(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
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb2cd596-c79f-49d7-ba41-f1e477389469%2F4f17f229-b8ff-4ba8-a76a-9fbffb4f428b%2Ff3papwi_processed.jpeg&w=3840&q=75)
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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