'Imaginary number' diaporamas de présentation

5.1

5.1. A quadratic function f is a function of the form f(x) = ax 2 + bx + c where a, b and c are real numbers and a not equal to zero. The graph of the quadratic function is called a parabola. It is a "U" shaped curve that may open up or down depending on the sign of coefficient a.

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Complex Numbers 2

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QUADRATIC FUNCTIONS

QUADRATIC FUNCTIONS. Monika V Sikand Light and Life Laboratory Department of Physics and Engineering physics Stevens Institute of Technology Hoboken, New Jersey, 07030. OUTLINE . Graphing Quadratic Functions Solving Quadratic Equations by Factoring

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Module on Complex Numbers

Module on Complex Numbers. Lesson 1: Basic Understanding and Operations of Complex Numbers ( slides ?-?) Lesson 2: Geometric understanding of addition and subtraction ( slides ?-?) Lesson 3: Applications ( slides ?-?). Click on the picture to watch the video . Video Annenberg.

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Syllabus overview

Syllabus overview. No text. Because no one has written one for the spread of topics that we will cover.

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PROGRAMME 1

PROGRAMME 1. COMPLEX NUMBERS 1. Programme 1: Complex numbers 1. Introduction The symbol j Powers of j Complex numbers Equal complex numbers Graphical representation of a complex number Graphical addition of complex numbers Polar form of a complex number

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Complex Numbers

Complex Numbers. Any number in form a+b i , where a and b are real numbers and i is imaginary. What is an imaginary number?. Definition of imaginary numbers:. Remember . Simplify complex numbers. 28. Answer: - i. Try these problems:. -15. i.

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Evaluating Functions Tutorial

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ME 414 Design Project

ME 414 Design Project. Heat Exchanger Design. Created and Designed by: Michael Stark Joshua Keith Billy Burdette Brandon Mullen Joseph Listerman. Project Goals. Design Heat Exchanger Create a light weight heat exchanger Heat exchange must be as efficient as possible

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Complex Numbers

Complex Numbers. Last time we Characterized linear discrete-time systems by their impulse response Formulated zero-input output response using impulse response Computed impulse response for example systems Saw examples of FIR and IIR systems Today we will

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The Complex Number System

The Complex Number System. Background: 1. Let a and b be real numbers with a ? 0. There is a real number r that satisfies the equation ax + b = 0; The equation ax + b = 0 is a linear equation in one variable.

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A Recap/Introduction to Functions, Equations, Inequalities, and Notation

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5.6 Complex Numbers

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Complex Numbers

Complex Numbers. Lesson 5.1. It's any number you can imagine. The Imaginary Number i. By definition Consider powers if i. Using i. Now we can handle quantities that occasionally show up in mathematical solutions What about. Imaginary part. Real part. Complex Numbers.

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Complex Numbers

Complex Numbers. 1. Simplifying. 2. Addition & Subtraction. 3. Multiplication. Remember: Imaginary Number ( i ). Defined as: Powers of i. Simplifying Monomials. Simplify a Power of i Steps Separate i into a power of 2 or 4 taken to another power

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Writing complex numbers

Writing complex numbers. Unit 1: topic 3. VOCABULARY. Square root: A number r is a square root of a number if r 2 = s Radical: the symbol ? is a radical sign Radicand: the number beneath the radical sign Imaginary unit i : defined as i = ?-1 i 2 = -1. VOCABULARY.

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Imaginary Numbers and Negative Square Roots

Imaginary Numbers and Negative Square Roots. Imaginary Numbers. The imaginary number i is the square root of -1: Example: Evaluate (3 i) 2. Generalizing Powers of i. Evaluate the examples by first finding a pattern for raising i to a power:.

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Rationalizing a Denominator

Rationalizing a Denominator. Rationalizing Irrational and Complex Denominators.

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