Max-min The arch y=sin x, is revolved about the line to
Chapter 6, Problem 62E(choose chapter or problem)
Max-min The arch y=sin x, is revolved about the line to generate the solid in the accompanying figure.a. Find the value of c that minimizes the volume of the solid. What is the minimum volume?b. What value of c in [0, 1] maximizes the volume of the solid?c. Graph the solid’s volume as a function of c, first for 0 ? c ? 1 and then on a larger domain. What happens to thevolume of the solid as c moves away from [0, 1]? Does this make sense physically? Give reasons for your answers.
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