5. Let C be the curve made up of two segments with the parameterizations r₁(t) = (t, -2) te [−2, 2] r₂(t) = (–t, 2 — t²) te [-2,2] and let F = xi+xyj. Use Green's theorem to calculate the outward flux of F across C.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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5. Let C be the curve made up of two segments with the parameterizations
r₁(t) = (t, -2)
te [-2,2]
r₂(t) = (–t, 2 — t²)
te [-2, 2]
and let F = xi+xyj. Use Green's theorem to calculate the outward flux of F across C.
Transcribed Image Text:5. Let C be the curve made up of two segments with the parameterizations r₁(t) = (t, -2) te [-2,2] r₂(t) = (–t, 2 — t²) te [-2, 2] and let F = xi+xyj. Use Green's theorem to calculate the outward flux of F across C.
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