Consider the vector field F(x, Y, z) = (2xy, x², 1). (a) By calculating the curl of F, show that F is conservative. (b) Find a potential function p for F. (c) Calculate the line integral / F· dī where C is the curve given by the vector equa- C tion 7(t) = (Vt + 2,3 – 2t, ť²), 0

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