Mathematics, 17.04.2020 03:38, 506132

Consider the vector field F=⟨x2+y2,9xy⟩.Compute the line integrals ∫c1F⋅dr and ∫c2F⋅dr, where c1(t)=⟨t, t2⟩ and c2(t)=⟨t, t⟩ for 0≤t≤1.Can you decide from your answers whether or not F is a gradient vector field? Why or why not?

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Consider the vector field F=⟨x2+y2,9xy⟩.Compute the line integrals ∫c1F⋅dr and ∫c2F⋅dr, where c1(t)=...