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Numerade Educator



Problem 42 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 line $y=10-2 x$ from (1,8) to (3,4)




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Video Transcript

are now given for Stewart of F. Why coming? Negative X and see a 10 rounds two x in between. You want to come A and three come of for So we want to find a work of move the object across this line. So the perfecter equation for this Is it easy? It's just gonna be t kama 10 minus two t. It's tr of tea. This part's X in this parts. Why our prime have to It's gonna be one comma. Negative too. No network is gonna be given right this plugging in our values from one of three. What a three we got from right here of 10 minus two t common negative t dot with one common negative too. This is the Goto integral from one of three of 10 minus two t plus two t t t. That's ego 10 t value from Warner three, which is 20

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