Suppose f'"(x) = N,(h) + a,h + azh² + azh³ + …. The value of N2(h) using Richardson's extrapolation is: N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h^4 ) N2 (h)=2N1 (h/2)-N1 (h) with error of...

Extracted text: Suppose f'"(x) = N,(h) + a,h + azh² + azh³ + …. The value of N2(h) using Richardson's extrapolation is: N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h^4 ) N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h) N2 (h)=2N1 (h/2)-N1 (h) with error of order O(h^2) N2 (h)=(4N1(h/2)-N1 (h))/3 with error of order O(h^2 )


Extracted text: Suppose that the values of a smooth function f is known for x=0, 0.3, 0.6 and 1.2. Select the 3- point numerical differentiation scheme that will best approximate f'(0.6). Backward difference with h=0.6 Forward difference with h=0.3 Forward difference with h=0.6 Backward difference with h=0.3