Ankit posted an Question
July 01, 2020 • 05:43 am 30 points
  • IIT JAM
  • Mathematics (MA)

9. evaluate f.dr where c f (r, y) = zy' i + (2y+ 3=) j and cis the portion of z = y - 1 from y=-2to y= 2 followed by the line segment from(3,2) to (0,0) which i

9. Evaluate F.dr where C F (r, y) = zy' i + (2y+ 3=) j and Cis the portion of z = y - 1 from y=-2to y= 2 followed by the line segment from(3,2) to (0,0) which in turn is followed by the line segment from 0,0) to (3, -2). See the sketch below.

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  • Kiran goswami best-answer

    see attachment

    cropped5290156619706623831.jpg
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    what's the problem?

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    why the answer is different by both methods

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    no it's not possible we have some silly mistakes .

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    in green theorem we get answers 14 and by applying proper methods we get -14 it is only because green theorem give us answer in anti clockwise directions but in diagram we see that the path is clock wise so only difference is negative signs.

  • Kiran goswami

    yes we use normal form of green theorem

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    please provide me solution through Green's theorem

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