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zm500
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Homework Statement
Find the work done by the force field F(x,y) = x sin(y)i + yj on a particle that moves along on the parabola y = x^2 from (-1,1) to (2,4).
Homework Equations
Work = line integral of the dot product of Field vector and change in the path
The path is parabola equation.
The Attempt at a Solution
I tried to integrate with respect to x and y instead of t, because I don't know how to find the path vector r(t).
So, i got two integrals for X-direction and y - direction.
Then, I can just use the Pythagorean theorem to find the total work.
Srry, I didn't write any mathematical equations.