Find the exact area of the region bounded by the given curves. Show a detailed sketch with the appropriate region shaded. Find your intersection points algebraically by setting the equations equal to one another. I strongly recommend setting the integral up in terms of y. 1 x==y²-4 x = 2y + 2

Find the exact area of the region bounded by the given curves. Show a detailed sketch with the appropriate region shaded. Find your intersection points algebraically by setting the equations equal to one another. I strongly recommend setting the integral up in terms of y. 1 x==y²-4 x = 2y + 2

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 44E

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Question

Find the exact area of the region bounded by the given curves. Show a detailed sketch with the
appropriate region shaded. Find your intersection points algebraically by setting the equations equal to
one another. I strongly recommend setting the integral up in terms of y.
1
x==y²-4
2
x = 2y + 2

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Step 1: Define the problem.

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Step 2: Draw the region bounded by the curves.

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Step 3: Find the points of intersection.

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Step 4: Find the area of the region.

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