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  3. volumes of revolution a.) sketch the region in the

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

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Advance Math

volumes of revolution
a.) Sketch the region in the first and fourth quadrants bounded bythe 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 theregion described in part (a) about the line x=-2.
c.) set up, but do not evaluate, the integral which computesthe volume of the solid generated by revolving the region describedin part (a) about the line y=-2.
d.) set up, but do not evaluate, the integral which computesthe volume of the solid having the base described in part (a),whose cross sections perpendicular to the x-axis are semicircles.

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