Question: This is a calculus question Consider the vector field F(x, y, 2) =. (a) Show that F is irrotational (curlF = 0). (b) Quote a

This is a calculus question

Consider the vector field F(x, y, 2) =. (a) Show that F is irrotational (curlF = 0). (b) Quote a theorem stated in class to conclude that F is conservative. (c) Compute a potential function of F. (d) Compute the line integral of F along the curve C parametrization, for 0 . Compute the line integral of F along the curve parameterized by r(t) = (t', , ("), for 0 t

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