[2} Consider the function f : R4 } R2 given by f{$:yazaw} = (1 + Z2 - myw+ rm*2, (1 + meiotic:2 23)). {a} Find the quadratic approximation of f at the point P = [I], U, 0, 0} and use this approximation to obtain an estimate for f{0.1, 0.1, .1, U.1]. {b} Now consider the function g : R2 } R3 given by ate a) = (weft, 133119 + 1:2 m): Mow-1:34))- We can compose the maps 1' and g to obtain a smooth function g o f : R4 :r R3. Use the chain rule to compute DP [9 o f}, where P = (, 0', U, D)