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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 [0, b] where a > 0 and b > 0. Let R2 be the region bounded by the graph of y = e−ax and the x-axis on the interval [b, ∞). 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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Calculus: Early Transcendentals (3rd Edition)
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