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Question: question14 consider the volume of the solid of revolution generated...

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Question.14. Consider the volume of the solid of revolution generated by rotating the region bounded by the euves+4 and y -2 about the y-axis a. Sketch the region, inelding the coordinates of the important points on the boundary. b. The volume is to be caleulated using the method of cylindrical shels. Draw atypical cylindrical shell and determine its volume Δ V-2:rx shell radius x shell heightx shell thicknes c. Express the total volume as a definite integral with the correct terminals. d. Evaluate the definite integral in part (c) to determine the volume of the solid of revolution.
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