A city along the edge of a river is semi-circular shaped with radius 16miles. In each case below, determine the shape of the strip that would be appropriate for the given population density. Then write a definite integral to represent the total population in the city.

(a) The population density isp(x) =20x+ 500people per square mile wherexis the distance in miles from the center of the city.

http://www.webassign.net/userimages/centercity.JPG?db=v4net&id=276234

(b) The population density isp(x) =175people per square mile wherexis the vertical distance in miles from the river.

http://www.webassign.net/userimages/rivercity.JPG?db=v4net&id=276232