The surface area A of a balloon with radius r is given by 4(r) = 4r 2

The surface area A of a balloon with radius r is given by 4(r) = 4πr². Suppose that the radius of the balloon increases from r to r + h, where his a small positive number. 

(a) Find A(r + h) A(r). Interpret your answer. 

(b) Evaluate your expression in part (a) for r = 3 and h = 0.1, and then for r = 6 and h = 0.1. 

(c) If the radius of the balloon increases by 0.1, does the surface area always increase by a fixed amount or does the amount depend on the value of r?