How do you think life was like living during the great depression?

The fact that the people who lived through the Great
Depression never forgot it tells much of the desperation of the times.  They remained
frugal until their last moments, saving such small items as sacks or anything that could
be reused.  Always they talked of how certain foods were unavailable, and if they did
have something, they made it last for days.  Of course, there were the long lines that
people so patiently waited in to get bread or soup. And, worse, there were people who
jumped from windows in their despair over fortunes
lost. 

One needs only read Steinbeck's The Grapes
of Wrath that tells of the plight of the tenant farmers in the Dust Bowl and
Of Mice and Men to learn how alienated people were in this time,
how mistrustful they were of others.  Woody Guthrie traveled in boxcars on trains and
sang of the desperation of the time. Numbers of workers were drawn to Socialism and
Communism and waged strikes in the hopes that they could attain a better
life.

Dorothea Lange, a phographer of the Depression era,
is known for her realistic and haunting images.  Her 1935 shapshot of a migrant worker
with her children bespeaks volumes of the poverty and destitution that people of this
era lived in. Once proud people were dependent upon the government to provide for them,
and they were ashamed. But, they had to work and the WPA provided jobs.  Or, they were
too proud, like Mr. Cunningham of To Kill a Mockingbird.  Still
others turned to illegal activity such as bootlegging.  "People did what they had to
do," remarks one octegenarian. Still, the "picture shows" thrived during this time
period as people were delighted to enter the theatre and forget the misery outside. 
Nearly every Depression-era movie had a happy, positive
end.

The Great Depression followed by World War II is what
made those that Tom Brokraw calls "The Greatest Generation."  As Elie Kazan, the famous
director remarked, "Only when people endure a great struggle in their lives do they
truly become a person of worth."  Certainly, the Depression and WWII were trying times
that made people worth their mettle.

Most members of the black middle class that developed in the South in the late 1800s worked as what?

In general, the black middle class that arose in the South
after Reconstruction came from a small class of entrepreneurs who provided services (and
some goods) to fellow African Americans.  African American businesses were not going to
be able to attract white patrons and so black businessmen had to cater to other
blacks.

Much of the middle class worked as
semi-professionals.  There were ministers of black churches and there were black
undertakers.  There were also operators of small grocery stores, barber shops,
etc.

In other words, the black middle class did not spring
up by working as management or white-collar types in big businesses.  Instead, they
tended to be small entrepreneurs catering to an African American
clientele.

How does Roald Dahl create tension in the story "The Landlady"?

In this story, Roald Dahl's "The Landlady," tension is
created by the use of suspense. We know from the very beginning that something is not
quite right. Billy has every intention of going one place and ends up in a totally
different place after experiencing some kind of hypnotic moment. We know that things
just are not quite right at the Landlady's house, as well. Umbrellas in the stand but no
guests in the house. A bed turned down and a room waiting for him when he had no plans
to even be there. Cryptic remarks by the Landlady throughout Billy's time there.
Recognizable names in the guest book--with no evidence of their having ever left. From
beginning to end, something is just not right. It is this which creates the tension
which builds to the rather shocking--though not all that
surprising--climax.

What are the similarities and differences between Vietnam and the September 11th attack?

I would argue that the similarities that exist between the
two events are largely based on different groups' reactions after the initial
incidents.  Below are several similarities, because I see from the other answers that
you already have many valid differences:

1.  The Gulf of
Tonkin incident and the attack on 9/11: In 1964, US ships were allegedly attacked on two
different days in the Gulf of Tonkin by North Vietnamese forces.  When the second attack
occurred (there is still controversy about what actually happened), President Johnson
was granted power by Congress to defend any Southeast Asian country that might come
under attack as we did in the Gulf.  This decision eventually led up to the significant
number of US troops deployed to Vietnam.  Immediately after the attack on 9/11,
President Bush announced that the US would retaliate and soon sent troops into
Afghanistan where Osama bin Laden (who claimed responsibility for the attacks) was last
known to be hiding.  At the time, similar to the Gulf of Tonkin Resolution granted
President Johnson which showed Congress's support for some military action, the US
Congress was solidly behind the President sending troops into Afghanistan.  However,
public opinion and much of the support in Congress have waned over the past 9 years to
the point where some are calling for a complete withdrawal from Afghanistan just as many
called for a complete withdrawal from Vietnam.

2. The
conflict in Vietnam and the conflict in Afghanistan (a result of the 9/11 attacks) do
have quite a few similarities.  US and NATO troops do not really know whom to trust in
Afghanistan just as Americans did not know whom to trust in Vietnam.  When different
sects of a country are fighting against one another and a foreign element is introduced,
the indigenous people of the country have to try to figure out which side to take--not
an easy thing to do when you consider that you might be on the wrong side at the end of
the conflict and end up being punished for your earlier decision. Similarly, the
conflict in both countries mainly involves guerrilla warfare, especially on the NVA's
and Taliban's part.  The US has had to adapt to situations where its modern technology
does not always work the best in a rugged terrain which the enemy knows
thoroughly.

(x-2), 6, (2x-3) are terms of an A.P, find x.

Given the terms:

(x-2) , 6,
(2x-3) are terms of an arithmetical progression.

Then, we
will assume that "r" is the common difference between
terms.

==> 6 = (x-2) +
r

==> x+r =
8.............(1)

==> (2x-3) = 6 +
r

==> 2x -r = 9
..............(2)

Now we will solve the system using the
elimination method.

We will add (1) and
(2).

==> 3x =
17

==> x =
17/3

==> r = 6- 11/3 =
7/3

==> (x-2) = 17/3 - 6/3 =
11/3

==> 6 =
6

==> 2x-3 = 34/3 - 9/3 =
25/3

==> 11/3, 6, 25/3  are terms of
A.P and the common difference is r = 7/3

What are the steps the Nurse is to take in carrying out Romeo's instructions in Act 2 Scene 4 of Romeo and Juliet?

In this important scene in the play, Romeo tells the Nurse
to tell Juliet to invent some reason that will enable her to go to the cell of Friar
Laurence that very afternoon, so that she and Romeo may be married. In addition, Romeo
tells her that Peter, Romeo's servant, will meet them behind the abbey wall in an hour.
Thus it is that the plan is hatched for the secret wedding of a Capulet and a Montague
that will of course have far reaching consequences for both of them and indeed for their
families. Of course, the Nurse and Peter are both true to their word and fulfill their
instructions to the letter, ensuring that these two "star cross'd lovers" are united,
albeit temporarily.

Prove that : (cot(x))/(1-sin^2(x)) + (cos(x))/ (csc^2(x)-1) = (sec (x)) (sin^2(x)+ csc (x))

We have to prove (cot(x))/(1-sin^2(x)) + (cos(x))/
(csc^2(x)-1) = (sec (x)) (sin^2(x)+ csc
(x))

(cot(x))/(1-sin^2(x)) + (cos(x))/
(csc^2(x)-1)

=> (cot x/(cos x)^2) + (cos(x))/ ((1/
(sin x)^2) -1)

=> (cot x/(cos x)^2) + (cos(x))/ ((1
- (sin x)^2)/ (sin x)^2)

=> (cot x/(cos x)^2) +
(cos(x))/ [(cos x)^2 / (sin x)^2)]

=> (cot x/(cos
x)^2) + (cos(x) * (sin x)^2/ (cos x)^2

=> (cos x/
sin x)/ (cos x)^2) + (cos(x) * (sin x)^2)/ (cos
x)^2

=> 1 / (sin x*cos x) + (sin x)^2/ cos
x

=> 1 / (sin x*cos x) + (sin x)^3/ cos x * sin
x

=> [1 + (sin x)^3] / (cos x * sin x)
...(1)

(sec (x)) (sin^2(x)+ csc
(x))

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

=> (1/ cos x)*[(sin x)^3 + 1]/ sin
x

=> [1 + (sin x)^3]/( sin x* cos x)
...(2)

From (1) and (2), we see that they are
equal.

This proves that (cot(x))/(1-sin^2(x))
+ (cos(x))/ (csc^2(x)-1) = (sec (x)) (sin^2(x)+ csc
(x))