NAME Show all of your work. ● Use cylindrical coordinate to find the volume of the solid that is enclosed by the cone z = V and the sphere z2 +y+22 16. 2. Do the same problem as above using spherical coordinate

5. Evaluate the integral e-+) dy dx using polar coordinates Jo Jo 6. Find the volume of the solid in the first octant bounded by the graphs of z-1-y, y = 2x, and x = 3. 7. Let S be the solid in the first octant bounded by the cylinder x2 + y2 = 4 and z = 4. Use cylindrical coordinates to calculate the mass if the density at a point is proportional to the distance from the yz-plane (ρ = kx). -8. Evaluate the integral dV using spherical coordinates if Q is the sphere x2 + y2 + z2-25. $ 9. Find the surface area of that portion of the sphere x2 +y xy-plane and within the cylinder x2 + y2 1. z2 4 that is above the