volumes of revolution a.) Sketch the region in the first and fourth quadrants bounded by the...

volumes of revolution

a.) Sketch the region in the first and fourth quadrants bounded by the graphs of f(x)=x^4-4x^2 and g(x)=4-x^2, and find the area.

b.) find the volume of the solid generated by revolving the region described in part (a) about the line x=-2.

c.) set up, but do not evaluate, the integral which computes the volume of the solid generated by revolving the region described in part (a) about the line y=-2.

d.) set up, but do not evaluate, the integral which computes the volume of the solid having the base described in part (a), whose cross sections perpendicular to the x-axis are semi circles.

Expert Solution

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Colby Messinger answered 2 years ago

Sketch and find the area of the region bounded by the curves ?=?+? and ?=?2−?.

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