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MANE 3351 - Manufacturing Engineering Analysis

Homework Assignment 2

Assigned: September 24, 2025

Due: October 1, 2025 (before 11:59 pm, no late submissions)

In preparation for Homework assignment 2, please read pages 1-16 in the textbook.

Please work the following questions (1-4) by hand and submit second homework assignment as a single PDF document to the Homework 2 Drop Box before the deadline expires. Notice that late submissions are not accepted.

  1. Find \(T_3(x)\) and \(R_3(x)\) about the point \(x_0\) for the function shown below
\[ f(x)=2\sin\left(3x\right);x_0=0 \]
  1. Find \(T_3(x)\) and \(R_3(x)\) about the point \(x_0\) for the function shown below
\[ f(x)=4\cos\left(5x\right);x_0=\pi \]
  1. Find \(T_3(x)\) and \(R_3(x)\) about the point \(x_0\) for the function shown below
\[ f(x)=ae^{bx};x_0=0 \]
  1. Find \(T_2(x)\) and \(R_2(x)\) about the point \(x_0\) for the function shown below
\[ f(x)=4x^3-2x^2+8x-9;x_0=2 \]

Hints

  • Make sure that your calculator is set to radians and not degrees