Consider the vector-field (a) Show that F = (x + yeª + sin y)i + (eª + x cos y)j. is conservative. (b) Find a potential function f for F F. (c) Let C be oriented curve consisting of the arc of the parabola y = π+ x² from the point (0, π) to the point (√Ã, 2). Evaluate the line integral LE F.dr.

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