NATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12 MATHEMATICS P3/WISKUNDE V3 NOVEMBER 2013 MEMORANDUM MARKS/PUNTE: 100 This memorandum consists of 14 pages. Hierdie memorandum bestaan uit 14 bladsye. Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief Mathematics P3/Wiskunde V3 2 NSC/NSS – Memorandum DBE/November 2013 NOTE: • If a candidate answered a question TWICE‚ mark only the first attempt. • If a candidate crossed
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Common Course Plan |Course (Long) Name: IB Calculus |Course Code: MA962/MA971 (02132G) | |Course (Short) Name: IBCALCULUS |Course Unit Value: 1 credit (0.5 x 2 semesters) | |Curricular Content Area: Mathematics |Licensure Requirement: 400 | |As of: June 22‚ 2012
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generalisations can be made between mathematical concepts. Furthermore‚ this report shall examine how teaching and learning theories influence the way in which we understand maths through the process of problem solving‚ generalisations‚ assumptions and proof‚ and also the common errors and misconceptions that may result from this. THE HISTORY OF MATHS From around 2000BC the Babylonian civilisation brought a style of mathematics which succeeded the Sumerian-Akkadian system following their invasion of Mesopotamia
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MA1506 TUTORIAL 1 1. Solve the following differential equations: (a) x(x + 1)y = 1 (b) (sec(x))y = cos(5x) (c) y = e(x−3y) (d) (1 + y)y + (1 − 2x)y 2 = 0 Use www.graphmatica.com to sketch the functions you found as solutions of [a]-[d]‚ if y = 1/2 at x = 1. Graphmatica can also directly sketch the graph if you insert the equation itself; for example‚ in [a] you just enter x(x + 1)dy = 1 {1‚ 1/2}. [curly brackets for the initial conditions‚ with x followed by y.] Here dy represents
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* Question 1 0 out of 5 points | | | Which of the following offers the greatest protection against bot attacks? Answer | | | | | Selected Answer: | Having corporations use adequate anti-virus protection | | | | | * Question 2 5 out of 5 points | | | In 2004‚ ICQ users were enticed by a sales message from a supposed anti-virus vendor. On the vendor’s site‚ a small program called Mitglieder was downloaded to the user’s machine. The program enabled outsiders to
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MANAGERIAL ECONOMICS MIDTERM EXAMINATION 1. Define and explain the use of indifference curves. Why are firms increasingly sensitive to the application of indifference curves in today’s economy? How does one construct and interpret indifference maps for purposes of corporate strategy? Define and explain the use of indifference curves. “An indifference curve illustrates the various combinations of two goods [or groupings of commodities] that would provide equal satisfaction.” i Therefore
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Name________________________ Student #_____________________ MGT 181 L. Jean Dunn‚ Jr. MIDTERM EXAMINATION PLEASE SHOW YOUR WORK. IF YOUR WORK IS NOT SHOWN YOU WILL NOT RECEIVE ANY PARTIAL CREDIT 100 Total Points 1. “Most CEOs come from a finance background. The reason for this is because they know and understand the financials‚ how the company operates and the language of finance which assists in fund raising.” Please state whether the state whether the statement above is True or
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SOLUTIONS Introductory Financial Accounting Midterm Exam Professor Yanfeng Xue Note: 1. You have 90 minutes to finish this exam. The total score for this exam is 100 points. Please use your time wisely. 2. Please show your work because I do give partial credit. 3. If you cannot remember the name of a particular account‚ do your best at guessing and at least indicate the type of the account (asset‚ retained earnings‚ etc.) 4. Good luck!
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America ranks thirty-second in math. It is because students fail to see the benefits of math. The average scholar is more interested in extracurricular activities. While these activities are enjoyable and can be educational‚ we must not stray away from the core subjects. Out of the core subjects’ math ranks supreme in most aspects. Math can be cumbersome at times‚ yet it allows for a more enjoyable job and life. When it comes to school subjects‚ Math is the superior choice since
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References: http://keisan.casio.com/has10/SpecExec.cgi?id=system/2006/1223372110 - Used for KAP 3 New Q Maths by R. Brodie and S. Swift P258 http://www.physicsforums.com/showthread.php?t=638735 – Mark 44 post #5 – “Here’s why…” – used for MAPS 3 and 4 TO DO Re-do graphs - maps 2‚ 3‚ 4 Label graphs - maps 3 Printing money
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