?Use Green's Theorem to evaluate \(\int_{C} F \cdot d r\). (Check the orientation of the

Chapter 14, Problem 17

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QUESTION:

Use Green's Theorem to evaluate \(\int_{C} F \cdot d r\). (Check the orientation of the curve before applying the theorem.)

\(F(x, y)=\langle y-\cos y, x \sin y\rangle\),

\(C\) is the circle \((x-3)^{2}+(y+4)^{2}=4\) oriented clockwise

Equation Transcription:

 〈

Text Transcription:

int_C F . dr

(F(x, y) = left angle y - cos y, x sin y right rangle

C

(x - 3)^2 + (y + 4)^2 = 4

Questions & Answers

QUESTION:

Use Green's Theorem to evaluate \(\int_{C} F \cdot d r\). (Check the orientation of the curve before applying the theorem.)

\(F(x, y)=\langle y-\cos y, x \sin y\rangle\),

\(C\) is the circle \((x-3)^{2}+(y+4)^{2}=4\) oriented clockwise

Equation Transcription:

 〈

Text Transcription:

int_C F . dr

(F(x, y) = left angle y - cos y, x sin y right rangle

C

(x - 3)^2 + (y + 4)^2 = 4

ANSWER:

Step 1 of 3

It is given that where  is the circle  oriented clockwise.

To find :

Consider the expression for Green’s theorem.

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