Transcribed Image Text: 3. Consider the region R bounded by y = 0, x = and by the curve tan x = y³ , as

Transcribed Image Text: 3. Consider the region R bounded by y = 0, x = and
by the curve tan x = y³ , as shown. Suppose we
rotate this region about the y-axis to make a solid
and want to find the volume.
R
(a) Set up an integral to find the volume using washers. Do not solve.
(b) Set up an integral to find the volume using shells. Do not solve.
(c) Region Ris the base of a solid. For the solid, at eachy the cross section
perpendicular to the y-axis has area A(v) = Find the volume of the solid.
3y+1

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