Consider the parametric equation [ r(t) = 2 cos(t) y(t) = 4 sin (t) + 4 cos(t) - 5 minate the parameter by relating r(t) to ult) Give for t [0, ]. (a) Eliminate the parameter by relating r(t) to y(t). Give a description for the curve in terms of x and y only and specify its domain. Hint Express sin (t) in terms of cos (t). (b) Use the function computed in the previous part to sketch the parametric curve. Indicate its orientation.