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Let F=(9x2+6ycos(xy))i+(2y+6xcos(xy))j\vec { F } = \left( 9 x ^ { 2 } + 6 y \cos ( x y ) \right) \vec { i } + ( 2 y + 6 x \cos ( x y ) ) \vec { j }

Question 6

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Let F=(9x2+6ycos(xy))i+(2y+6xcos(xy))j\vec { F } = \left( 9 x ^ { 2 } + 6 y \cos ( x y ) \right) \vec { i } + ( 2 y + 6 x \cos ( x y ) ) \vec { j } .
Calculate CFdr\int_{C} \overline{\vec{F}} \cdot \overline{d r} where C is the curve shown below.  Let  \vec { F } = \left( 9 x ^ { 2 } + 6 y \cos ( x y ) \right) \vec { i } + ( 2 y + 6 x \cos ( x y ) ) \vec { j }  . Calculate  \int_{C} \overline{\vec{F}} \cdot \overline{d r}  where C is the curve shown below.

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