MATH 265 Final: MATH 265 Iowa State ch13 Finals

• School: Iowa State University
• Department: Mathematics
• Course: MATH 265
• Professor: All

Document Summary

Zzs xy da, where s is the region in the rst quadrant inside x2 + y2 = 9 and outside x2 + y2 = 4: find. 6x cos (cid:0)(x2 + y)3(cid:1) dy dx by making the substitutions u = x2 + y and v = x. Spring 2012 - alternate: rewrite the iterated integral. Set up integrals for the mass of the lamina, and its moments with respect to the x-axis and y-axis. (it is not required to evaluate any of these integrals. ) Symmetry guarantees that one of the moments is zero. Fall 2010: let r be the region in the rst quadrant bounded by the coordinate axes and the ellipse 4x2 + y2 = 4. 0 6 x2 + y2 6 4 and 0 6 z 6 3 + p4 x2 y2. (this solid is a cylinder of radius 2 and height 3 topped off with a hemisphere. )