Solution Found!
Verifying Stokes' Theorem Verify that the line
Chapter 13, Problem 9E(choose chapter or problem)
Verifying Stokes’ Theorem Verify that the line integral and the surface integral of Stokes' Theorem are equal for the following vector fields, surfaces S, and closed curves C. Assume that C has counterclockwise orientation and S has a consistent orientation.
\(\mathbf{F}=\langle y-z, z-x, x-y\rangle\); S is the cap of the sphere \(x^{2}+y^{2}+z^{2}=16\) above the plane \(z=\sqrt{7}\) and C is the boundary of S.
Text Transcription:
F = langle y - z, z- x, x - y rangle
z = sqrt&
Questions & Answers
QUESTION:
Verifying Stokes’ Theorem Verify that the line integral and the surface integral of Stokes' Theorem are equal for the following vector fields, surfaces S, and closed curves C. Assume that C has counterclockwise orientation and S has a consistent orientation.
\(\mathbf{F}=\langle y-z, z-x, x-y\rangle\); S is the cap of the sphere \(x^{2}+y^{2}+z^{2}=16\) above the plane \(z=\sqrt{7}\) and C is the boundary of S.
Text Transcription:
F = langle y - z, z- x, x - y rangle
z = sqrt&
ANSWER:Solution 9E