330 Answered Questions for the topic Calculus 2

Calculus 2

08/31/16

#### How do you integrate square root of x^2-9 all if that over x^3 with respect to x?

What is the answer?

08/05/16

#### dividing fractions with x

(x^2 -1)/(x-1)
can I divide the X^2 by the x, and the -1 by the -1 to give me x+1, or do I need to separate it into
x^2/(x-1) and -1/(x-1) to get
-x + -1/(x-1)

Calculus 2

07/23/16

#### eliminate parameter of : y= (9cost +4); y=9sint + 1

what is the graph
hard to simplify
need help

Calculus 2

07/22/16

#### n! / ((n/e) ^ n)

converges or diverges
i think if i use ratio test ill end up with 1 which is inconclusive
help pls

Calculus 2

06/30/16

#### how long to fill a propane tank to 1/4 full using volume of a solid of rotation

I am having a huge problem with this homework problem. I have tried it a couple different ways but nothing I get is anything like a right answer. heres the problem,
A propane tank is in the...
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Calculus 2 Limits

06/28/16

#### limit of logs and es

lim as x approaches infinity of ln (3)
lim as x approaches infinity of ln (3-4x)
lim as x approaches infinity of -1/5 (e ^ - 5x)
lim as x approaches infinity of -1/5 (e ^ -10)

Calculus 2 Integrals

06/28/16

#### integral of (x-2)^-3/2

integral of quantity x-2 raised to three halves
need help asap
thanks

Calculus 2

06/26/16

#### selling computer and tablet

Pam owns an electronics store with storage capacity for 100 computer tablets. She currently has 80 computer tablets in inventory and determines that they are selling at a daily rate equal to 17% of...
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Calculus 2

06/26/16

#### salt in a tank

A 200-gallon tank is currently half full of water that contains 30 pounds of salt. A solution containing 2 pounds of salt per gallon enters the tank at a rate of 6 gallons per minute, and the...
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06/22/16

#### Prove the following is true:

Prove that the indefinite integral from 0->pi/2 of cos^10(x) dx = 9/10 times the indefinite integral from 0->pi/2 of cos^8(x) dx
This problem showed up on one of the old exams and I fear...
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Calculus 2

06/21/16

#### particular solution of the given differential equation

i need help solving this problem
Find the particular solution of the given differential equationdy/dx=−6xe^(y−x^2) ;y=12 when x=1.

Calculus 2

06/21/16

#### separation of variables to find k and y(t)

I need help solving this problem:
A function y(t) is a solution ofdy/dt+t^(k)*y=0.
Suppose that y(0)=1 and y(1)=e−5Find k and find y(t).
can anyone please help?

#### L HOPITALS and derivative

ive got 3 questions
lim x approaches positive 1 (sq rt of x^2 - 1) / (arcsecx)
lim x approaches 0 2arctan3x^2 / 7x^2
initial value prob
dy/dx=1/(x^2+1) -1
I NEED HELP...
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Calculus 2

06/14/16

#### Indefinite Integrals

Hi, could someone walk me through this problem?
Indefinite integral of [v + 1/((4v-7)^8)]

06/10/16

#### Solve the differential equation xy' = y + xe^(9y/x) by making the change of variable v = y/x.

Solve the differential equation xy' = y + xe^(9y/x) by making the change of variable v = y/x.
Please help and show your work! Thanks in advance!

Calculus 2

06/08/16

#### Shell Method

Consider the graph of y2 = x(4 − x)2. Find the volumes of the solids that are generated when the loop of this graph is revolved about each of the following: the x-axis, the y-axis, and the line...
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Calculus 2

06/03/16

#### Hydrostatic Force of A Cylindrical Tank!!! PLEASE HELP! CALCULUS 2

A cylindrical tank with a diameter of 6m is placed so that the axis of the cylinder is horizontal. Find the fluid force on a circular end of the tank if the tank is half full. The density of water...
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Calculus 2

05/28/16

#### CALC 2: Area of a Surface of Revolution (WEBASSIGN)?

Consider the following. x=y+y^3 from 0 to 4 (a) Set up an integral for the area of the surface obtained by rotating the curve about the x-axis and the y-axis. (i) the x-axis S=...
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#### Find the expression for hydrostatic force on a square

Find the expression for hydrostatic force on a square as it rotated under the water with one vertex always on the surface of water. Break down the square in three parts and find the force as a...
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Calculus 2

05/01/16

#### Solve the problem

The amount of alcohol in the bloodstream, A, declines at a rate proportional to the amount. That is, dA/dt = kA
If k=-0.3 for a person, how long will it take for his alcohol concentration to...
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Calculus 2

05/01/16

#### Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis

y=3x
y=3
x=0

Calculus 2

05/01/16

#### Find a polar equation for the curve represented by the given Cartesian equation.

2x+3y=6
A) 2sinθ+3cosθ=6r
B) r(2cosθ+3sinθ)=6
C) r(2sinθ+3cosθ)=6
D) 2cosθ+3sinθ=6r

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