2. Let f(r) = e (1 +2rcosz). Given that (r) = me (1+2(x-1) cosa + 2xsinz) , f" () = e(1-4 cose + 4(r - 1) sinc) . and "(x) = me (1 -4rcosm + 4(2 - 3) sinc) . (a) (4 points) Find the second Taylor polynomial of f at the reference point 0 and use it to approximate f (0.1). (b) (6 points) Find an upper bound for the absolute error committed in part (a)