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Get solution: Show that each of the following equations has a unique solution in the
Chapter 1, Problem 8(choose chapter or problem)
QUESTION:
Show that each of the following equations has a unique solution in the given interval, and use Newton's method to find it to 5 significant decimal places.
Questions & Answers
QUESTION:
Show that each of the following equations has a unique solution in the given interval, and use Newton's method to find it to 5 significant decimal places.
ANSWER:
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Step 1 of 6
First prove that the given function has a unique solution.
Let the given function be
To prove that f has a unique solution in (0,1), to prove that f is continuous, monotone and changes its sign at the end of the interval (0,1).
Since f is a linear combination of and a function of x, f(x) is continuous.