Consider the function:⁴³ given byf(,,,)=(1+², ^yz-w , 2sin(+²)).

(a) Find the quadratic approximation²_Pf of fat the point=(0,0,0,0).

(b) Now consider the function:³²given by (,,)=(sin(), cos(²²1)).

We can compose the maps and to obtain a smooth function:⁴². Use the chain rule to compute_P(), where=(0,0,0,0)