NATIONAL SENIOR CERTIFICATE GRADE 11 MATHEMATICS P2 EXEMPLAR 2013 MARKS: 150 TIME: 3 hours This question paper consists of 12 pages and 3 diagram sheets. Copyright reserved Please turn over Mathematics/P2 2 NSC – Grade 11 Exemplar DBE/2013 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of 11 questions. 2. Answer ALL the questions. 3. Clearly show ALL calculations
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orange juices‚ and we also used 0.1% of vitamin C solution. The aim of our experiment was to see how much DCPIP was needed to be added to make the orange juices turn back to the orange colour and the DCPIP to decolourise once the 0.1% of vitamin C was added. DCPIP is a blue dye in its non-reduced form; it becomes colourless when it gains electrons. Vitamin C is an anti – oxidant‚ this is found mainly in fresh fruit and vegetables. The main use of Vitamin C is that it neutralises free radicals‚ which
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Mathematics WORKED SOLUTIONS FOR CSEC® EXAMINATIONS 2006 –2010 DEREK MCMONAGLE CSEC® is a registered trade mark(s) of the Caribbean Examinations Council (CXC). MATHEMATICS Worked Solutions for CSEC® Examinations 2006–2010 is an independent publication and has not been authorized‚ sponsored‚ or otherwise approved by CXC. 9780230407381_FM.indd 1 9/15/10 9:22 AM Macmillan Education Between Towns Road‚ Oxford‚ OX4 3PP A division of Macmillan Publishers Limited Companies and representatives
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example‚ this way we will maintain our system implemented by different techniques and tools like: * Trainings on C-TPAT * Security processes described * Security Controled and Registred. * Technology of innovation * Personnel recruited * Internal Audits * Selection of business partners Since we look for implementation and development of the program of security C-TPAT we must fulfill some requirements to maintain a greater security in all the chain of supplies. Thus we have
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(2 marks) b. Sketch the contour map of the function f ( x‚ y ) using three level curves‚ c = 1‚ 2‚ 3 . (4 marks) c. Use 3D-contour map to sketch roughly the surface of f ( x‚ y ) . (2 marks) 2 4 x2 − y 2 ‚ x2 + 2 y 2 f ( x‚ y ) along x- axis and y-axis‚ Given the function f ( x‚ y ) = a. find the lim ( x ‚ y )→(0‚0) (4 marks) b. does the lim ( x ‚ y )→(0‚0) f ( x‚ y ) exist? (1 marks) c. is the function f ( x‚ y ) continuous? (2 marks) 3 Given the function f ( x‚ y ) = cos(
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C programs 1. Program to print text 2.Program To Read Two Numbers And Print The Sum Of Given Two Numbers. 3.Program To Accept Student Roll No‚ Marks in 3 Subjects and Calculate Total‚ Average and Print it. 4.Program To Read Three Numbers And Print The Biggest Of Given Three Numbers 5.Program To Read A Number And Find Whether The Given Number Is Even Or Odd. 6.Program to accept a year and check whether the given year IS leap year or not. 7.Individual Digits 8. Program to accept a three digit number
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mathematics extends into other areas of life. While some people may think of mathematics and art as being two separate entities‚ Math is very present in many artistic endeavors. Music‚ commonly referred to as an art‚ would not be possible without the relationship it shares with mathematics. In many different ways‚ math is an important part of music theory. One way that math and music theory are intertwined is within a theory of mathematics called Geometrical Music Theory. Clifton Callender‚ Ian Quinn
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Determine the sampling distribution of the sample mean for samples of size 60. b . Repeat part (a) for samples of size 120. c . Must you assume that the blood glucose levels are normally distributed to answer parts (a) and (b)? Explain your answer. Ans: a . Approximately normally distributed with mean 4.60 and standard deviation 0.021. b . Approximately normally distributed with mean 4.60 and standard deviation 0.015. c . No‚ because‚ in each case‚ the sample size exceeds 30. 2. Diamond Pricing . In a Singapore edition of Business Times
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CHAPTER 2 WHOLE NUMBERS What have we discussed? 1. The number 1‚ 2‚ 3… which use for counting are known as natural number. 2. If you add 1 to a natural number‚ we get its successor‚ if you subtract 1 from a natural number‚ you get its predecessor. 3. Every natural number has a successor. Every natural number except 1 has a predecessor. 4. If add the number zero to the collection of the natural numbers‚ we get the collection of whole numbers. Thus‚ the number 0‚ 1‚ 2‚
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Writing algorithms for simple problems‚ Space complexity‚ Time complexity‚ Definition of flowchart‚ Flowchart symbols‚ Writing flowcharts for simple problems 6 hrs 3. C++ Fundamentals The C++ character set‚ identifiers and keywords‚ data types‚ variables‚ declarations‚ statements‚ C++ program structure‚ Simple I/O operations. 3 hrs 4. Operators and Expressions Operator precedence and associativity‚ arithmetic operators‚ relational operators‚ logical operators
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