For each of t
he following equations, determine an interval [a, b] on which fixed-point iteration will
converge. Estimate the number of iterations necessary to obtain approximations accurate to within
10−5, and perform the calculations.
a. x = 2 − ex + x2
3
b. x = 5
x2 + 2
c. x = (ex/3)1/2 d. x = 5−x
e. x = 6−x f. x = 0.5(sin x + cos x)
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