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Today at 10:34 AM
Mathematics

Answered

Use Green's Theorem to evaluate the line integral along the given positively oriented curve. C yex dx 2ex dy, C is the rectangle with vertices (0, 0), (3, 0), (3, 2), and (0, 2)

Answer :

batolisis batolisis

Today at 10:39 AM

Answer:

2 ( e^3 + 1 )

Step-by-step explanation:

The path of the attached Rectangle is anti-clockwise

and the Integrand: P( x, y ) dx + q ( x , y ) dy

P( x, y ) = ye^x

q ( x , y ) = 2ex

hence : dq/dx - dp/dy = 2e^x - e^x = e^x

attached below is the remaining solution

using Green's theorem

${teks-lihat-gambar} batolisis

${teks-lihat-gambar} batolisis

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