409 Answered Questions for the topic Calculus 2

Calculus 2 Calculus Calculus 3

02/07/16

Which convergence test???

Which convergence test(s) would you use to determine the convergence of the series below?   ∑_(i=0)^∞  (i+3)/i!
Calculus 2 Calculus 3 Calculus 1

02/07/16

converges or diverges ??

Explain why the series below Explain why the series below converges or diverges using the p-series test.      ∑_(i=1)^∞  1/i^3
Calculus 2 Calculus Calculus 3

02/07/16

Evaluate the geometric series below?

Evaluate the geometric series below.   ∑_(i=0)^∞  12(4/7)^i

02/04/16

Evaluate the finite series below.

∑_(i=1)^4¦(i−1)!/t^2

02/04/16

terms and sequences

List the first 6 terms of the sequence below.   (−1)^(n−1)/2n
Calculus 2

02/02/16

how to integrate e^(-5x/7) from -7 to infinity?is it finite or infinite?if so than why?

i see that this graph goes to infinity at -2 and horizontally it starts from 2.so its indefinite i guess but whats the reason for that.
Calculus 2 Math Calculus Calculus 3

01/31/16

Find the volume of the solid generated???

Let R be the region bounded by two curves described below. Find the volume of the solid generated when R is revolved about the x-axis.       y=2x y=16 4√x
Calculus 2 Math Calculus Calculus 1

01/31/16

How much work is required to move an object horizontally???

The definition of work, W, done by a force F in moving an object from point a to point b is given below. How much work is required to move an object horizontally from a = 1 m to b = 3 m by force... more
Calculus 2 Math Calculus Calculus 1

01/31/16

area bound by y and the x-axis?

What is the area bound by y and the x-axis?   y=2 sin2x
Calculus 2 Math Calculus Calculus 1

01/31/16

indefinite integral??

Find the indefinite integral below.   ∫(x^(3/4)+x^(5/2) )dx
Calculus 2 Math

01/31/16

speed and velocity question

An baseball travels horizontally with a velocity v below. How far does it roll between t = 0 and t = 4 seconds?   v(t)=2t+5
Calculus 2

01/07/16

Maclaurin series for e^x and Riemann sum

Find the Maclaurin series using e¹ for the lim n->∞ nsin(2πen!):The Maclaurin series for e×=1+x+x²/2!+x³/3!+...=∑x^k/k! as k goes from 0 to ∞. Time=Distance/Rate.Is the Maclaurin series for e×... more
Calculus 2

12/15/15

Find all 4 intersection points of the graphs r=1+cos? and r=1+sin(2?)

Find all 4 intersection points of the graphs r=1+cosθ and r=1+sin(2θ).

12/13/15

calculus function

You can perform calculus on functions with several variables. For example, you now know how to find limits of functions with a single variable and are able to extend the knowledge to functions of... more

12/13/15

units a product can produce?

Assume that a company's Cobb-Douglass Function (both L and C are in thousands) is given below. If the company spends $20,000 on labor and $9,000 on capital expenditure, how many units of its... more
Calculus 2 Calculus

12/06/15

Indefinite integral

∫(5x+1)/(x-4)(x+1)2 dx
Calculus 2 Polar Curve

12/06/15

Find the exact length of the polar curve. r = e^9x, 0 = x = 2pi

Find the exact length of the polar curve. r = e^(9θ), 0 ≤ θ ≤ 2π
Calculus 2

12/03/15

Series converges or diverges

∞∑  ((3n-2)/(5n+1))^nn=1
Calculus 2

12/03/15

Determine if the series converges or diverges

∞∑ (n!/3n)n=0
Calculus 2

12/03/15

Series converges or diverges

∞∑ (5)/(n√n)n=1
Calculus 2

12/03/15

Determine if the sequence converges or diverges

an=(1+(1/n3))^n
Calculus 2

12/03/15

Formula for the nth term of the sequence

1/4, -8/9, 27/16, -64/25, 125/36, -216/49,...
Calculus 2

12/03/15

Indefinite integral

∫(1)/x2-3x-10 dx
Calculus 2 Math

12/03/15

Using f(theta) = 1 + cos(theta), find the equation of the tangent line at theta = pi/4. Then graph the line.

I already have the equation graphed. Just can't seem to get equation for the tangent line right.
Calculus 2

11/16/15

Evaluating the integral of 1 divided by x (x^2+4)^2 dx

Evaluating the integral of 1 divided by x (x^2+4)^2 dx

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