A spherical balloon is being inflated at a constant rate, such that the volume of the balloon changes from 36n in³ to 972n in³ between time t = 30 and t = 90 seconds. dr a) If you had an expression...

Extracted text: A spherical balloon is being inflated at a constant rate, such that the volume of the balloon changes from 36n in³ to 972n in³ between time t = 30 and t = 90 seconds. dr a) If you had an expression for dt' the rate of change of the radius with respect to time, how would calculate the net change in the radius during that interval? (Hint: consult the Net Change you Theorem.) b) Alas, you do not have such expression! Still, you can find the net change in the radius of the balloon during that time. Hint: what does “net change" mean? Find its value.