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VLD [36.1K]
2 years ago
12

Find the area bounded by the curves x = y2 - 4y and x = 2y - y2. Your work must include an integral in one variable.

Mathematics
1 answer:
kaheart [24]2 years ago
4 0
<span>The curves x = y^2 - 4y and x = 2y - y^2 are two parabolas with vertices (-4,2) and (1,1), respectively.
</span>
The solutions (0,0) and (-3,3) of system \left \{ {{x = y^2 - 4y } \atop {x = 2y - y^2 }} \right. give the common points of these parabolas.
The area is calculated in the image.
<span />

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see the attached figure to better understand the problem

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