5:48 Suppose that the values of a smooth function fis known for x= 0.3, 0.9,1.5 and 1.8. Select the 3- point numerical differentiation scheme that will best approximate f(0.3). Backward difference...

Extracted text: 5:48 Suppose that the values of a smooth function fis known for x= 0.3, 0.9,1.5 and 1.8. Select the 3- point numerical differentiation scheme that will best approximate f(0.3). Backward difference with h=0.6 Backward difference with h=0.3 Forward difference with h=0.6 Forward difference with h=0.3 Let / = x tan(x) dx. The approximation of I using the two-point Gaussian quadrature formula is: 2.56125 0.45327 0.14661 -379.538 Use Romberg integration to find an O(h*) approximation for the following integral In(x + 3)dx