Recent content by silverbell

I drew a sketch. I'm not sure what do do about the radius part. I know y= 2 is the higher radius along the x-axis. And y= 1 is the lower radius along the x-axis. Do I subtract the radius minus function?

Homework Statement Using cylindrical shells, find the volume obtained by rotating the region bounded by the given curves about the x-axis. x= (y^2) +1 x= 0 y=1 y=2 Homework Equations 2∏ ∫ rh The Attempt at a Solution 2∏ ∫ from 1 to 2 (y^2) + 1 I'm not sure...

Homework Statement Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves y = 4+3x-x^2 and y+x=4 about the y-axis. Below is a graph of the bounded region. Homework Equations V = ∫ a to b 2 pi x f(x) The Attempt at a Solution...

Thanks. :D

Actually, I don't know the formula for finding a derivative at a point.

Homework Statement A ball is thrown into the air a velocity of 49 ft/s. Its height in feet after t seconds is given by y=49t-10t^2. A. Find the average velocity for the time period beginning when t=3 and lasting 0.01 s: 0.005 s: B. Estimate the instantaneous velocity when t=3.Homework...

Thanks for the tip. I got the answers. :D

I got for 3/(8π) ---> 0.119 sin(16π/6) ---> 0.866 cos(16π/6) ---> -0.5 4sin(0) - 4cos(0) ---> 0 - 4

Homework Statement Find the average value of : f(x) = 4sinx + 4cosx on the interval [0, 16pi/6] Average value: ? Homework Equations Integrals The Attempt at a Solution 1/ [(16pi/6) -0] ∫ from 0 to 16pi/6 4sinx + 4cosx dx [3/8pi] ∫ from 0 to 16pi/6 4sinx + 4cosx dx <------simplify...