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PART B (58 marks) In this part you are required to provide full solutions and to show all your work. A correct answer obtained with

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PART B (58 marks) In this part you are required to provide full solutions and to show all your work. A correct answer obtained with false reasoning or with no reasoning will not receive any marks. 1. Let R be the region, in the rst quadrant, bounded by the curves 3: :0 , y : e and yzas-e$3 (see diagram). Find the volume of the solid obtained by rotating R about the xaxis. {12 marks)

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