330 Answered Questions for the topic Calculus 2

Calculus 2 Calculus Calculus 3

02/16/16

Convert the following polar equation to Cartesian coordinates.

Convert the following polar equation to Cartesian coordinates.   r=8 sin 0
Calculus 2 Calculus Calculus 3

02/16/16

Find dy/dx ??

Given the parametric equations x = f(t) and y = g(t), dy/dx is given by g'(t)/f'(t). Find dy/dx given parametric equations below.   dy/dx=(g^′ (t))/(f^′ (t) )   Parametric... more
Calculus 2 Calculus Calculus 3

02/16/16

Convert the following polar coordinates to Cartesian coordinates.

Convert the following polar coordinates to Cartesian coordinates.   (3,pi/4)
Calculus 2 Calculus Calculus 3

02/16/16

Plot the parametric equations???

Plot the parametric equations below.   x=6 cos t y=4 sin t
Calculus 2 Calculus Calc

02/15/16

Migratory birds fly north past a check-point at 300-300cos(pi(t)/6) birds per month. t= number of months since the beginning of the year.

A. Find the total number of birds for the year. B. When are the birds migrating the fastest. C. When is the migratory rate increasing the fastest?
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
Calculus 2 Calculus Calculus 3

02/04/16

Evaluate the finite series below.

∑_(i=1)^4¦(i−1)!/t^2
Calculus 2 Calculus Calculus 3

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

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

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

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

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).
Calculus 2 Calculus Calculus 3

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
Calculus 2 Calculus Calculus 3

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

12/03/15

∞∑ (n!/3n)n=0
Calculus 2

12/03/15

∞∑ (5)/(n√n)n=1
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

∫(1)/x2-3x-10 dx

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