MA2030 589 UNIVERSITY OF MORA TUW A Faculty of Engineering Department of Mathematics B. Sc. Engineering Level 2 - Semester 2 Examination: MA 2030 LINEAR ALGEBRA Time Allowed: 2 hours 2010 September 2010 ADDITIONAL MATERIAL: None INSTRUCTIONS TO CANDIDATES: This paper contains 6 questions and 5 pages. Answer FIVE questions and NO MORE. This is a closed book examination. Only the calculators approved and labeled by the Faculty of Engineering are permitted. This examination
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Montessori Philosophy: The Planes of Development Most people’s idea of how children grow and develop is a steady continuous movement along a path from point A ’’ birth‚ to point B ’’ adulthood. Maria Montessori’s philosophy on how humans learn differs in that she believed learning for children and youth occurred as a series of waves or cycles. After years of observation‚ Montessori concluded there are four distinct planes of development that everyone must pass through on their way to
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37516 0.310mg 1(b) 10 log 105 10 log I I0 I 1012 I 10.5 log 12 10 I 1010.5 12 10 I 0.0316 W / m 2 1(b) ln 3 x ln 5 x ln 3 ln 5 ln 5 x 1.465 ln 3 Common Test / CL1104 / Page 3 Question 2 (a) Given the functions f x 5x 7 and (i) (ii) fg (x) gf (0) 3 2 x 7 5x . g ( x) 2 x ‚ determine the following: x2 2 (7 marks) (3 marks) (b) Solve the inequality Solution 2(ai) 2 x fg ( x) 5 2 7 x 2 10 5 x 7 x 2 14
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Linear programming is a technique which shows practical problems as a series of mathematical equations which can be manipulated to find the optimum or best solution. Blending is a graphical approach to linear programming which deals with resource allocation subject to constraints. It is a model which assists firms in deciding the best possible utilisation of limited resources. Each resource constraint is represented as a mathematical linear equation. A linear expression is an equation which links
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Jasmine Revolution ( Tunisia Revolution): On December 17‚ 2010 the protest started in the city of Sidi when a 26 year old fruit and vegetable vendor burned himself in front of municipal office. In following 3 weeks protests continued Ben Ali dismisses the minister of the interior. The move fails to quiet demonstrations. Ben Ali again came up with large concessions on state TV‚ but clashes grew more violent. State of emergency was declared with same ministries which outburst population even greater
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Curve-Fitting Project – Linear Model: Average Sales Prices of new homes sold in the United States between 1964 and 2008 (LR-1) Purpose: To analyze the average sales prices of new homes sold in the United States from 1964 to 2008. Data: The prices were retrieved from http://www.census.gov/const/uspriceann.pdf. I chose to use the prices between 1964 and 2008 as they showed a huge increase (More data was available (see link)). Average sales prices of new homes sold in the US Year Time (seconds)
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this essay I will be discussing the importance and different aspects of the practical life area in a Montessori classroom. Children are naturally interested in activities they have witnessed‚ therefore Doctor Maria Montessori began using what she called “practical life exercises” to allow the child to do activities of daily life and therefore adapt themselves in their society. Doctor Maria Montessori developed her philosophy of education based upon actual observations of children; she observed that
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introduced the class to linear perspective. Its definition is as follows; linear perspective is a type of perspective used by artists in which the relative size‚ shape‚ and position of objects are determined by drawn or imagined lines converging at a point on the
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1. C (2‚0‚-3‚5‚10) v(0‚1)=1.25 v(1‚2)=1.25 ; v(2‚1) = 1/1.25 = 0.8 v(2‚3)=1+1=2 ; v(3‚2)=1/(1+1)=0.5 v(3‚4)=1+1=2 ; v(4‚3)=1/(1+1)=0.5 The smallest payment at time 1 = 2v(0‚1) + (-3) v(2‚1) + 5v(3‚2)v(2‚1) + 10v(4‚3)v(3‚2)v(2‚1) = 2(1.25) + (-3)(0.8) + 5 (0.5)(0.8) + 10(0.5)(0.5)(0.8) = 2.5-2.4+2+2 = 4.1 The smallest payment you would accept is 4.1. 2. Let K be the initial payment.
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SENIOR CERTIFICATE EXAMINATION FUNCTIONAL MATHEMATICS P1 STANDARD GRADE 2011 MEMORANDUM MARKS: 150 This memorandum consists of 8 pages. Copyright reserved Please turn over Functional Mathematics/SG/P1 2 SCE – Memorandum DBE/2011 VRAAG 1/QUESTION 1 1.1.1 5 3x + 2 25 2x – 1 .5 x-3 .5 1.1.4 4 - 81 + 1250 1 1 2(-) 4() =2 –3 +1 = 2– 1 – 3 3 + 1 1 = – 27 + 1 1 = – 25 1 1.2.1 4.3x = 36 (5) ∴4.3x = 36 4 4 ∴3x = 9 1 ∴3x = 32 1 ∴x = 2 1 1.2.2 16-x
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