Mathematics

Mathematics

Problem

Consider the region in the plane bounded by y=sin⁡xy=\sin x, y=0y=0, and x=πx=\pi. Another curve, y=cos⁡xy=\cos x, lies above the region throughout this interval. When the bounded region is revolved about the xx-axis, which function—y=sin⁡xy=\sin x or y=0y=0—determines the outer radius of each washer, and why? Provide a brief justification.

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