Please answer this question for me?

1. (15 points) A town is the shape of a rectangle, with vertices (0,0), (8,0), (8,4) and (0,4). The population density is modeled by the function f (x, y) = xyz. It has been decided to place the city hall so that it is centered relative to the population of the town, not necessarily geographically. Determine the \"population center\" of this town. (Assume the units are miles, and the density is \"hundreds of people per square mile\"). 2. (10 points) For the following integral, change the order of integration: f(x, y,z)dxdydz = f(x, y, z) dy dz dx3. (20 points) Let Wbe the region inside the hemisphere of radius 2, centered at the origin, with z 2 0, and outside the cylinder x2 + y2 = 1. The density at a point in Wis given by 2 \"wk? Set up (but do not compute) integrals to nd the mass of Wusing: (a) cylindrical coordinates. (b) spherical coordinates