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2. Let R be the region bounded by y=0, x=4. and y=x. Let S be the solid created by revolving R about the line

2. Let R be the region bounded by y=0, x=4. and y=x. Let S be the solid created by revolving R about the line x = 7. a) Sketch the region R here. b) Set up the integral for the volume of the solid, S. Explain what method you are using. (Do not evaluate that integral, here). c) Now evaluate the integral in part b to find that volume. (Continue showing your work on the back of this page).

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Given y 0 x 4 y about the line x 7 Now We draw the region R 4 yesqrtx x7 ... blur-text-image

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