2- Let ($(t), y(t)) : (cos 275 + cos t, sin 273 + Sin t). (a) Find the equations for the tangent and normal lines to the curve at the point (as (g) ,y (g) ). [8] (b) (i) Show that the length along the curve from (1.2(0), y(0)) to ($(7T), y(7r)) is 10\" m dt. (Recall that cos(a ) : cosacos + sinasin for any a, {3 E R.) [6] (ii) Using Simpson's rule, estimate the value of the integral from (i) to two decimal places. [6]