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

Step by Step Answer:

To show that the circulation of the vector field mathbfFx y zleftlangle x2 y2 zx2y2 ight angle around any curve C on the surface of the cone z2x2y2 is ...View the full answer

Calculus

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