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

question 54

Multiple Choice

Find the work done by the force field $\mathbf { F } ( x , y ) = x \sin ( y ) \mathbf { i } + y \mathbf { j }$ on a particle that moves along the parabola $y = x ^ { 2 }$ from $( 1,1 )$ to $( 2,4 )$ .

• A) \(\frac { ( 15 + \sin ( 1 ) - \cos ( 4 ) ) } { 2 }\)
• B) \(\frac { ( 17 + \cos ( 1 ) - \cos ( 4 ) ) } { 2 }\)
• C) \(\frac { ( 15 + \cos ( 1 ) - \cos ( 4 ) ) } { 2 }\)
• D) \(\frac { ( 15 + \sin ( 1 ) - \sin ( 4 ) ) } { 2 }\)
• E) \(\frac { ( 17 - \cos ( 1 ) + \cos ( 4 ) ) } { 2 }\)

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