Consider the region bounded by the curves. y=x² and y = 6-x a. Sketch an accurate graph of the region bounded by the curves. Label any points of intersection. b. Find the area between the curves by integrating with respect to x. c. Find the area between the curves by integrating with respect to y. d. Do you obtain the same answer? Is one method easier than the other?
Consider the region bounded by the curves. y=x² and y = 6-x a. Sketch an accurate graph of the region bounded by the curves. Label any points of intersection. b. Find the area between the curves by integrating with respect to x. c. Find the area between the curves by integrating with respect to y. d. Do you obtain the same answer? Is one method easier than the other?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Transcribed Image Text:Consider the region bounded by the curves.
y = x² and y = 6-x
a. Sketch an accurate graph of the region bounded by the curves. Label any points of intersection.
b. Find the area between the curves by integrating with respect to x.
c. Find the area between the curves by integrating with respect to y.
d. Do you obtain the same answer? Is one method easier than the other?
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