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Let S be the solid obtained by rotating the region shown in the figure about the y -axis. (Assume a =3and b =1.)Sketch a typical

LetSbe the solid obtained by rotating the region shown in the figure about they-axis. (Assumea=3andb=1.)Sketch a typical approximating shell.

What are its circumferencecand heighth?

c(x) =

h(x) =

Use shells to find the volumeVofS.

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