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Find the Work Done by the Force Field On a Particle That Moves Along the Curve

Question 30

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Find the work done by the force field F(x,y)=x(x2+y2)32i+y(x2+y2)32j\mathbf { F } ( x , y ) = \frac { x } { \left( x ^ { 2 } + y ^ { 2 } \right) ^ { \frac { 3 } { 2 } } } \mathbf { i } + \frac { y } { \left( x ^ { 2 } + y ^ { 2 } \right) ^ { \frac { 3 } { 2 } } } \mathbf { j } on a particle that moves along the curve CC given in the figure below.  Find the work done by the force field  \mathbf { F } ( x , y ) = \frac { x } { \left( x ^ { 2 } + y ^ { 2 } \right) ^ { \frac { 3 } { 2 } } } \mathbf { i } + \frac { y } { \left( x ^ { 2 } + y ^ { 2 } \right) ^ { \frac { 3 } { 2 } } } \mathbf { j }  on a particle that moves along the curve  C  given in the figure below.

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