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I am having some trouble with these questions, thank you for your help in advance 1) Find the length of the curve r(t) = 3t

I am having some trouble with these questions, thank you for your help in advance

1) Find the length of the curve r(t) = 3t + 4, 1 t, 3 2t for 0 t 5

2) Evaluate the line integralCFdr where F = x + 3y, 2x and C is given byy=x2 from (0, 0) to (2, 4)

3) Let F =<2xy,x2+y> and C be defined by r(t) =<t+1,t2 for 1 t 2

A)Show that F is conservative

B) Find the potential function for F

C) EvaluateCFdr using the Fundamental Theorem of Line Integrals

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