Mathematics

Mathematics

Problem

The region bounded by y=3y=3 and y=1+x2y=1+x^{2} for 0≤x≤10\le x\le 1 is revolved about the xx-axis. For a representative xx in this interval, which function correctly represents the inner radius r(x)r(x) of the corresponding washer? a) r(x)=1+x2r(x)=\sqrt{1+x^{2}} b) r(x)=1+x2r(x)=1+x^{2} c) r(x)=2−x2r(x)=2-x^{2} d) r(x)=3r(x)=3

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