2. A curve C is described parametrically by : (x = 3 + 3 . cos(t) ly = 4 . sin(t) ; 0 St s 2n (a) Use the parametric equations (and the unit circle) to complete the table of values and sketch the curve C : t X y 10 0 -10 -8 -6 -4 -2 2 4 6 8 10 TC 2 -10 (b) Use a trigonometric identity to eliminate the parameter t to obtain a Cartesian (rectangular) equation for the curve; what is the name of this curve