The size, S, of a tumor (in cubic millimeters) is given by S = 2t, where t is the number of months since the tumor was discovered. Give units with your answers.
(a) What is the total change in the size of the tumor during the first six months?
(b) What is the average rate of change in the size of the tumor during the first six months?
(c) Estimate the rate at which the tumor is growing at t = 6. (Use smaller and smaller intervals.)