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Answer: Stokes' Theorem for evaluating line integrals
Chapter 13, Problem 11E(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.
\(\mathbf{F}=\langle 2 y,-z, x\rangle\); C is the circle \(x^{2}+y^{2}=12\) in the plane z = 0.
Text Transcription:
Oint_c F cdot dr
F = langle zy, - z,x rangle
x^2 + y^2 = 12
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.
\(\mathbf{F}=\langle 2 y,-z, x\rangle\); C is the circle \(x^{2}+y^{2}=12\) in the plane z = 0.
Text Transcription:
Oint_c F cdot dr
F = langle zy, - z,x rangle
x^2 + y^2 = 12
ANSWER:Solution 11E