The line integral along different paths is the same

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Unformatted text preview: oop Is Zero Use any parameterization in the line integral, making sure it comes back to go. A 2 0 F dt 0  path 0, r Cos t , r Sin t , 0 5    0, k x, k y, 0 ¢ ¢ ¤ ¤  & ' d , dt k x2 2 k y2 ,0 2 0 k y z, k t y ¢ ¢ 0 ¤ 9 ) )) () ¡  ¢ & %&& ¤ @  k x2 2 k y2 , ktx 2 k x z, 0 ) ) ) ()  k y dy, k x dt  ¢ ¢  ¢ ¤ 8  ¤ ¡7 7 d , dt 2 k, 0, 0, 0 d , dt ¡ ¢ ¡7 ¢ ¤ ¤ ¥ %&& && ' 0 4. The Line Integral Along Different Paths Is the Same Choose any two parameterizations from A to B, and test that they are the same. T...
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This note was uploaded on 09/30/2010 for the course MAE 123 taught by Professor 123 during the Spring '10 term at École Normale Supérieure.

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