5. Find the volume of the solid formed when the area in the first quadrant bounded by the graph of y = V3x-x on (1,2) is revolved about the x-axis. Include all appropriate sketches of the solid and its cross-sections along with an explanation of how you set up your integral.

5. Find the volume of the solid formed when the area in the first quadrant bounded by the graph of y = V3x-x on (1,2) is revolved about the x-axis. Include all appropriate sketches of the solid and its cross-sections along with an explanation of how you set up your integral.

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 17E

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Question

5. Find the volume of the solid formed when the area in the first quadrant bounded by the graph of y =
V3x-x
on [1,2) is revolved about the x-axis. Include all appropriate sketches of the solid and its cross-sections
along with an explanation of how you set up your integral.

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