373 Answered Questions for the topic Calculus 2

07/07/18

#### Find an area bounded by a graph

I need help with this task.
cx(x^2/a^2+y^2/b^2)=y^2,x=b^2/c

Calculus 2

07/03/18

#### The solid S has a base described by the circle x^2+y^2=3. What is the volume of S with Cross sections perpendicular to the x-axis and the base are rectangles

The solid S has a base described by the circle x^2+y^2=36. Cross sections perpendicular to the x-axis and the base are rectangles whose height from the base is one-ninth its length. What is the...
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Calculus 2 Differential Equations

06/30/18

#### Determine which function is a solution to the differential equation y ' − y = 0.

a) e^x
b) square root of 2x
c) x
d) none of these

06/30/18

#### Solve the differential equation

the product of 1/6x and dy/dx equals y times the square root of the quantity 3x squared - 1.

06/30/18

#### Find the absolute value of the resulting error if the value of the integral from 0 to 3 of x cubed, dx is estimated with 3 inscribed rectangles of equal width.

a) 87.75
b) 15.75
c) 11.25
d) 6.75

Calculus 2

06/24/18

#### Find the area enclosed by the polar curve r=8e^(0.9θ) on the interval 0≤θ≤1/8 and the straight line segment between its ends. Area = P.S. Its not 4.486.

Polar Curve and straight line segment.

Calculus 2

06/07/18

#### Volume of solid by rotating it

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.y = x2, x = y2; about y = 1

06/06/18

#### Points of discountity

how do we find the points of discountity of
f(x)=8x/5x^2-1?
If i made the denominator =0 i would get squared 1/5 and then when i will plug it back it will be undefined or am i doing it wrong !
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05/31/18

#### Confused about limits?

As lim x approaches -3 of x^2-3x/x^2-9
1.how can you solve it in a step by step i am really confused
2. When finding the sided limit we subsitutw in the original function or after we factor it?

#### How can you compute the domain of g and g'(t) without computing any integrals in its definiton?

g(t)= ∫0t((1/1-x)+(1/(1+x)^2))dx

05/14/18

#### Consider the differential equation dy/dx=x^2+4y-1. If y=f(x) is the solution to the differential equation, at what point does f have a relative maximum?

Possible answers include:
A. (3, -2)
B. (0, 1/4)
C. (-2, -1)
D. (-5,-6)

05/11/18

#### calculus question, need help please!

Let R be the region in R^2 enclosed by the curve y = x^2 + 3 and the line y = 4x + 3.
a) Write the area of R as a definite integral.
b) Calculate the area of R.

Calculus 2

05/08/18

#### Suppose f is continuous and f is one-to-one. Then f −1 exists and f −1 is differentiable.

cal 2 cal 2 cal 2 cal 2 cal 2

Calculus 2

05/02/18

#### find the derivative of (sech(4x))^2

I calculated the answer to be -8sech^2(4x)tanh(4x) but i'm not sure if it is correct.

Calculus 2 Trigonometric Functions

04/29/18

#### Tempuratures using Trig Function

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 38 and 52 degrees during the day and the average daily temperature first...
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Calculus 2

04/22/18

#### Use known Taylor Series to find the value for...

Use known Taylor Series to find the value for: (π is Pi character)
π/3 - π/3^3 * 3! + π/3^5 * 5! - π/3^7 * 7! + ......

Calculus 2

04/22/18

#### Suppose f(x) is a function with continous Derivatives...

Suppose f(x) is a function with continous Derivatives and..
f(8) = 4 f'(8)= 5 f''(8)=-4 f'''(8)= 1
a.) Write the Taylor Polynomial of degree 3 (first four terms) of f(x) centered at...
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#### How do I solve this Integral? (Pic attached in link)

I have been stuck on this integral for 3 hours. Here is what I have so far.. : https://ibb.co/mWAC7x

Calculus 2

03/14/18

#### How to prove that the limit lim_{(x,y)->(1,2)} (e^{y(x-1)}-1)/(1-x)(y+1) exists and equal to -2/3 ?

Prove that

03/03/18

#### Which limits do you use when finding arclength of a rose?

What is the arclength of r=6sin(3θ)?
Given the formula Lpolar= ∫√[r^2+(dr/dθ)^2]dθ I can find the arc length using the r stated above and r'=18cos(3θ)
Given that one petal is between θ of 0 and...
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02/14/18

#### how do I simplify these trig expressions?

cos-1(cos(47pi/12)
arcsin(tan(-pi/6))
csc-1(cos(2017pi/2018))
cot(arcsin(1/2 csc(-11pi/4)))

#### This was on my first Calc 2 quiz: $2\int_{-3}^{3}e^x^4dx$

I feel that there should be another x in the problem so that u sub works, or something, as it is I believe it is a partial gamma function or something, but I know we should not learn those until...
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01/27/18

#### Fractions Equal??

Just wondering: Are these two quantities equal?(2/3)x^3 = 2x^(3)/3 ??Please be as detailed in your explanation as possible, perhaps proving your response. It is appreciated!

#### Consider the function f(x)=e^(3x)*g(x) , where g(0)=13 and g′(0)=−2 Find f′(0)

This is for my homework I need an explanation of how to do this. please

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