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What is the area enclosed between the two curves?

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Please see the attached file for three problems on area enclosed between curves.

Question 13:
Give the area of the region bounded by the graphs of

G(x) = x^2 - 8
F(x) = 2x

and the vertical line x = -3.

Question 14:
Give the area of the region bounded by the graphs of

H(x) = x^2 - 10
Q(x) = 3x

and the vertical lines x = -3 and x = 6.

Question 15:
Give the area of the region bounded by the graphs of
R(x) = -x^2 + 2 and
G(x) = -x

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Solution Summary

This solution shows how to integrate, graph the curves and determine the enclosed region shown.

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Question 13
Give the area of the region bounded by the graphs of

and the vertical line x = -3.
a)
b)
c)
d)
e)
f) None of the above.

The curves intersect at x = -2 and x = 4
Total ...

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