Aqsa Kiran Prof. Moinul Islam 7th Feb‚ 2015 Intermediate Microeconomics PPE-3100 Home Work -1 1. Suppose a teenager has $20 and likes both rap music (R) and country music (C) with a set of preferences so that U = C1/2R1/2. Suppose that the iTunes price of a rap music song is and the price of a country music song is. Find optimum levels of R and C. What is the greatest level of affordable utility (Use Lagrange method)? U = C^1/2 R ^1/2 Constrain = Pc +PR = 20 Applying Lagrange Method
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Algebra Archit Pal Singh Sachdeva 1. Consider the sequence of polynomials defined by P1 (x) = x2 − 2 and Pj (x) = P1 (Pj−1 (x)) for j = 2‚ 3‚ . . .. Show that for any positive integer n the roots of equation Pn (x) = x are all real and distinct. 2. Prove that every polynomial over integers has a nonzero polynomial multiple whose exponents are all divisible by 2012. 3. Let fn (x) denote the Fibonacci polynomial‚ which is defined by f1 = 1‚ f2 = x‚ fn = xfn−1 + fn−2 . Prove that the inequality 2 fn
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-Subtracting Integers -Multiplying and Dividing Integers -Fractions and Their Operations -Decimals and Their Operations -Square Root UNIT II. Measurements and Algebra A. Measurements -Historical Development of Measurement -Measuring Instruments -Converting Measurements -Ratio and Measurements - Rounding Measurements B. Algebra (Algebraic Expressions) -Terminology -Simplifying Numerical Expressions -Evaluating Algebraic Expressions -Verbal Phrases and Algebraic Expressions -The Laws
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annual flooding of the Nile‚ and the fact that there was a small leisure class with time to think‚ helped to create a problem oriented‚ practical mathematics. A base-ten numeration system was able to handle positive whole numbers and some fractions. Algebra was developed only far enough to solve linear equations and‚ of course‚ calculate the volume of a pyramid. It is thought that only special cases of The Pythagorean Theorem were known; ropes knotted in the ratio 3:4:5
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Assignment 1 Miss. Dzigbodi Ama Agbodra. A brief history of Mathematics. Ecs/13/01/0396 The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and‚ to a lesser extent‚ an investigation into the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge‚ written examples of new mathematical developments have come to light
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Understand importance of order of operations‚ BODMAS Convert fractions to decimals‚ to percentages‚ to fractions Convert percentages to quantities Calculate money and give change MEASUREMENT: ALGEBRA: PROBABILITY AND STATISTICS: Just like me Mostly like me Like me Sometimes like me Never like me Understand the difference between long term and short term trends‚ probability and chance Read diagrams to gain information
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He is credited as the father of analytical geometry‚ the bridge between algebra and geometry‚ crucial to the discovery of infinitesimal calculus and analysis. Descartes was also one of the key figures in the Scientific Revolution and has been described as an example of genius. René Descartes’ Mathematical legacy One of Descartes’ most enduring legacies was his development of Cartesian or analytic geometry‚ which uses algebra to describe geometry. He "invented the convention of representing unknowns
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Intermediate Sanctions Florence Thomas Axia College of University of Phoenix Intermediate sanctions are criminal sentences that fall between standard probation and incarceration. Intermediate sanctions can include house arrest‚ intensive probation (i.e.‚ probation with more conditions beyond the basic conditions of standard probation)‚ boot camps‚ electronic monitoring‚ and drug treatment programs. Intermediate sanctions serve a dual purpose in the criminal justice system
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Intermediate Sanctions Intermediate sanctions are the sanctions that are more restrictive than the probation and less restrictive than imprisonment. It is also intended to relieve the pressure on the over crowed facilities that deal with the corrections and the probation departments that are understaffed. The purpose for the intermediate sanction in the criminal justice process is that it helps with any of the concerns from the facilities being packed and over crowed. Jails and the prisons
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ISLAMIAT PROJECT -RESERCH ABOUT 5 SCIENTISTS. -THEIR CONTRIBUTIONS TOWARDS SCIENCE. -WRITE ANY ONE OF THEIR CONTRIBUTION WHICH IS USED TODAY IN MODERN WORLD. THE GREAT SCIENCTISTS CONTRBUTIONS TO THE MODERN WORLD. Muslim have made immense contributions to almost all branches of the sciences. Islam gave the world everything. After Islam the world benefited in all ways which we are all thinking as the contribution from Europe. Whatever the historical books used by the western world is all lies. All
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