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Graphs of the functions and compute the area of this region

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Sketch the region between the graphs of the functions and compute the area of this region:

y = 9 - x^2, y = x^2 - 4

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Solution Summary

A Complete, Neat and Step-by-step Solution is provided. The region between the graphs is shown shaded in the attached file.

Solution Preview

First we find the points of intersection of the two curves.

9 - x^2 = x^2 - 4

2x^2 = 13

x = sqrt(13/2) = ...

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