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Let F(x, y, z) = (y² cos z, 2xy cos z, – xy² sin z) and C₁ : R(t) = (t², sint, t), t = [0, Evaluate F. dR by integrating F along a smooth curve whose initi and terminal points are the same as that of C₁.

Let F(x, y, z) = (y² cos z, 2xy cos z, – xy² sin z) and C₁ : R(t) = (t², sint, t), t = [0, Evaluate F. dR by integrating F along a smooth curve whose initi and terminal points are the same as that of C₁.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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do not use stokes' theorem

Let F(x, y, z) = (y² cos z, 2xy cos z, - xy² sin z) and C₁: R(t) = (t², sint, t), t = [0, π]. Evaluate Jo Ē. dR by integrating F along a smooth curve whose initial and terminal points are the same as that of C₁.
Transcribed Image Text:Let F(x, y, z) = (y² cos z, 2xy cos z, - xy² sin z) and C₁: R(t) = (t², sint, t), t = [0, π]. Evaluate Jo Ē. dR by integrating F along a smooth curve whose initial and terminal points are the same as that of C₁.
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