Equal volumes Let R1 be the region bounded by the graph of

Chapter 7, Problem 91

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Equal volumes Let R1 be the region bounded by the graph of y = e-ax and the x-axis on the interval 30, b4 where a 7 0 and b 7 0. Let R2 be the region bounded by the graph of y = e-ax and the x-axis on the interval 3b, _2. Let V1 and V2 be the volumes of the solids generated when R1 and R2 are revolved about the x-axis. Find and graph the relationship between a and b for which V1 = V2.

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