Problem 7. A very basic model for the growth of a population is given by a functionof the formf(t)=Pertwhere Pis a positive constant, ris a constant, and tis a variable which we think ofastime, usually restricted tot0t+f(t) when r>0? What about ifr<0.(c)f'(t) gives the grown rate of the population at time t. What happens to the growthrate ifwe double the constant r? Triple it?