of “Complex and Imaginary Numbers” and its applications. I chose the topic “Complex and Imaginary Numbers” because I am interested in mathematics that is hard to be pictured in your mind‚ unlike geometry or equations. An imaginary number is the square root of a negative number. That is why they are called imaginary‚ what René Descartes called them‚ because he thought such a number could not exist. In this paper‚ I will discuss how complex numbers and imaginary numbers were discovered‚ the interesting
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this assignment is to understand and implement the basic if else and to understand how to use it for the real life problems. 1. write a program that convert pounds to kilogram and to print an error message if the weight entered in pounds is negative. 2. An Auto Insurance Program - Write a program to determine the cost of an automobile insurance premium‚ based on 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
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“Mesoamerican Vigesimal Number System” In the modern world we use a number system based on ten with a symbol representing zero to nine. Numbers are written horizontally with each number place representing that the number value has exceeded the value of the number place to the right. The Mayans or Mesoamericans used a twenty based number system that is written vertically. According to the Mayans numerical system one dot is equal to one and instead of writing five dots for the number five a line replaces
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The Number Devil The Number Devil - A Mathematical Adventure‚ by Hans Magnus Enzensberger‚ begins with a young boy named Robert who suffers from reoccurring nightmares. Whether he’s getting slurped up by a giant fish‚ sliding down an endless slide into a black hole‚ or falling into a raging river‚ his incredibly detailed dreams always seem to have a negative effect on him. Robert’s nightmares either frighten him‚ make him angry‚ or disappoint him. His one wish is to never dream again; however‚
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Complex Numbers All complex numbers consist of a real and imaginary part. The imaginary part is a multiple of i (where i =[pic] ). We often use the letter ‘z’ to represent a complex number eg. z = 3 +5i The conjugate of z is written as z* or [pic] If z1 = a + bi then the conjugate of z (z* ) = a – bi Similarly if z2 = x – yi then the conjugate z2* = x + yi z z* will always be real (as i2 = -1) For two expressions containing complex numbers to be equal‚
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Pi has always been an interesting concept to me. A number that is infinitely being calculated seems almost unbelievable. This number has perplexed many for years and years‚ yet it is such an essential part of many peoples lives. It has become such a popular phenomenon that there is even a day named after it‚ March 14th (3/14) of every year! It is used to find the area or perimeter of circles‚ and used in our every day lives. Pi is used in things such as engineering and physics‚ to the ripples created
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_____________Download from www.JbigDeaL.com Powered By © JbigDeaL____________ NUMERICAL APTITUDE QUESTIONS 1 (95.6x 910.3) ÷ 92.56256 = 9? (A) 13.14 (B) 12.96 (C) 12.43 (D) 13.34 (E) None of these 2. (4 86%of 6500) ÷ 36 =? (A) 867.8 (B) 792.31 (C) 877.5 (D) 799.83 (E) None of these 3. (12.11)2 + (?)2 = 732.2921 (A)20.2 (B) 24.2 (C)23.1 (D) 19.2 (E) None of these 4.576÷ ? x114=8208 (A)8 (B)7 (C)6 (D)9 (E) None of these 5. (1024—263—233)÷(986—764— 156) =? (A)9 (B)6
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REAL NUMBERS Q.1 Determine the prime factorization of the number 556920. (1 Mark) (Ans) 23 x 32 x 5 x 7 x 13 x 17 Explanation : Using the Prime factorization‚ we have 556920 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 17 = 23 x 32 x 5 x 7 x 13 x 17 Q.2 Use Euclid’s division algorithm to find the HCF of 210 and 55. (1 Mark) (Ans) 5 Explanation: 5 ‚ Given integers are 210 and 55 such that 210 > 55. Applying Euclid’s division leema to 210 and 55‚ we get 210 = 55 x 3 + 45 ………
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About the Authors Titu Andreescu received his BA‚ MS‚ and PhD from the West University of Timisoara‚ Romania. The topic of his doctoral dissertation was “Research on Diophantine Analysis and Applications.” Professor Andreescu currently teaches at the University of Texas at Dallas. Titu is past chairman of the USA Mathematical Olympiad‚ served as director of the MAA American Mathematics Competitions (1998–2003)‚ coach of the USA International Mathematical Olympiad Team (IMO) for 10 years (1993–2002)
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Sample Papers 2013 –BelieveNext.blogspot.com Sample Papers 2013 –BelieveNext.blogspot.com 1. Find a quadratic polynomial‚ the sum and product of whose zeroes are 0 and √5 respectively. 2. Find the quadratic polynomial‚ the sum and product of whose zeroes are 4 and 1‚ respectively 3. If a and b are the zeros of the quadratic polynomial f(x)= x2-5x+4‚ find the value of 1/a + 1/b-2a b 4. Find the zeroes of the quadratic polynomial 4√3 x2+ 5 x - 2 √3 and verify the relationship between
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