I went ahead and sketched what I believe to be the answer but how would I find the area of the region? y  =  −x2 + 2x + 2 y  =  −x + 2 a) Sketch the region bounded by the graphs of the equations.    b) Find the area of the region.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 19E
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I went ahead and sketched what I believe to be the answer but how would I find the area of the region?

y  =  −x2 + 2x + 2
y  =  −x + 2
a) Sketch the region bounded by the graphs of the equations. 
 
b) Find the area of the region.
Expert Solution
Step 1

Given equations are

y=−x2 + 2x + 2

x=−x + 2

Step 2: (a)

The region bounded by the graphs of equation is 

Calculus homework question answer, step 2, image 1

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