization of Kugelmass. What particular characteristics make him a suitable comic protagonist? -one embed at least 1 quotes...

The original question had to be edited down.  To a great
extent, what makes Kugelmass a comic protagonist is that he features a sizable gap
between reality and his own perception of self.  His own condition seems to not converge
with how he sees himself.  This lack of understanding is where he enables himself to
become a comic protagonist.  For example, while he sees himself as one with "soul" and
akin to a dashing ladies' man, the reality is that Kugelmass is ‘‘bald and hairy as a
bear" and aging.  He does not fully embrace his own sense of self and his own identity,
and this is what makes him so comic in many respects.  This lack of convergence between
who he is and who he thinks himself to be is where the humor arises in the
disintegration between he and Emma.  It is out of this that Kugelmass,  who thinks he
has manipulated a situation to his ultimate advantage without really caring for anyone
else, ends up becoming a comic figure when the situation turns on him and makes his life
more frustrating.  It is for this reason that he is a comic protagonist.  Kugelmass'
inability to recognize reality and his place in it is what allows for the situations in
the narrative to happen.  Consider the ending when he wants to be a character in
Portnoy's Complaint, but ends up being inserted in a Spanish
textbook, as representative of this.  It is here where his comic sensibilities are
evident, in a complete refusal to accept what reality is and his place within
it.

What exactly caused the Great Depression and what are the most important dates?

There were numerous elements that led to the Great
Depression. The Stock Market Crash of October 29, 1929 was symptomatic of the problems
leading to the depression but was not per se the cause of the depression.  Among the
causes:

Businesses had tried to maintain prices and take
profits while holding wages down. The end result was that one third of personal income
went to 5 % of the population. Profits were put into expansion rather than wages,
businesses created an imbalance between productivity and purchasing power. They never
made the connection.

Governmental policies didn’t help.
Secretary of the Treasury Andrew Mellon’s tax policies encouraged over-saving, which
diminished the demand for consumer goods. This extra money in the money supply
encouraged speculation. Much of that overspeculation was in the Stock market and real
estate.There were signs in the air that things were about to come to a screeching halt.
Residential construction and automobile production were catching up with demand. There
were no more people standing in line to buy them. Business inventories began to rise
because there were not that many customers; and consumer spending began to slacken off.
All these are signs of a slowing economy, but the speculators in the stock market
ignored the signs, and continued to buy, buy, buy, and as a result, the market continued
to rise.

The gold standard was another problem. Keeping
money tied to gold kept the money supply tight, and made the economy worse. The only way
that the economy could stabilize under the gold standard was to allow prices and wages
to fall until they reached a point where they were stable. Needless to say, it would
wipe out a lot of people on the way down.

By 1929, the
market had gotten so high it was a fantasy world, everybody knew it was overpriced, but
it didn’t stop. Financial experts who argued that things should slow down were ignored.
Hoover was worried, and told the Federal Reserve to discourage speculation. As a result,
the Fed raised the discount rate, the amount it loaned to member banks, thereby making
it more expensive to borrow money, but it had no effect.

By
Fall of 1929, the stock market began to fluctuate; it was beginning to show signs of
uneasiness. Finally, investors got worried, and were afraid prices could go no further,
and started unloading shares. This, of course, drove prices down. The market staggered
for a few days until Tuesday, October 29, 1929, (Black Tuesday); the bottom fell out,
with sellers dumping stock wildly. The end result was the most disastrous day in Wall
Street history. A busy day for the market then was three million shares. On that day,
16.4 million shares were traded.

The decline in the stock
market and slowdown in the economy caused consumers and business people to hold out for
lower prices. As a result, prices fell, but at the same time wages fell, and business
dropped drastically. From 1929 – 1932, American’s personal incomes fell by more than
half. More than 9,000 banks closed; hundreds of factories and mines shut down, thousands
of farms were sold at foreclosure

Please give an example in detail of how you would obtain a sample from one of the techniques listed below and please just select one.Random...

It's difficult to answer your question because I don't
know what you'd like a Random Sample of ... but let's suppose it's people.  If you had a
large number of people to select from, let's say all the students in your school, you
might want to do this.  Number all the students in your school in alphabetical order. 
Then use a random number generator and have it generate numbers from 1 to the number of
students in your school.  You could then search through the list and take the number of
students you need from 1 - the number you need.  You'd have to search through the list
to find the numbers, but if you use excel, you can have it sort the list and find the
students for you.  Of course, this is only a random sample of a small population, but it
would work for a study of high school students.

You should
remember that there are statisticians and mathematicians who dispute even the
possibility of randomness.  I posted a link to Wikipedia that will give you a little
idea of the history and problems with "randomness."  You might also want to read "The
Drunkard's Walk" which deals with this in an interesting manner.

What hints are there in “Respuesta a Sor Filotea” that indicate that Sor Juana Inés de la Cruz is responding to some criticism?

In “Respuesta a Sor Filotea” by Sor Juana Inés de la Cruz,
there are quite a few references that show that she was responding to criticism when she
wrote it.

In one case, Sor Juana humbles herself by stating
that she is not a learned person (untrue), and declares that she does not want to get in
trouble with the Church:

readability="13">

What understanding do I possess, what studies,
what subject matter, or what instruction...? They can leave such things to those who
understand them; as for me, I want no trouble with the Holy Office, for I am but
ignorant and tremble lest I utter some ill-sounding proposition or twist the true
meaning of some passage.

Sor
Juana explains that she has received many "reprimands," that God has given her the gift
of intelligence, and that she has prayed that God would diminish her "intellect" so that
she can better do God's work—and only God's work. This indicates to
me that all she has and is struggling to confine what she does—defending that God has
given her a need to study and learn. As a nun, in that God has given her a gift, it
could only be condemnation on someone else's part that would make her ask God to take
away some part of the blessing he felt appropriate to give her. She also alludes to the
idea within society that a woman with too much knowledge is
dangerous.

readability="13">

For ever since the light of reason first dawned
in me, my inclination to letters was marked by such passion and vehemence that neither
the reprimands of others (for I have received many) nor reflections of my own (there
have been more than a few) have sufficed to make me abandon my pursuit of this native
impulse that God Himself bestowed on me. His Majesty knows why and to what end He did
so, and He knows that I have prayed that he snuff out the light of my intellect, leaving
only enough to keep His Law. For more than that is too much, some would say, in a
woman...

Sor Juana goes on to
note that while she has tried to change, she has been unable to escape her greatest
enemy: herself.

readability="8">

I thought I was fleeing myself, but --- woe is
me! --- I brought myself with me, and brought my greatest enemy in my inclination to
study...

Sor Juana's use of
the word "transgression" in her question directly challenges a critic as to what she has
done wrong:

readability="7">

Then where is my transgression, if I refrain even
from that which is permissible to women --- to teach by writing --- because I know
myself to lack the abundant talent needed for
it...?

There is also a
defensive note in the following with the use of the word "crime" as written by Sor
Juana:

If my
crime lies in the "Letter Worthy of
Athena"...

Additional phrases
in her writing of “Respuesta a Sor Filotea” create a tone of defense against
criticism:

readability="6">

Then what harm can verses
cause...For their misuse is no fault of the art...And if the
evil lies in their being used by a
woman...

Sor Juana did
receive a letter of praise and criticism which prompted her to
write “Respuesta a Sor Filotea.” Though it was written ostensibly by another poetess, it
actually came from a bishop who suggested that she stop writing for a non-religious
("secular") world and devote herself to her faith. She sold her books—said to number
about four thousand. Though greatly admired as a writer, she removed herself from the
public arena and, while seeing to the needs of some fellow nuns who had become ill from
an epidemic, she too succumbed to the same illness and died at the age of
forty-four.

Evaluate the limit of f(x)-x, if x goes to -infinite and f(x)=(x^3+3x)/(x^2+1)?

We'll calculate the expression f(x) -
x:

f(x) - x = (x^3+3x)/(x^2+1) -
x

f(x) - x = [(x^3+3x) -
x*(x^2+1)]/(x^2+1)

We'll remove the
brackets:

f(x) - x = (x^3 + 3x - x^3 -
x)/(x^2+1)

We'll eliminate like terms inside brackets from
numerator;

f(x) - x =
(2x)/(x^2+1)

Now, we'll evaluate the limit, if x approaches
to -infinite:

lim [f(x) - x] = lim
(2x)/(x^2+1)

We'll force the factor x^2, at
denominator:

lim (2x)/(x^2+1) = lim 2x/x^2*(1 +
1/x^2)

We'll simplify:

lim
2/x*(1 + 1/x^2) = lim (2/x)*lim [1/(1 + 1/x^2)]

Since the
limit of 2/x approaches to zero, if x approaches to - infinite and the limit of 1/x^2
approaches to zero, if x approaches to - infinite, we'll
get:

lim (2/x)*lim [1/(1 + 1/x^2)] = 0*1/(1+0) =
0

The requested limit of the difference f(x)
- x, if x approaches to -infinite is lim [f(x) - x] =
0.

Is an animal an insect? Why or why not?

I believe you are actually asking if an insect is an
animal. The answer to that question emphatically is yes! To be classified in Kingdom
Animalia, the organism must be multicellular, and it must be heterotrophic. It relies on
other organisms for a source of food. Animal cells are eukaryotic with a true nucleus
and organelles adapted for carrying out life functions. Most animals contain tissues,
specialized cells that carry out a particular function. However, primitive animals like
sponges do not. Animals can usually carry out locomotion, although some are sessile.
Insects fit all the characteristics that place them in the Kingdom
Animalia.