Equal volumes Consider the region R bounded by the curves
Chapter 6, Problem 63(choose chapter or problem)
Equal volumes Consider the region R bounded by the curves y = ax2 + 1, y = 0, x = 0, and x = 1, for a -1. Let S1 and S2 be solids generated when R is revolved about the x- and y-axes, respectively. a. Find V1 and V2, the volumes of S1 and S2, as functions of a. b. What are the values of a -1 for which V11a2 = V21a2?
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