9. Let F = (2xy, x² + e³², 3ye³z). A. Calculate Curl(F) B. If F = (2xy, x² + e³2, 3ye ³2) is a conservative vector field, then, find its potential function. C. Use calculus to calculate f. dr for F = (2xy, x² + e³2, 3ye³z) on C: the line segment from the origin to point (1, 1, 0), then, along a circular arc from point (1, 1, 0) to the point (2, 3, 1).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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9. Let F= (2xy, x² + e³z, 3ye³z).
A. Calculate Curl(F)
B. If F = (2xy, x² + e³z, 3ye³2) is a conservative vector field, then, find its potential
function.
C. Use calculus to calculate f. dr for F = (2xy, x² + e³², 3ye ³²) on C: the line
segment from the origin to point (1, 1, 0), then, along a circular arc from point (1, 1, 0)
to the point (2, 3, 1).
Transcribed Image Text:9. Let F= (2xy, x² + e³z, 3ye³z). A. Calculate Curl(F) B. If F = (2xy, x² + e³z, 3ye³2) is a conservative vector field, then, find its potential function. C. Use calculus to calculate f. dr for F = (2xy, x² + e³², 3ye ³²) on C: the line segment from the origin to point (1, 1, 0), then, along a circular arc from point (1, 1, 0) to the point (2, 3, 1).
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