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Stokes' Theorem for evaluating line integrals
Chapter 13, Problem 13E(choose chapter or problem)
Stokes' Theorem for evaluating line integrals Evaluate the line integral ac \(\oint_{C} \mathbf{F} \cdot d \mathbf{r}\) by evaluating the surface integral in Stokes ' Theorem with an appropriate choice of S. Assume that C has a counterclockwise orientation.
\(\mathbf{F}=\left\langle x^{2}-z^{2}, y, 2 x z\right\rangle\); C is the boundary of the plane z = 4 - x - y in the first octant.
Text Transcription:
Oint_c F cdot dr
F = langle x^2 - z^2, y, 2xz rangle
Questions & Answers
QUESTION:
Stokes' Theorem for evaluating line integrals Evaluate the line integral ac \(\oint_{C} \mathbf{F} \cdot d \mathbf{r}\) by evaluating the surface integral in Stokes ' Theorem with an appropriate choice of S. Assume that C has a counterclockwise orientation.
\(\mathbf{F}=\left\langle x^{2}-z^{2}, y, 2 x z\right\rangle\); C is the boundary of the plane z = 4 - x - y in the first octant.
Text Transcription:
Oint_c F cdot dr
F = langle x^2 - z^2, y, 2xz rangle
ANSWER:Solution 13E
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