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 (-2,0) (-1,0) (1,3)

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.a

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
(-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 (-2,0) (-1,0) (1,3)
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