_ Given _ v 2 Let 2 i k and w -k 3z3y2 find: 3k, find a vector perpendicular io the plane .f7(1, where u The population density of a circular city of diameter 10 miles varies linearly from 100 people per square mile at the center of the city to O people per square mile on the outer boundary. Set up an integral thai represents the total population of the city. Evaluate the integral. Make a sketch of the integration region and switch the limits of integration for the following double 2 _x3dady integral. Then evaluate the integral: