Find the Work Done by the Force Field $\mathbf { F } ( x , y ) = ( x + y ) \mathbf { i } + x ^ { 2 } \mathbf { j }$

question 38

Multiple Choice

Find the work done by the force field $\mathbf { F } ( x , y ) = ( x + y ) \mathbf { i } + x ^ { 2 } \mathbf { j }$ on a particle that moves from the point $( 1,0 )$ to the point $( 2,2 )$ along the parabola $y = x ^ { 2 } - x$ .

• A) \(\frac { 15 } { 4 }\)
• B)\(\frac { 15 } { 2 }\)
• C)\(\frac { 49 } { 6 }\)
• D)\(\frac { 49 } { 2 }\)
• E) \(15\)
• F)\(\frac { 15 } { 8 }\)
• G) \(\frac { 49 } { 3 }\)
• H)\(49\)

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