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Evaluate the following path integrals [ f(x, y, z) ds, under the following conditions. (Note that exp(u) = e.) (a) f(x, y, z)= exp(√2), and c: t+ (9, 3, 2), te [0, 1] (b) f(x, y, z)= yz, and c: t (t, 2t, 3t), te [1, 3]

Evaluate the following path integrals [ f(x, y, z) ds, under the following conditions. (Note that exp(u) = e.) (a) f(x, y, z)= exp(√2), and c: t+ (9, 3, 2), te [0, 1] (b) f(x, y, z)= yz, and c: t (t, 2t, 3t), te [1, 3]

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.4: Related Rates
Problem 9E: Assume xand yare functions of t.Evaluate dy/dtfor each of the following. cos(xy)+2x+y2=2; dxdt=2,...
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Evaluate the following path integrals [ f(x, y, z) ds, under the following conditions. (Note that exp(u) = e.) (a) f(x, y, z)= exp(√2), and c: t+ (9, 3, 2), te [0, 1] (b) f(x, y, z)= yz, and c: t (t, 2t, 3t), t€ [1, 3]
Transcribed Image Text:Evaluate the following path integrals [ f(x, y, z) ds, under the following conditions. (Note that exp(u) = e.) (a) f(x, y, z)= exp(√2), and c: t+ (9, 3, 2), te [0, 1] (b) f(x, y, z)= yz, and c: t (t, 2t, 3t), t€ [1, 3]
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