One method of slowing the growth of an insect population without using pesticides is to introduce into the population a number of sterile males that mate with fertile females but produce no offspring. It? represents the number of female insect in a population, 3 the number of sterile males introduced each generation. and r the population's natural growth rate, then the female population is related to the time t by P + S = dp ' P[(r1)PS] Suppose an insect population with 10, 000 females grows at a rate of r = 0.10 and 900 sterile males are added. Evaluate the integrals to give an equation relating the female population to time. (Note that the resulting equation can't be solved explicitly for P.)