Recent content by Bellwether

Of course, thank you.

Homework Statement Find the volume of the solid created when the area between the function y=xe0.5x and the x-axis (for 0≤x≤2) is rotated about the line x=-2 Homework Equations Shell Method: Vs = ∫ 2∏r * f(x) The Attempt at a Solution r = x + 2 r * f(x) = x2e0.5x + 2xe0.5x Thus, 2∏∫...

I'm confused -- why is the outer radius just +2 , instead of 3? Isn't (x2 + 1) three units away from the axis of revolution?

Thanks for the welcome! So it's, ∫∏((x2+1)+3)2 - 22) ?

Homework Statement Find the volume of a solid created when the area between the function y=x^2+1 and the x-axis (for 0<x<2) is rotated about the line y=-2. Homework Equations Vs = ∏*r^2*h The Attempt at a Solution I can't seem to set this up correctly and am thrown by the inner radius...