Solution Found!
Stokes' Theorem for evaluating line integrals
Chapter 13, Problem 14E(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.
\(\mathbf{F}=\left\langle x^{2}-y^{2}, z^{2}-x^{2}, y^{2}-z^{2}\right\rangle\); C is the boundary of the square \(|x| \leq 1,|y| \leq 1\)
Text Transcription:
Oint_c F cdot dr
F = langle langle x^2 - y^2, z^2 - x^2 - z^2 rangle
|x| leq 1, |y| leq 1
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.
\(\mathbf{F}=\left\langle x^{2}-y^{2}, z^{2}-x^{2}, y^{2}-z^{2}\right\rangle\); C is the boundary of the square \(|x| \leq 1,|y| \leq 1\)
Text Transcription:
Oint_c F cdot dr
F = langle langle x^2 - y^2, z^2 - x^2 - z^2 rangle
|x| leq 1, |y| leq 1
ANSWER:
Solution 14