- #1

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## Homework Statement

Find the work doneby the force field F on a particle that moves along the curve C.

F(x,y)=xy

*i*+ x^2

*j*

C: x=y^2 from (0,0) to (1,1)

## Homework Equations

[tex]\int[/tex]F dot dr=[tex]\int^{b}_{a}F(r(t))dotr'(t)dt[/tex]

## The Attempt at a Solution

Okay, so I parametrized x=t and y=t^2 (giving r(t)=t

*i*+t^2

*j*right?) and substituted those values in for x and y in F, dotted that with 1

*i*+2t

*j*because I think that it is the derivative of r, if the parametric equations for r are x=t and y=t^2. I then took the integral of the dot product i just took over the interval 0 to 1. I ended up with 3/4 but the correct answer is 3/5