(5 points) let’s investigate with a test problem (a problem where we know the exact answer). approximate f 0 (1) for f(x) = x 2 sin(x) using a centered difference. in matlab, create an array called h. start with h(1)=0.05. in a while loop, decrease the step size by a factor of 2 each time until h(i) is smaller than 10−13 . build another array error in the same loop containing the exact errors for each approximation. create a log-log plot of the results with the command