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9/11 Reflections & Complex Variables: US Foundations & Problem Solving, Assignments of Mechanical Engineering

A reflection on the events of 9/11/01 from a historical perspective, emphasizing the universal respect for human life and the foundations of the united states. Additionally, it covers complex variables and problem-solving in mathematics, including solutions for various complex number problems and an explanation of the phenomenon of beats.

Typology: Assignments

Pre 2010

Uploaded on 08/01/2009

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koofers-user-0af 🇺🇸

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MAE 4024 W3L2
Role Call
Reflections on the Events of 9/11/01
Historical Perspective
Wisdom of the Ages
Respect for Human Life is Universal
Taking of Life Diminishes All Humanity
Foundations of the United States
From the Declaration of Independence:
“We hold these truths to be self-evident, that all Men are created equal, that they are endowed by
their Creator with certain unalienable Rights, that among these are Life, Liberty, and the Pursuit of
Happiness….”
From the Constitution:
“We the People of the United States, In Order to form a more perfect Union, establish Justice,
insure domestic Tranquility, provide for the common defense, promote the general Welfare, and
secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this
Constitution of the United States of America.
From one of our Founding Fathers:
“The sacred rights of mankind are not to be rummaged for among old parchments, or musty
records. They are written, as with a sun beam in the whole volume of human nature, by the hand
of the divinity itself; and can never be erased or obscured by mortal power.”
Alexander Hamilton, 1775
Academic Community Respect for the Individual
Review of Complex Variables
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MAE 4024 W3L

Role Call Reflections on the Events of 9/11/ Historical Perspective Wisdom of the Ages Respect for Human Life is Universal Taking of Life Diminishes All Humanity Foundations of the United States From the Declaration of Independence: “We hold these truths to be self-evident, that all Men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty, and the Pursuit of Happiness….” From the Constitution: “We the People of the United States, In Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution of the United States of America. From one of our Founding Fathers: “The sacred rights of mankind are not to be rummaged for among old parchments, or musty records. They are written, as with a sun beam in the whole volume of human nature, by the hand of the divinity itself; and can never be erased or obscured by mortal power.” Alexander Hamilton, 1775 Academic Community Respect for the Individual Review of Complex Variables

Problem 1.41. Required: Subtract the complex number (1+21) from (3-4I) and express the result in exponential form. Solution: Problem 1. Required: Find the product of the complex numbers z1 = (1+2i) and z2 = (3-4i) and express the result as a complex number. Solution:

Problem 1. Required: Find the quotient z1/z2 of the complex numbers z1 = (1+2i) and z2 = (3-4i) and express the result in complex form. Solution: Beats When two harmonic motions, with frequencies close to one another, are added, the resulting motion exhibits the phenomenon know as beats or beating.