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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Soul music is the sound of an unforgettable era. There are a number of memorable hits that continue to get serious radio play even 30 to 40 years after their release. Here are some of the greatest soul album ever made. Number Ten: Rick James- Street Songs‚ 1981 This songwriter‚ singer‚ guitarist‚ and producer all rolled into one became known for something called "punk-funk." Quite an innovative concept! Number Nine: Jr. Walker and the Allstars- Shotgun‚ 1965 Walker started out as a solo saxophone
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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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biggest 2-digit even number? 7. What is the odd number next to 395? 8. What comes after 346? 9. Arrange from least to greatest. {32‚ 47‚ 23‚ 73‚ 53} 10. What is the correct symbol to be used in 89 (‚ =) 45? 11. In the expression 5-3=2. What do you call 2? 12. Write on-half in symbols. 13. I am a two digit number. My ten’s digit is 4 and the sum of my digits is 6. What number am I? 14. Add 24 to the difference of 33 and 14. 15. What number is between 29 and 31? 16. Which number does not belong
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be wrong. Here are some of the most common misconceptions out there about bisexuality. Number Seven: ’It’s Only a Phase’ A lot of people assume that bisexual experimentation is just something you try once in college. This is a stereotype that may be true for some‚ but is usually completely untrue. Studies show that very few women who identified as bisexual changed their orientation later on in life. Number Six: Bisexuals are More Likely to Have STDs For some reason‚ this is a prejudice that persists
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2x+1* 2x+1 b) (2x+1)(2x+1)(2x+1)= (2x+1)(2x+1) 8x^3+8x^2+2x+4x^2+4x+1 Combine like terms 8x^3+12x^2+6x+1 5.5 46. (a) (x4y2)2 (-2 x2y-2)3 94. Distance to the Moon The moon is about 240‚000 miles from Earth. (a) Write this number in scientific notation. (b) If a rocket traveled at 4 * 10^4 miles per hour‚ how long would it take for it to reach the moon? 2.4 X 10^5 miles b. v = x/t Formula for velocity vt = x
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either from errors in DNA or from the harming impacts of mutagens‚ for example‚ chemicals and radiation‚ which respond with DNA and change the structures of individual nucleotides. All cells possess DNA-repair enzymes that attempt to minimize the number of mutations that occur. These enzymes work in two ways. Some are pre-replicative and look the DNA for nucleotides with irregular structures‚ these being replaced before replication happens; others are post-replicative and check recently synthesized
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driver’s age and the number of accidents that the driver has had. The basic insurance charge is $500. There is a surcharge of $100 if the driver is under 25 and an additional surcharge for accidents: # of accidents Accident Surcharge 1 50 2 125 3 225 4 375 5 575 6 or more No insurance 3. Prompt the user for a number and print good
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In the novel‚ prime numbers symbolize Chris’s interest in math and his logical thinking. In the beginning chapter‚ Chris explains how he does things differently than others do. Especially in the way that he organizes his chapters of the book. He says‚ “Chapters are usually given the cardinal numbers 1‚2‚3‚4‚5‚6 and so on. But I have decided to give my chapters prime numbers 2‚3‚5‚7‚11‚13 and so on because I like prime numbers” (Haddon 11). Chris’s interest with prime numbers spreads throughout the
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Loss Method: NRCS Curve Number Method The U.S. Natural Resource Conservation Service (NRCS) (formerly the Soil Conservation Service (SCS)) Curve Number method used in this study estimates the effective rainfall as a function of the cumulative rainfall‚ the land use‚ the soil type and the antecedent moisture condition of the soil. The model is described in detail in the National Engineering Handbook (NEH) (NRCS 2004). It was created based on the analysis of a large number of small and gauged agricultural
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