Equations Reducible to Quadratic Equations Exercise 4.2 Solve the following equations: 1. x 4 − 6 x 2 + 8 = 0 Solution: x4 − 6 x2 + 8 = 0 Let y = x 2 and y 2 = x 4 The above equation becomes: y 2 − 6 y + 8 = 0 y2 − 6 y + 8 = 0 y2 − 4 y − 2 y + 8 = 0 y ( y − 4) − 2( y − 4) = 0 ( y − 2)( y − 4) = 0 y − 2 = 0 and y − 4 = 0 y=2 y=4 2 As‚ y = x x2 = 2 x2 = 4 x = ±2 x=± 2 solution set = { 2‚ − 2‚ 2‚ −2} 2. x −2 − 10 = 3 x−1 Solution: x −2 − 10 = 3 x −1 x −2 − 3 x −1 − 10 = 0 Let
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Problems on NUMBERS Q. 1 to Q. 10 Check the divisibility for the following numbers whether these are divisible by 2‚ 3‚ 4‚ 5‚ 6‚ 7‚ 8‚ 9‚ 11‚ and 12. Test for all Factors among the above mentioned numbers. 191 1221 11111 10101 512 3927 34632 4832718 583360 47900160 Q. 11. Simplify (46 + 18 * 6 + 4) / (12 * 12 + 8 *12) = ? Q. 12 On dividing a number by 999‚ the quotient is 366 and the remainder is 103. The number is Q. 13 Simplify (272 - 32)(124 + 176) / (17 * 15 - 15)
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their rates of return on equity. Which of these two firms has the greater dividend yield? Explain. Use no numerical examples in your answer. 2. (10 marks) A public firm is considering a general cash offer of new common shares. Describe and explain how this firm’s “primary market” share price and its “secondary market” share price are related to one another. Explain. Use no numerical examples in your answer. 3. (10 marks) What are the primary factors that influence a firm’s rate of return
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Types of Reasoning Reasoning is the process of inferring conclusions from premises. The premises may be in the form of any of the various types of evidence; they may be stated as propositions; or they may be statements of conclusions reached through prior reasoning. Thus advocates use the premises they have previously established or asserted‚ and by a process of reasoning‚ they try to establish something new—a conclusion they want their audience to accept. If the audience perceives the premises
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Deductive reasoning Deductive reasoning happens when a researcher works from the more general information to the more specific. Sometimes this is called the “top-down” approach because the researcher starts at the top with a very broad spectrum of information and they work their way down to a specific conclusion. For instance‚ a researcher might begin with a theory about his or her topic of interest. From there‚ he or she would narrow that down into more specific hypotheses that can be tested. The
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TERM PAPER OF 5TH SEMESTER 2010 NUMERICAL ANALYSIS MTH204 TOPIC: Using trapezoidal rule and simpson’s rule‚ evaluate the integral [pic] DOA: DOS: 12th November‚ 2010 Submitted to: Submitted by: Ms.Nitika Chugh Mr. William Anthony Deptt. Of Mathematics
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(IMT‚HYD)‚ 2015 9 -6 1 0 -0 5 0 REV: DECEMBER 2‚ 2011 SANDRA J. SUCHER NIEN-HÊ HSIEH A Framework for Ethical Reasoning Introduction This note will present a practical framework for ethical reasoning‚ in other words‚ a set of questions to help you assess the ethical implications of a course of action. While many of us believe that we approach such assessments with all of our reasoning powers at the ready‚ we actually first come to moral judgments with instinct and emotion – a nearly instantaneous
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Preparation Guide Numerical Analysis This preparation guide helps you to prepare for numerical aptitude assessments. It provides guidance on how best to approach the assessment‚ allowing you to give your best possible performance. Why are Aptitude Assessments used? Employers often use aptitude assessments as part of their assessment procedures for the selection and development of staff. Research has shown that they are powerful predictors of performance at work. Assessments help you to:
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Reasoning Aptitude Paper: Haywood Lewis University of Phoenix Consulting/MGT 527 Catherine Garcia July 21‚ 2013 The Aptitude Test is a good tool to help a person determine strengths and weaknesses. They are very useful for individuals considering joining the military or agencies trying to match candidates in the civilian workforce. Aptitude Tests are classified as speed test and determine how many questions that a person can answer correctly in an allotted time. Speed test are
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In this article we will identify differences in assumptions and conclusions for the following three contributions: “The concept of corporate strategy” By Kenneth Andrews. “The mind of the strategist” By Kenichi Ohmae. “Decision making: It’s not what you think” By H. Mintzberg en F. Westley. “The concept of corporate strategy” By Kenneth Andrews. Corporate strategy is the pattern of decisions in a company that determines and reveals its objectives‚ purposes‚ or goals‚ produces the principal
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