Chapter 8, Problem 121RE

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.