Answer Happy

5: Use an interpolating polynomial of degree two or lower to find the value of the function f at the point r = .25. You may use either the Newton or the Lagrange method. The function f is the function interpolating the data below. S = {(0, 1), (.15, 2), (.5, .-2)} 6: If you used the Lagrange polyonial in the previous problem write the Newton form of the interpolating polynomial. If you used the Newton form polyonial in the previous problem write the Lagrange form of the interpolat- ing polynomial. In either case, do not expand the polynomials any more than needed. Exam #3 Material 7: (60 points) Create a Riemann sum to estimate the definite integral below. Choose n = 6 and let x; be the point halfway between the left endpoint and the midpoint of each interval. Give your answer to five decimal places.