II. Let G₂ be the solid above the xy-plane that is inside the sphere x² + y² + z² = 16 but outside the cylinder x² + y² = 12. Evaluate the triple integral using spherical coordinates. JSS ² G₂ z dV

Con vert this Entegral From rectanqular Coordinate to Spherical Coordina tes -(Donot eval vate the Euntes rae) 3 dz dk dy. -3 Set up the following triple, but do not Calculate it; a solid bounded by x - ydand the plane 2=0 and X +2=3.

Use spherical coordinates to evaluate the triple integral SSSE x2 + y2 + z2 dV, Where E is the ball: x2 + y2 + z2 < 64. The s' are meant to be the integral symbol.

help 15.8 #7

By changing to polar coordinates, evaluate the integral where D is the disk x² + y² ≤ 36. Answer = (x² + y²)5/² drdy

Evaluate $ si sin zdz + z cos ydy+sin ydz where C is the upper half (in the positive y half-plane) of the ellipse 4x² +9y² = 36.

14. Convert the integral to spherical coordinates and evaluate the integral. V49 - x? V49 – x2 - y? 7 x² + y 2 + z dzdydx