Evaluate the amount of work done by the force field f(x, y)=1x2i+yexjf(x, y)=1x2i+yexj on a particle that moves along the curve c: x=y2+1c: x=y2+1 from (1,0)(1,0) to (2,1)(2,1).

Step-by-step explanation:

By definition:

Work done along the path is the line integral along that path denoted as:

Work Done =

Note:  dr = dx i + dy j

Given that:

F (x, y) dot product with dr =

Work done =  ... Eq 1

Given that C:

Replace the value of y and dy in Eq 1

Limits of x are 1 to 2 respectively

=

Evaluate limits to obtain

Work Done =

probably the last option

step-by-step explanation: