Question Solved1 Answer Calculate S. F(r) • dr for the given data. If F is a force this gives the work done by the force in the displacement along C. Show the details .2 F = [y², –x²], C: y = 4x² from (0, 0) to (1, 4)

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Transcribed Image Text: Calculate S. F(r) • dr for the given data. If F is a force this gives the work done by the force in the displacement along C. Show the details .2 F = [y², –x²], C: y = 4x² from (0, 0) to (1, 4)
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Transcribed Image Text: Calculate S. F(r) • dr for the given data. If F is a force this gives the work done by the force in the displacement along C. Show the details .2 F = [y², –x²], C: y = 4x² from (0, 0) to (1, 4)
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Step 1The integration, ∫abxndx is evaluated using the formula, ∫abxndx = bn+1n+1- an+1n+1 .Step 2Find the parametric representation of the curve C .Let x=t , then y=4t2 , where, 0≤t≤1 . Hence, dx=dt and dy=8tdt . Here, F(r)=y2 i^-x2 j^ a ... See the full answer