Consider the figure. It is bounded by three curves x=4, y=1 and y-sqrt(x)=1. A)

Question

Consider the figure. It is bounded by three curves x=4, y=1 and y-sqrt(x)=1. A) Let S1 be the solid generated by revolving the region R about the x-axis. Think of it as a type 1 region. 1) Find a completely simplified formula from the cross-sectional area A(x) of the face of a typical washer. 2) Find the completely simplified exact volume of S1 by calculating an appropriate integral. Show explicit ant derivative. B) Let S2 be the solid generated by revolving R about the y-axis. Think as a Type 2 region. 1) Find a completely simplified formula from the cross-sectional area A(y) of the face of a typical washer. 2) Find the completely simplified exact volume of S2 by calculating an appropriate integral. C) Let S3 be the solid generated by revolving R about the horizontal line y=4. Think of it as a Type 1 1) Find a completely simplified formula from the cross-sectional area A(x) of the face of a typical washer. 2) Find the completely simplified exact volume of S3 by calculating an appropriate integral.

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Where is the figure?

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