1. Let F be the vector field F(x, y, z) = yzi + xzj + xyk and C the ellipse given by r(t) = 5 cos t i+ (3+ 2 sin t) j. Evaluate F. dr (show/explain all steps).

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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1. Let F be the vector field F(x, y, z) = yzi+ xzj + xyk and C the ellipse given by
r(t) = 5 cos ti+ (3+2 sin t) j. Evaluate :
F· dr (show/explain all steps).
Transcribed Image Text:1. Let F be the vector field F(x, y, z) = yzi+ xzj + xyk and C the ellipse given by r(t) = 5 cos ti+ (3+2 sin t) j. Evaluate : F· dr (show/explain all steps).
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