let R be the region between the curves defined by the functions y = x2 and y = 6−x on the interval [−3, 2]. A graph of these two functions and the x- and y-axes is shown above.  Use definite integrals to find areas between curves   Find the area of R.  Draw a typical approximating rectangle and label its height and width. Find the x-coordinates of the points of intersection of the two curves that enclose the region R.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Question

 let R be the region between the curves defined by the functions y = x2
and y = 6−x on the interval [−3, 2]. A graph of these two functions and the x- and y-axes is shown
above.


 Use definite integrals to find areas between curves 

 Find the area of R.
 Draw a typical approximating rectangle and label its height and width.
Find the x-coordinates of the points of intersection of the two curves that enclose the region R.

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