4. A wire in the ry-plane lies along the parabola y = 2 between the points (-1, 1) and (1, 1). The charge density (in /C/mm) along the wire is given by Y(z, y) = . Calcu- late the total charge along the wire. 5. A cloud of particles takes up the region in R3 bounded by the yz-plane and the surface 1 =9-y2 - 22. The density of particles (in particles per mm) in the region is given by f(x, y, z) = 22. Calculate the total number of particles. 6. Calculate the volume of the region in R3 bounded by y = 12, r + y = 2, z =0, and 2 = D. 7. Out of all points in the top half of the unit ball, what is the average distance from the origin? 8. Consider the region under the hemisphere z = \\4 -12 - y?, above the cone z = VI2 + y2, and with y 2 0. Calculate the volume of the region