13. Calculate the divergence of the vector field F = x1e1 + 2x1e2 + +nx1en. ...

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A: answer is in next step

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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Here we have to find line integral.

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A: topic - differential equation

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A: answer is in next step

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A: We have to find the indefinite integral of given function

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A: Integral by parts:∫uv dx =u∫vdx -∫dudx ∫vdx dxu=xv=sin x∫ vdx =∫sinx dx = -cos x+Cdudx=ddx(x)=1

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A: Consider

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A: We will find the centroid of the triangle.

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