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  3. throughout this problem consider r to be the regio

Throughout this problem consider R to be the region between the curves f x g...

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Calculus

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Throughout this problem consider R to be the region between the curves f x g x r in the first quadrant sliced horizontally see graph below Y y x Ay a and a Find the exact area between the two curves in R Show your steps and explain your reasoning You do not need to simplify your answer b Set up an integral for the volume of the solid obtained by rotating R around the x axis You do not need to evaluate the integral c Set up an integral for the volume of the solid obtained by rotating R around the line x 1 You do not need to evaluate the integral Notes In parts b and c your explanation should include i a rough sketch of the solid of revolution ii Label your solid and show the radius es iii Clearly state the method you are using and why and iv Clearly show and justify your steps for setting up your integral Your final integral should be clearly shown

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