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 =

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)