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3. Let R be the region below bounded by the parabola y = 4 - 2² and the lines 3x - 2y +3=0 and y = 0. (0,4) (a) Set up a (sum of) definite integral(s) with respect to a that is equal to the area of R. (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. (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) R (-1,0) (1,3) 2

3. Let R be the region below bounded by the parabola y = 4 - 2² and the lines 3x - 2y +3=0 and y = 0. (0,4) (a) Set up a (sum of) definite integral(s) with respect to a that is equal to the area of R. (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. (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) R (-1,0) (1,3) 2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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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. R (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. (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) (1,3)
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. R (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. (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) (1,3)
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