Q1) Determine the root of the function f(x) = x+ In(x)-2. Stop iterations when the absolute relative true error is less than or equal to 0.01%, by the following methods: a) Newton's method starting from initial guess: Xo= 1. b) Resolve for the root using bisection method. Use x= 1 and xu-2. Given the true root is 1.557146. (Use 5 digits accuracy).

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Q1)
Determine the root of the function f(x) = x+ In(x)-2. Stop iterations when the
absolute relative true error is less than or equal to 0.01%, by the following methods:
a) Newton's method starting from initial guess: xo= 1.
b) Resolve for the root using bisection method. Use x= 1 and xu-2.
Given the true root is 1.557146. (Use 5 digits accuracy).
Transcribed Image Text:Q1) Determine the root of the function f(x) = x+ In(x)-2. Stop iterations when the absolute relative true error is less than or equal to 0.01%, by the following methods: a) Newton's method starting from initial guess: xo= 1. b) Resolve for the root using bisection method. Use x= 1 and xu-2. Given the true root is 1.557146. (Use 5 digits accuracy).
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