Scaling surface area Let f be a nonnegative function with
Chapter 6, Problem 37(choose chapter or problem)
Scaling surface area Let f be a nonnegative function with a continuous first derivative on 3a, b4 and suppose that g1x2 = c f 1x2 and h1x2 = f 1cx2, where c 7 0. When the curve y = f 1x2 on 3a, b4 is revolved about the x-axis, the area of the resulting surface is A. Evaluate the following integrals in terms of A and c. a. L b a 2pg1x22c2 + g_1x22 dx b. L b>c a>c 2ph1x22c2 + h_1x22 dx
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