a) Use Simpson's rule in order to approximate the integral (f(x))dx,0,1

x 0 0.25 0.5 0.75 1 1.25 1.5

f(x) 5 5.2 5.3 5.5 5.8 5.5 5.2

b) Suppose we know that the absolute value of f^(-4) <= 2. estimate the error in the approximation in (a).

c) What would n have to be in order for the error in using Simpson's Rule be less than 10^-5