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(b) Set up a definite integral that is equal t length of the portion of the parabola y which serves as a boundary of R. (c) Use the WASHER METHOD to set up a definite integral(s) that is equal to the v the solid generated when R is revolved a line

(b) Set up a definite integral that is equal t length of the portion of the parabola y which serves as a boundary of R. (c) Use the WASHER METHOD to set up a definite integral(s) that is equal to the v the solid generated when R is revolved a line

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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3. SHOW YOUR COMPLETE/DETAILED/CORRECT SOLUTION.
3. Let R be the region below bounded by the parabola y = 4 -x² and the lines 3x - 2y +3 = 0 and y = 0. (0, 4) (a) Set up a (sum of) definite integral(s) with respect to x that is equal to the area of R. 1n --: (1,3) (b) Set up a definite integral that is equal to the arc length of the portion of the parabola y = 4 – x2 which serves as a boundary of R. R (c) Use the WASHER METHOD to set up a (sum of) definite integral(s) that is equal to the volume of the solid generated when R is revolved about the line x = 2. (-2,0) (-1,0)
Transcribed Image Text:3. Let R be the region below bounded by the parabola y = 4 -x² and the lines 3x - 2y +3 = 0 and y = 0. (0, 4) (a) Set up a (sum of) definite integral(s) with respect to x that is equal to the area of R. 1n --: (1,3) (b) Set up a definite integral that is equal to the arc length of the portion of the parabola y = 4 – x2 which serves as a boundary of R. R (c) Use the WASHER METHOD to set up a (sum of) definite integral(s) that is equal to the volume of the solid generated when R is revolved about the line x = 2. (-2,0) (-1,0)
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