لحمامم - I = √√√9-x²-y² z=-√5x²+5y² 7xdzdydx Re-write the above integral in cylindrical coordinates and state the appropriate limits of integration for r and assuming an integration order of z first, r second, and last.

A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.

V4-x² (3) Rewrite the integral y dz dy dx in spherical coordi- 4-x²-y² nates. Do NỘT evaluate the integral.

Evaluate the integrals