Let C be the curve in the xy plane along the graph of the function h(x) = x3 3x starting at the point (-1,2) and ending at the point (2, 2) . Let P(x, y) = xay and Q(x, y) = xyd, where a,b,c, and d are positive real numbers. (a) Give a parametrization for C using the variable t and write Sc P(x, y) ds as standard one- dimensional integral in t, so your final answer should be an integral of this form. (b) Give a parametrization for C and compute Sc P(x, y) dx +Q(x,y) dy. Do the integral so that the final answer is a function of x and y. (c) Prove Green's theorem in this case, that is, write down a double integral that should be equal to your answer to part (b), and then compute the double integral to show that it agrees with part (b). Let C be the curve in the xy plane along the graph of the function h(x) = x3 3x starting at the point (-1,2) and ending at the point (2, 2) . Let P(x, y) = xay and Q(x, y) = xyd, where a,b,c, and d are positive real numbers. (a) Give a parametrization for C using the variable t and write Sc P(x, y) ds as standard one- dimensional integral in t, so your final answer should be an integral of this form. (b) Give a parametrization for C and compute Sc P(x, y) dx +Q(x,y) dy. Do the integral so that the final answer is a function of x and y. (c) Prove Green's theorem in this case, that is, write down a double integral that should be equal to your answer to part (b), and then compute the double integral to show that it agrees with part (b)