a and b.

(2) Consider the function f : R4 > R2 given by f(x, y, 27 w) = (1 + 22 xyw + 210-12, (1 + y) sin(w2 2x)). (a) Find the quadratic approximation 13f of f at the point P = (0, 0, 0, 0), and use this approximation to obtain an estimate for f(0.1, 0.1, 0.1, 0.1). (b) Now consider the function g : R2 > R3 given by g(x, y) = (xexy, tan(2 + y2 x), ycos(xy)). We can compose the maps f and g to obtain a smooth function g a f : R4 > R3. Use the chain rule to compute Dp(g f), Where P = (0, 0, 0, 0)