a) Suppose a population of rabbits increases at a rate of g (t) = 7et, in flies per day. If the initial population of rabbits is 10 , how many rabbits are in the population after 10 days? b) A spherical balloon is being inflated at a constant rate. If the volume of the balloon changes from 25nt in. cubed to 36it in. cubed between time t = 4 and t = 8 seconds, find the net change in the radius of the balloon during that time. c) Write an integral that expresses the increase in the perimeter P(s) of a square when its side length s increases from 2 units to 4 units and evaluate the integral. d) The area A(t) of a circular shape is growing at a linear rate. If the area increases from 2nt units to 4it units between times t = 2 and t = 3, find the net change in the radius during that time. J