330 Answered Questions for the topic Calculus 2
Convert the following polar equation to Cartesian coordinates.
Convert the following polar equation to Cartesian coordinates. r=8 sin 0
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
Convert the following polar coordinates to Cartesian coordinates.
Convert the following polar coordinates to Cartesian coordinates. (3,pi/4)
Plot the parametric equations???
Plot the parametric equations below. x=6 cos t y=4 sin t
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?
Which convergence test???
Which convergence test(s) would you use to determine the convergence of the series below? ∑_(i=0)^∞ (i+3)/i!
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
Evaluate the geometric series below?
Evaluate the geometric series below. ∑_(i=0)^∞ 12(4/7)^i
terms and sequences
List the first 6 terms of the sequence below. (−1)^(n−1)/2n
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.
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
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
area bound by y and the x-axis?
What is the area bound by y and the x-axis? y=2 sin2x
Find the indefinite integral below. ∫(x^(3/4)+x^(5/2) )dx
Calculus 2 Math
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
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
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).
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
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
Determine if the series converges or diverges
Series converges or diverges
Formula for the nth term of the sequence
1/4, -8/9, 27/16, -64/25, 125/36, -216/49,...