Time, t Acceleration, A(t) S -2 -1 0 1 2 ms 65 13 5 11 18. The table above shows the acceleration as a function of time. (a) Based on the table, find the polynomial interpolation for A(t) using New- ton's divided difference method. (b) Based on the solution obtained from (a), compute A(t)dt using Simpson's rule with n = 6. 2. a) Find the first four non-zero terms in the Taylor polynomial about (0,0) of f(x, y) = x 1-x-y b) Directly compute the second degree Taylor polynomial about (0,7) of f(x, y) e cos(3y). c) Directly compute the second degree Taylor polynomial about (0,0,0) of f(x, y) = e**y*