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Math Help - Green's Therorem question 2 ...

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    Green's Therorem question 2 ...

    Let C be the positively oriented circle . Use Green's Theorem to evaluate the line integral .
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by iwonder View Post
    Let C be the positively oriented circle . Use Green's Theorem to evaluate the line integral .
    Here, f\left(x,y\right)=4y and g\left(x,y\right)=11x

    Thus, \frac{\partial f}{\partial y}=4 and \frac{\partial g}{\partial x}=11

    Thus, by Green's Theorem,

    \oint_C 4y\,dx+11x\,dy=7\iint\limits_R\,dA

    Note that the Region R is just a circle of radius 1!!! Thus, \oint_C 4y\,dx+11x\,dy=7\iint\limits_R\,dA=\dots

    Does this make sense?
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  3. #3
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    IT DOES!!
    thankyou very much!!
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