A state legislature decides to create a new district from the region shown in the accompanying figure. It is found that the population density function for the region is p(x, y) = ye^−0.2x thousand people per square mile.

a. If c = 9, what is the total population in the region?

b. The committee responsible for redistricting decides there must be at least 800,000 people in the new district. What is the smallest value of c that achieves this goal?

Transcribed Image Text:

y (mi) y=c 0 Lake y = √x x (mi)