Question
Asked Dec 4, 2019
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4. Use Green's Theorem of the Plane to evaluate the following closed path integral.
xy2 dx+ 2x2y dy
С
where C is the triangle with vertices (0,0), (2, 2), (2, 4). Zyy dy
P.xy
ху
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4. Use Green's Theorem of the Plane to evaluate the following closed path integral. xy2 dx+ 2x2y dy С where C is the triangle with vertices (0,0), (2, 2), (2, 4). Zyy dy P.xy ху

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Expert Answer

Step 1

According to green’s theorem closed path integral over the curve C is calculated by,

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до ОР aх ду Pdx+ Qdy =

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Step 2

Identify P and Q from the given integral.

Hence, find the partial derivatives.

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P xy2 Q2x2y OP = 2xy cQ2(2x)y - 4xy

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Step 3

Apply green’...

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до др dA xy dx+2x'ydy= [[(4xy -2:xy )d4 2xyd4

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