The work done by the force $\mathbf { F } ( x , y ) = - ( x + y ) \mathbf { i } - ( y - x ) \mathbf { j }$ moving along $\mathbf { r } ( t ) = t ^ { 3 } \mathbf { i } + t ^ { 2 } \mathbf { j }$ from (8, 4) to (1, 1) is

A) $\frac { 176 } { 5 }$
B) $\frac { 186 } { 5 }$
C) $\frac { 196 } { 5 }$
D) $\frac { 221 } { 5 }$
E) $\frac { 226 } { 5 }$

Question

The work done by the force

\mathbf { F } ( x , y ) = - ( x + y ) \mathbf { i } - ( y - x ) \mathbf { j }

moving along

\mathbf { r } ( t ) = t ^ { 3 } \mathbf { i } + t ^ { 2 } \mathbf { j }

from (8, 4) to (1, 1) is

A) $\frac { 176 } { 5 }$
B) $\frac { 186 } { 5 }$
C) $\frac { 196 } { 5 }$
D) $\frac { 221 } { 5 }$
E) $\frac { 226 } { 5 }$

Quizplus · Accepted Answer

The Answer of The work done by the force $\mathbf { F } ( x , y ) = - ( x + y ) \mathbf { i } - ( y - x ) \mathbf { j }$ moving along $\mathbf { r } ( t ) = t ^ { 3 } \mathbf { i } + t ^ { 2 } \mathbf { j }$ from (8, 4) to (1, 1) is

A) $\frac { 176 } { 5 }$
B) $\frac { 186 } { 5 }$
C) $\frac { 196 } { 5 }$
D) $\frac { 221 } { 5 }$
E) $\frac { 226 } { 5 }$

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

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