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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. (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)

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. (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)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 7E
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3. Let R be the region below bounded by the parabola y = 4 – x² and the lines 3x – 2y +3 = 0 and y = 0. %3D (0, 4) (a) Set up a (sum of) definite integral(s) with respect to x that is equal to the area of R. (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. %3D (0, 4) (a) Set up a (sum of) definite integral(s) with respect to x that is equal to the area of R. (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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