If you could answer these i would appreciate that thank you!

MATH 3C - SECTION 4.5 HOMEWORK Laney College, Spring 2023 Fred Bourgoin 1. Integrate f(x, y, z) = sin(x2 + y?) in cylindrical coordinates over the region W, where W is the solid cylinder with height 4 and with base of radius 1 centered on the z-axis at z = -1. 2. Integrate f(x, y, z) = 1/ vx2 + + 2 in spherical coordinates over the bottom half of the sphere of radius 5 centered at the origin. 3. Write a triple integral in cylindrical coordinates giving the volume of a sphere of radius K centered at the origin. Use the order dz dr de. 4. Write a triple integral in spherical coordinates giving the volume of a sphere of radius K centered at the origin. Use the order do dodd. 5. Let W be a cone topped by a sphere of radius 1 centered at the origin with angle 90 at the vertex. Write limits of integration for Ju dV in the following coordinates: (a) Cartesian (b) Cylindrical (c) Spherical