Let C be the triangular path from (0,0) to (8,0) to (0, 2) and then back to (0,0). Let F = (x² − 8x, x² + y²). We wish to use Green's Theorem to find the flux of F across C. The integral we obtain is 16 D where D is the interior of the triangle. This evaluates to dA

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Let C be the triangular path from (0, 0) to (8,0) to (0, 2) and then back to (0,0). Let
F = (x² − 8x, x² + y²).
We wish to use Green's Theorem to find the flux of F across C.
The integral we obtain is
SS
D
where D is the interior of the triangle.
This evaluates to
dA
Transcribed Image Text:Let C be the triangular path from (0, 0) to (8,0) to (0, 2) and then back to (0,0). Let F = (x² − 8x, x² + y²). We wish to use Green's Theorem to find the flux of F across C. The integral we obtain is SS D where D is the interior of the triangle. This evaluates to dA
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