Complex Numbers and Applications ME50 ADVANCED ENGINEERING MATHEMATICS 1 Complex Numbers √ A complex number is an ordered pair (x‚ y) of real numbers x and y. For example‚ (−2.1‚ 3.5)‚ (π‚ 2)‚ (0‚ 0) are complex numbers. Let z = (x‚ y) be a complex number. The real part of z‚ denoted by Re z‚ is the real number x. The imaginary part of z‚ denoted by Im z‚ is the real number y. Re z = x Im z = y Two complex numbers z1 = (a1‚ b1) and z2 = (a2‚ b2) are equal‚ written z1 = z2 or (a1‚ b1) = (a2‚ b2)
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DETERMINATION OF SAPONIFICATION AND IODINE NUMBERS OF SOME LIPIDS A.L. ASCANO1 C.V. OPONDA1 1INSTITUTE OF BIOLOGY UNIVERSITY OF THE PHILIPPINES‚ DILIMAN‚ QUEZON CITY‚ PHILIPPINES DATE PERFORMED: FEBRUARY 19‚ 2013 INSTRUCTOR’S NAME: FRANCESCA N. BELTRAN _____________________________________________________________________________________ ABSTRACT _____________________________________________________________________________________ INTRODUCTION Lipids are long aliphatic hydrocarbon chains
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30. (a2b3)(-ab2)=(a*a*b*b*b) x (-a*b*b) ANSWER = -a^3b^5 80. Write a simplified expression for the area of the given figure. 4y2=height 7y3=base ½ base * height = area ½ * 7y^3 *4y^2 5.3 66. (5x + 4)(x2 - 3x + 2) 5x^3-15x^2+10x 4x^2-12x+8 5x^3-11x^2-2x+8 82. Rectangular Garden A rectangular garden has a perimeter of 500 feet. (a) If one side of the garden has length x‚ then write a polynomial expression that gives its area. Multiply
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Internal Assessment Research Question: How does the number of sit-ups affect your heart rate. Independent Variable (IV): Number of sit-ups ( 0‚5‚10‚15‚20). I chose these 5 increments because they are consistent numbers in which everyone can participate without it being to much. Dependent Variable: heart rate( BPM) +/- 4 ( number of beats in 15 seconds multiplied by 4). Materials: timer‚ flat surface‚ movable clothing Background: In this experiment I will test your heart rate and if it increases
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Speak Your Mind “In Analysis: The Significance of Macbeth’s Soliloquy in Act Five Scene Five” “Hang out our banners on the outward walls. The cry is still ‘They Come!’ Our castle’s strength will laugh a siege to scorn. Here let them lie till famine and the ague eat them up.” (Page 408 Lines 1-4). Act five scene five is the downfall of Macbeth. Macbeth has just learned that Lady Macbeth has died and he is full of regret. This is when he gives his famous tomorrow‚ tomorrow‚ tomorrow soliloquy. William
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Introduction 1 2. What is base 5 number 1 3. How to read a Multiplication TABLE 2 4. How to read an Addition TABLE 3 5. Process of multiplying two base 5 number 3 APPENDIX A: LIST OF FIGURES 6 APPENDIX B: REFERENCE PAGE 6 ii PREFACE Thanks the help of my professor Nancy Acemian and the students who contribute their ideas when I write this instruction. Wenjun zhu February 2008 iii 1. Introduction In reality‚ people use base 10 numbers quite often in different
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* * * * MOBILE NUMBER PORTABILITY * * * Final Project Report * INDEX Section | Sub-Section | Topic | Page | 1 | | Background | 3 | 2 | | Decision and research problem | 5 | 3 | | Areas of Information | 5 | 4 | | Research Methodology | 6 | 5 | | Findings | 8 | | 1 | Observation and content analysis | 8 | | 2 | Primary Research (Pilot Study) | 14 | 6 | | Recommendations | 25 | 7 | | References | 27 | 8 | | Appendix A- Questionnaire
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Math SL Investigation Type 2 Stellar Numbers This is an investigation about stellar numbers‚ it involves geometric shapes which form special number patterns. The simplest of these is that of the square numbers (1‚ 4‚ 9‚ 16‚ 25 etc…) The diagram below shows the stellar triangular numbers until the 6th triangle. The next three numbers after T5 would be: 21‚ 28‚ and 36. A general statement for nth triangular numbers in terms of n is: The 6-stellar star‚ where there are 6 vertices‚ has
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Management and Leadership Level 5 Management and Leadership Contents Page Qualification structures Unit 5001 Unit 5002 Unit 5003 Unit 5004 Unit 5005 Unit 5006 Unit 5007 Unit 5008 Unit 5009 Unit 5010 Unit 5011 Unit 5012 Unit 5013 Personal development as a manager and leader Information based decision making Performance management Resource management Meeting stakeholder and quality needs Conducting a management project Financial control Marketing planning Project development and control Human
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Mathematics Project Work SPM 2 |2012 No. | Content | Page | 1 | Preface | | 2 | Acknowledgement | | 3 | Aim | | 4 | Objectives | | 5 | Introduction | | 6 | Activity 1: Collecting information | | 7 | Activity 2: Analysing the data | | 8 | Activity 3: Interpreting the result | | 9 | Activity 4: Further exploration | | 10 | Activity 5: Conclusion | | 11 | Reflection | | CONTENT PREFACE I have done many researches throughout the internet and discussing with a friend
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