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8. ∫c​(15−y)dsC:r(t)=⟨5cos(t),5sin(t),t⟩​0≤t≤πt=0t=π​ The work done by the force field F(x,y)=⟨y,x⟩ acting on an object

Posted: Thu Jul 14, 2022 4:45 pm
by answerhappygod
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8. ∫c​(15−y)dsC:r(t)=⟨5cos(t),5sin(t),t⟩​0≤t≤πt=0t=π​ The work done by the force field F(x,y)=⟨y,x⟩ acting on an object as it moves alony the parabola y=x2−1 from (1,0) to (−2,3) is given by: ∫C​ydx−xdy