1. Consider the solid S generated by revolving the region bounded by x=y-y² in the first quadrant about the line z = 2. a) Sketch the graph of the region, along with the axis of revolution and a represen- tative infinitesimal slice. 3 2 1 2 b) Set up, but do not solve, the integral defining the volume V of the solid S. c) Find the volume V.

1. Consider the solid S generated by revolving the region bounded by x=y-y² in the first quadrant about the line z = 2. a) Sketch the graph of the region, along with the axis of revolution and a represen- tative infinitesimal slice. 3 2 1 2 b) Set up, but do not solve, the integral defining the volume V of the solid S. c) Find the volume V.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 19E

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