1. [10 marks] Consider the function f(a:) : 3:4 + 23:2 x 3. (a) Show that a xed point of 9(50) 2 "32334 is a root of f(x). (b) Write Matlab code to

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1. [10 marks] Consider the function f(a:) : 3:4 + 23:2 — x — 3. (a) Show that a fixed point of 9(50) 2 “32—334 is a root of f(x). (b) Write Matlab code to calculate the first 20 iterates for a root of f, starting from51:0 : 1, using ark.“ : 9(a). Show your results. What do you observe about the values?c Show that a fixed point of h :1: = W is a root of f436 +4m 1 (d) Write Matlab code to calculate the first 20 iterates for a root of f, starting from3:0 2 1, using ka = M5019)- Show your results. What do you observe about thevalues? How does this compare to the performance of g?