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

question 105

Multiple Choice

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

• A) \(\frac { 85 } { 6 }\)
• B) 3
• C) \(\frac { 13 } { 2 }\)
• D) 13

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