5. [5/6 Points] 14 PREVIOUS ANSWERS A city along the edge of a river is semi-circular shaped with radius 14 miles. In each case below, determine the shape of the strip that would be appropriate for the given population density. Then write a denite integral to represent the total population in the city. : center 14 \\/ (20x+ 500)(7rx) dx (a) The population density is p(x) = 20)( + 500 people per square mile where x is the distance in miles from the center of the city. dx (b) The population density is p(x) = 300(15 x) people per square mile where x is the vertical distance in miles from the river. MY NOTES