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

question 123

Multiple Choice

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

• A) \(127\)
• B)\(128\)
• C) \(63\)
• D) \(64\)
• E) \(31\)
• F)\(32\)
• G) \(15\)
• H)\(16\)

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