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Problem #8: Let C be a curve given by r(t) = (3 cost, 3 sint), te [0, x]. [5 marks] (a) Find xdy - ydx (b) Let -C be the opposite orientation of the curve C. Which of the following is the parametrization of -C' for t E [0, 7]? (c) What is x dy - ydx? Enter your answer symbolically, Problem #8(a): as in these examples (A) (-3 cost, -3 sin t) (B) (3 sin t, 3 cost) (C) (-3 cost, 3 sint) (D) (3 cost, -3 sint) Problem #8(b): Select v Enter your answer symbolically, Problem #8(c): as in these examples