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Gradient Vector Fields and Line Integrals

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Consider the vector field F = (x^2 + y^2, 8xy). Compute the line integrals and , where c1(t) = (t, t^2) 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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Solution Summary

It shows how to compute the line integrals of the vector field. It further proves that the this force is not a gradient vector field. The solutin is detailed and received a '5/5' rating from the student who originally posted the question.

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Consider the vector field . Compute the line integrals and , where and for . Can you ...

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