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

Multiple Choice

The work done by the force $\mathbf { F } ( x , y ) = ( y - x ) \mathbf { i } + x ^ { 2 } y \mathbf { j }$ moving along $y = 3 x - 2$ from (1, 1) to (2, 4) is

A) $\frac { 85 } { 4 }$
B) $\frac { 83 } { 4 }$
C) $\frac { 81 } { 4 }$
D) $\frac { 77 } { 4 }$
E) $\frac { 71 } { 5 }$