Show that the circulation of (mathbf{F}(x, y, z)=leftlangle x^{2}, y^{2}, zleft(x^{2}+y^{2}ight)ightangle) around any curve (C) on the

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Show that the circulation of $\mathbf{F}(x, y, z)=\left\langle x^{2}, y^{2}, z\left(x^{2}+y^{2}ight)ightangle$ around any curve $C$ on the surface of the cone $z^{2}=x^{2}+y^{2}$ is equal to zero (Figure 3 ).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 28, 2024 12:02 AM

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Show that the circulation of (mathbf{F}(x, y, z)=leftlangle x^{2}, y^{2}, zleft(x^{2}+y^{2}ight)ightangle) around any curve (C) on the

Question:

x C z = x + y

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Calculus

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