5. Let R be the region in the first quadrant bounded by the y-axis and the graphs of y = 3x and y = 4-x². (a) Find the volume of the solid generated when R is rotated about the y-axis. (b) Find the volume of the solid generated when R is rotated about the line x = 1.

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 1YT: YOUR TURN Find the volume of the solid of revolution formed by rotating about the x-axis the region...
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Solve a and b as they are all one question

5. Let R be the region in the first quadrant bounded by the y-axis and the graphs of y = 3x and y =
4-x².
(a) Find the volume of the solid generated when R is rotated about the y-axis.
(b) Find the volume of the solid generated when R is rotated about the line x = 1.
Transcribed Image Text:5. Let R be the region in the first quadrant bounded by the y-axis and the graphs of y = 3x and y = 4-x². (a) Find the volume of the solid generated when R is rotated about the y-axis. (b) Find the volume of the solid generated when R is rotated about the line x = 1.
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