Previous Problem Problem List Next Problem In this question, we will investigate the number of intervals necessary to achieve a given level of accuracy using Simpson's method. To make the project concrete, we focus on the integral I = f1.2 da (a) Let f(ze) = -. Find the fourth derivative of f(x). f ( 4) ( 20 ) = 24/X15 (b) Which of the following best describes the behaviour of | f() (x) | on the interval (1, 1.2)? Increasing Decreasing Sometimes increasing, sometimes decreasing (c) What is the maximum value of | f ()(x) | on the interval (1, 1.2)? max If ()(x)| = 24 (d) Let L denote the value found above. Taking a = 1 and b = 1.2, and assuming n > 0, isolate n to express the inequality L (b - a)' 1 180 n4 107 in an equivalent form (where n need not be an integer): n _ 2.55577 (e) Use the results above to find the smallest even integer n for which n 29 MacBook Air