A curve C is defined by the parametric equations ons x = 3cos(2t) on [0, 277]. y = 2 sint a. By using the technique of eliminating the parameter, express the path of the curve in Cartesian coordinates in terms of a relationship between x and y. Sketch the curve below. dx b. Find and use it to give the equation(s) of the tangent line(s) to C with a slope of W / - son ( t ) es c. Give the coordinates of all points (if any) where C has a horizontal tangent line. d. Give the coordinates of all points (if any) where C has a vertical tangent line. 0 - - 7 ( 8, 0) d' y e. Find dy dx 2 and dx