Question
Asked Dec 1, 2019
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Find the area between the following curves.
= -3, x 2, y ex, and y = 5 - ex
Area
(Type an exact answer in terms of e.)
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Find the area between the following curves. = -3, x 2, y ex, and y = 5 - ex Area (Type an exact answer in terms of e.)

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Expert Answer

Step 1

To find the area bounded by the following curves.

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y 5-e, ye x -3, x 2

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Step 2

The graph of given curves is shown below. The bounded regions intersect at one point.

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7+ 6+ y=5-e* 5+ x-2 3+ 1 2 2+ -1+ -2 -3+

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Step 3

Find the intersect point by eq...

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y 5e y e Equating the above curves, it gives 5-e e e = 2.5 x =In (2.5) Substituting it in y e and solve for y In (2.5) y e y 2.5 Thus, the intersection point is (In (2.5),2.5)

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Tagged in

Math

Calculus