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Problem 51 Medium Difficulty

Given the force field $\mathbf{F},$ find the work required to move an object on the given oriented curve.
$\mathbf{F}=\langle y, x\rangle$ on the parabola $y=2 x^{2}$ from (0,0) to (2,8)

Answer

16

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Video Transcript

in the problem f equal to why are my ex on the parabola y equal to x squared from zero comma 02 to form a yet no Parramatta rising? Yeah, we have our of the equal to t command duty squired and he belongs to the right to do. Therefore RSD equal to one comma 40 now in w equals 0 to 2 to the Squire Commodity car product with one from a 14 in D. P. Now, this is equal to do you know, to to duty Squire plus 40 square deity that is equal to integration. Terrible to 60 Squire daily. Uh, this is equal to six tq over three visited. To do that is equal to to institute the power three, which is given us 16. And if this is the answer and

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