Find the Work Done by the Force Field $\mathbf { F }$

question 42

Multiple Choice

Find the work done by the force field $\mathbf { F }$ on a particle that moves along the curve $C$ .
$$\mathbf { F } ( x , y ) = ( 5 x + 5 y ) \mathbf { i } + 4 x y \mathbf { j } ; C : \mathbf { r } ( t ) = 3 t ^ { 2 } \mathbf { i } + t ^ { 2 } \mathbf { j } , 0 \leq t \leq 1$$

• A) 17
• B) 19
• C) 34
• D) \(\frac { 71 } { 2 }\)

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