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) (1,3) 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)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3.c

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)
(1,3)
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: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) (1,3) 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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