Please answer the following question showing all your work. Thank you!

Consider the following function: f (ac) = 21/3 (a) Determine the second degree Taylor polynomial, T2 (x), for f(a) centered at x = 8. T2() = (b) Use the second degree Taylor polynomial to approximate (7) 1/3. ( 7 ) 113 ~ Number (Enter a decimal number with six significant figures.) (c) Use the Taylor polynomial remainder theorem to find an upper bound on the error. | R2 (20) 1 5 Number (Enter a decimal number with two significant figures.)