13. Why is Richardson extrapolation more useful and effective as a method for estimating the derivative of a function at a given point (when compared with the method of Assignment #1)? a. Because the Richardson method employs much smaller stepsizes. b. Because the Richardson method quickly develops higher order, more accurate approximations without taking such small stepsizes (h), thus avoiding major rounding errors. c. Because the Richardson method is a lower order technique. d. Because the truncation errors are larger 14. When using the bisection method to find a zero of the function shown below, the final answer is the root near: a. -1.88 b. - 1.40 C. -0.63 d. 0.96 A 15. If possible, when generating an interpolating polynomial, the points should be: a. evenly spaced b. unevenly spaced with the highest density near the middle of the range c. unevenly spaced with the highest density closest to the right limit of the range d. spaced with the highest density of points near the limits of the range in proportion to the spacing of zeroes of the Chebyshey polynomials