Please show your work along with formulas. Thank you.

Let f be a function that has derivatives of all orders on the interval (5, 7). Use the values in the table below and the formula for Taylor polynomials to give the 4th degree Taylor polynomial for f centered at x = 6: f (6) f' (6) f"(6) f"(6) f ( 4 ) ( 6 ) -2 8 8 -7 -5 a) O-5x4 - 7x3 + 8x2 +8x - 2 b) O -2+8 (x + 6) + 4(x +6)2 --(x+6)3 -5 24 (x + 6) 4 c) O -2+8(x - 6) +4(x -6)2 --(x -6)3 5 24 (X - 6)4 d) 0-2+8(x - 6) +8(x - 6)2 -7(x -6)3 - 5(x -6)4 5 e) O 4 24 6 x3 + 4x2 + 8x - 2 () 0 -2+8(x +6) +8(x + 6)2 - 7(x + 6)3-5(x+6)4 g) O None of the above