For each of the following equations, use the given interval or determine an interval [a, b] on

Question:

For each of the following equations, use the given interval or 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. 2 + sin x − x = 0 use [2, 3]
b. x3 − 2x − 5 = 0 use [2, 3]
c. 3x2 − ex = 0
d. x − cos x = 0