Question
Asked Nov 27, 2019
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Find the area of the region bounded by the graphs of the equations.

y = −x2 + 2x,    y = 0

 

 

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Expert Answer

Step 1

Given:

у3-х* +2х, у%3D0
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у3-х* +2х, у%3D0

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Step 2

Two curves intercepts when:

+2x = 0
x(x-2)0
x 0 2
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+2x = 0 x(x-2)0 x 0 2

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Step 3

So, the area is ...

4(x)=(-x+2x)dc
-d+ 2xdc
A
+2
1+1
2 1
+2
3
2
23
22
02
+4
3
-8+12
3
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4(x)=(-x+2x)dc -d+ 2xdc A +2 1+1 2 1 +2 3 2 23 22 02 +4 3 -8+12 3

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Calculus

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