Get answer: Calculate this line integral by Stokes's theorem, clockwise as seen by a

Chapter 10, Problem 10.1.180

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Calculate this line integral by Stokes's theorem, clockwise as seen by a person standing at the origin, for the following \(\mathbf{F}\) and \(\mathbf{C}\). Assume the Cartesian coordinates to be righthanded. (Show the details.)

\(\mathbf{F}=\left[\begin{array}{lll}-3 y, & 3 x, & z\end{array}\right], C\) the circle \(x^{2}+y^{2}=4, z=1\)

Text Transcription:

F

C

F = [-3y,  3x,  z], C

x^2 + y^2 = 4, z = 1

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