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

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 along the curve $x = y ^ { 2 }$ from $( 0,0 )$ to $( 1.1 )$ .

A) $\frac { 1 } { 2 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 1 } { 6 }$
E) $\frac { 3 } { 4 }$
F) $1$
G) $\frac { 2 } { 3 }$
H) $\frac { 3 } { 5 }$