Let F(x,y)= << 4 cos(y),2 sin(y)>>. Compute the flux oint F * nds of F across the boundary of the rectangle 0 <= x <= 5,0 <= y <= pi/2 using the vector form of Green's Theorem. oint F*nds=?

vazelinahS 2021-02-25 Answered
Let F(x,y)=4cos(y),2sin(y). Compute the flux Fnds of F across the boundary of the rectangle 0x5,0yπ2 using the vector form of Greens
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Expert Answer

Margot Mill
Answered 2021-02-26 Author has 106 answers

Step 1
By using Green Theorem,
F.nds=xy(QxPy)dxdy
=x=05y=0π2((2siny)x(2siny)y)dxdy
=x=05y=0π2(02cosy)dxdy
=100π2cosydy
=10(siny)0π2
=10(10)
=10
Step 2
CONCLUSION:
The correct answer for the flux integral is -10.

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