Zero circulation fieldsConsider the vector field F = ax +

Chapter 13, Problem 57E

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QUESTION:

Zero circulation fields

Consider the vector field \(\mathbf{F}=\langle a x+b y, c x+d y\rangle\). Show that F has zero circulation on any circle centered at the origin and oriented counterclockwise, for any a, b, c, and d, provided b = c.

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QUESTION:

Zero circulation fields

Consider the vector field \(\mathbf{F}=\langle a x+b y, c x+d y\rangle\). Show that F has zero circulation on any circle centered at the origin and oriented counterclockwise, for any a, b, c, and d, provided b = c.

ANSWER:

Solution 57E

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