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Problem 1: Determine a parametric equation (or parameterize) for each of the following curves: (3} the intersection ofthe planes 1 23; + z = 4,231: + y z = 0 (b) the curve 1:2 + 3:2 = 16 (c) the intersection of the plane 41: y + z = 3 and the circular cylinder 12 + 22 = 1 (Ans (c): x = cost,y = 4cost+ sint 3,2 = sin t} Problem 2: Find the parametric equation for curves Cl and C2 according to the labeled moving direction as shown in the graph. The equation for C1 is y = x3. (0.0.0) (1. L\" \"EH-h). C: Problem 3: Calculate the derivative and integration of the x c, (1. L0] following vector rnction t) = (:2 4): + J0: 4)j'+ an}