(2) Consider the function f : R* -> R3 given by f(x, y, z, w) = (1 + x + sin(z - 2y), eyz-w, 2z + tan(w + x2)). (a) Find the quadratic approximation of f at the point P = (0, 0, 0, 0). Use this approximation to estimate the value f(0.1, -0.1, -0.1, 0.1). (b) Now consider the function g : R3 -> R given by g(x, y, z) = (sin(x - y), y cos(a2 - 22 - 1) ). We can compose the maps f and g to obtain a smooth function go f : R* -> R2. Use the chain rule to compute Dp (go f), where P = (0, 0, 0, 0)