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For each of the 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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