Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y=3x+4 and the parabola y=x^2 revolved about the line x = 4.
Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y=3x+4 and the parabola y=x^2 revolved about the line x = 4.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the shell method to find the volume of the solid generated by revolving the region bounded by the line
y=3x+4
and the parabola
y=x^2
revolved about the line x = 4.
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Thanks for the good setup. However, after evaluating the integral that you set up, the answer is actually 625pi/6. (7/3 should be negative; 4 should be negative; and 16 should be positive (when evaluating at -1). Thanks again - I couldn't have done it without you!
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