Answer Happy

Problem. 12: Convert the integral from rectangular coordinates to both cylindrical and spherical coordinates, and evaluate the simplest iterated integral. = 0 pi/2 pi/2 [[²*²** √² + 3² +2² da dy da dz 0 5 0 5 0 pi/2 625pi/8 0 sqrt(25-r^2) 0 5 rho^3sin(phi) Problem. 13: Convert the integral to spherical coordinates and evaluate it. ?dz dr de do do de

Problem. 8: Let E be the solid that lies between the spheres x² + y² + z² = 1 and x² + y² + z² = 100. Set up the integral using spherical coordinates. 2pi [[[ (2³² + ₁²) dv= f 0 pi 0 1 10 ? dp do do.