Let F be the vector field zi+xyj. Let C be the curve made up of two segments: ri(t) = (t, -2) r₂(t) = (-1,2 - 1²) te [-2,2] te [-2,2] ) Use an integral to find the circulation of the vector field F around C. Use an integral to find the flux of the vector field F across C.

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Let F be the vector field xi+ xyj.
Let C be the curve made up of two segments:
r₁(t) = (t, -2)
r₂(t) = (-t, 2-t²)
te [-2, 2]
te [-2, 2]
) Use an integral to find the circulation of the vector field F around C.
Use an integral to find the flux of the vector field F across C.
Transcribed Image Text:Let F be the vector field xi+ xyj. Let C be the curve made up of two segments: r₁(t) = (t, -2) r₂(t) = (-t, 2-t²) te [-2, 2] te [-2, 2] ) Use an integral to find the circulation of the vector field F around C. Use an integral to find the flux of the vector field F across C.
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