All the problems should be solved analytically without using Matlab (25 marks) (a)Using the bisection method of determin

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All the problems should be solved analytically without using
Matlab
(25 marks)
(a)Using the bisection method of determining the root of
3x2 – 9 = 0 and assuming the root is between
1 and 3, determine in the first iteration the values of c,f(a),
f(c) and the values of a and b to be used in the second
iteration.
(b)Determine the root of 3x2 - 9 = 0
using the regula falsi or false position method. Assume the root is
between 1 and 4. The approximate error should be less than 4%.
Explain how you arrived at the answer.