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MANE 3351 - Manufacturing Engineering Analysis

Homework Three Assignment

Assigned: October 7, 2024

Due: October 14, 2024 before 11:59 pm


Work the following problems by hand. For problems involving trigonometric questions, make sure that your calculator is set to radians (and not degrees).

Use the equation from Exercise 4 (a) on page 75 for all parts. Perform three (3) iterations of each root finding technique.

\[ f\left(x\right)=e^x+2^{-x}+2\cos x-6=0 \]
  1. Bisection Method with \(x_0=1\) and \(x_1=2\),
  2. False Position Method with \(x_0=1\) and \(x_1=2\),
  3. Newton's Method with with \(x_0=1.25\), and
  4. Secant Method with \(x_0=1\) and \(x_1=2\).

Please create a pdf document containing your solution to this assignment and submit to the Homework 3 Drop Box.