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MANE 3351 - Manufacturing Engineering Analysis

Homework Three Assignment

Assigned: October 15, 2025

Due: October 22, 2025 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.

\[ f\left(x\right)=3-x-\sin(x)=0 \]
  1. Bisection Method with \(x_0=2\) and \(x_1=3\),
  2. False Position Method with \(x_0=2\) and \(x_1=3\),
  3. Newton's Method with with \(x_0=3\), and
  4. Secant Method with \(x_0=2\) and \(x_1=3\).

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