(a) Consider the function f(:r,y) = :32 + 3:2 23; +1, where :1: = tcoe(3), y = tein(3). Calculate % at the point (t, 3) = [2,10, (4 marks) (b) Consider the function g[m,y) = m2 2m + 4? + 1. (i) Find the gradient of g at the point (:12, y) = (2, 1). (ii) Find a unit vector 11 such that Dug(2,1) = 0. (iii) Find the equation of the tangent line to the level curve of g at the point [2, 1). (T marks)