I. Consider a curve generated by the parametric equations 3: = t) =eiit sin{2t) y = gm = a\" cos(2t), o s r 5 2: Answer the following questions analytically. . ate a. Find 5' b. Determhe the value of t and the corresponding cartesisn points {any} where the curve has horizontal tangent rm. e. Determine the values oft and the corresponding cartesian points (I, y] where the curve has vertical tangent lines. d. Is the graph of the curve a smooth curm'? Justify your answer analytically using dyfdt and dsfdt. e. Is the graph of the curve a chased curve? Justify your answer analytically. I. Determine the length of arc of the curve