Quiz 9 Integration in Three Variables and Polar Coordinates
Problem 1. Set up the integral of f(x,y,z) over the solid whose upper
boundary is the surface with equation z= 25-x2-y2,
and whose lower boundary is the surface with equation z=-25+x2+y2.
Problem 2) Convert the integral to polar
coordinates and evaluate:
Problem 3) The density of a half annulus
with small radius r=3 and large radius R=5 (drawn below) is given by 7-r.
Find the mass of the annulus.
Created: October 9, 1997.