please do 2 and use matlab for 2

floating point number systems 1. Determine the number of significant decimal digits and the number of significant binary digits to which each of these two numbers agree, 355/113 and T. finite difference approximation 2. (1st derivative) Let f(x) be a given function and recall the forward difference approximation of f'(o), D+f(x) = f(x+h) f(x) where h > 0 is the step size. (a) Take f(x) = sin 2, r = 7/4, h=2-" for n = 1, 2.....6. Following the example in class, plot the error versus h and make a table with the following format: column 1: h, column 2: D+ f(x), column 3: f'(x) - D+ f(x), column 4: f'(x) - D f(x))/h, column 5: (f'(x) - D+ f()/h2. You may modify the Matlab code given in class. Present at least eight decimal digits (type "format long" in Matlab to get the full 15 digits)