. Consider the vector field F = (y cos(ry), x cos(ry), – sin(z)). (a) Show that F is conservative. (b) Find a potential function f such that F = Vf. (c) Let C be the curve parametrised by r(t) = (cos t, sin t, 3+sin t) between the points (0, –1, 2) and (0,1, 4). Evaluate F- dr.

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