Problem 10 Develop a quadratic approximation for the following functions: (a) g: R³ → R defined as g(x, y, z) = €²e³ + e²e³+ y²(1 + x + z) around the

point (0, 1,0). (b) h: R¹ → R defined as h = x¹ Ar + ex around the point (1,..., 1); here A is an n x n symmetric matrix and c E R is a given vector.