7. Consider the vector field F = (yze*z, ez , xye"z). (a) Show that F is conservative. (b) Find a potential function f such that F = Vf. (c) Let C be the portion of the helix parametrised r(t) =...

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Extracted text: 7. Consider the vector field F = (yze*z, ez , xye"z). (a) Show that F is conservative. (b) Find a potential function f such that F = Vf. (c) Let C be the portion of the helix parametrised r(t) = (sin(t), cos(t), t) between the points (0, –1, –7) and (0, –1, 7). Evaluate F. dr .