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The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is revolved about y+1=0. What is the appropriate integral to be used to find the volume of the solid generated?

The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is revolved about y+1=0. What is the appropriate integral to be used to find the volume of the solid generated?

Advanced Engineering Mathematics
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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Question
The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is revolved about >+1=0. What is the appropriate integral to be used to find the volume of the solid generated? (x° +82- (x6+82-18x3/2) dx (75 (79-18x3/2+x6) dx (18x3/2-x (18x3/2x680) dr (80- (80+x6+ 18x3/2) dx 0
Transcribed Image Text:The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is revolved about >+1=0. What is the appropriate integral to be used to find the volume of the solid generated? (x° +82- (x6+82-18x3/2) dx (75 (79-18x3/2+x6) dx (18x3/2-x (18x3/2x680) dr (80- (80+x6+ 18x3/2) dx 0
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