v1.1 Centre Number Surname Other Names Candidate Signature Candidate Number General Certificate of Secondary Education Information and Communication Technology Unit 3 Practical Problem Solving in ICT 45203/CB2 Candidate Booklet: Problem 2 Valid for examination in 2011‚ 2012 and 2013 It is recommended that you spend 25 hours in completing this problem. Before starting work on the problem‚ read the whole of this Candidate Booklet thoroughly. There are restrictions on when
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1998 9 14 1. 1.1 Markov Property 1.2 Wiener Process 1.3 2. 2.1 2.2 2.3 2.4 2.5 2.6 Taylor Expansion 2.7 3. Stochastic 3.1 3.2 SDE(Stochastic Differential Equation) 4. Stochastic 4.1 Stochastic integration 4.2 Ito Integral 4.3 Ito Integral 4.4 5. Ito’s Lemma 5.1 Stochastic 5.1.1 5.1.2 5.1.3 First Order Term Second Order Term Cross Product Terms “ ” – Ito Integral Riemann (Ordinary Differential Equation) (Chain rule) 5.2 Ito’s Lemma 6. 6.1 6.1.1 6.1.2 Closed-Form Solution Numerical Solution
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Centre Number Candidate Number General Certificate of Secondary Education 2013 Mathematics Unit T4 (With calculator) Higher Tier *GMT31* [GMT41] *GMT41* TUESDAY 11 JUNE‚ 9.15 am – 11.15 am TIME 2 hours. INSTRUCTIONS TO CANDIDATES Write your Centre Number and Candidate Number in the spaces provided at the top of this page. You must answer the questions in the spaces provided. Do not write outside the box‚ around each page‚ on blank pages or tracing paper. Complete
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along x-direction and - 4 cm/s along y-direction at the point (3‚ 2). Given that the temperature of the plate at points in the xy-plane is T ( x‚ y ) = y 2 ln x‚ x ≥ 1 in degree Celcius‚ at what rate is the temperature changing at the point (3‚ 2)? (7 marks) ∂z ∂z and using implicit differentiation Given F ( x‚ y ‚ z ) = sin( y + z ) − x = 0 ‚ find ∂x ∂y formula. (5 marks) 9th August 2008 [Total marks : 45] Questions Q1 (a) Answer D = {( x‚ y ) : x ∈ ‚ y ∈ R = { z : z ≥
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Matrix:_______________________________ INSTRUCTIONS This exam booklet contains five (5) questions (including one bonus question) Answer the FIRST FOUR questions; the bonus question is an option. Show all your works clearly. This booklet contains seven (7) printed pages. 1 a) List and describe briefly all the special matrices? (10 marks) b) Let matrix A represent the sales (in thousands of dollars) of motorcycle company in 2004 in three cities‚ and let B represent the sales in the same cities in
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is not permitted by HIPAA without the consumer’s permission? PG 415-417 Not Disclosures made in emergency circumstances 6. Long-term care administrators are subject to two types of liability‚ professional liability and: ***General liability 7. Stakeholders are those individuals who have a financial stake in the organization. False 8. The term “legacy” when describing hardware and processing systems refers to systems that: PG 421 underlined Not are destined to remain in place for many
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solution graphically. (6 marks) 7. Rationalize 6 3+ 2 and express the answers with the simplest surd form. (5 marks) 8. 9. Solve 27 2 x −1 = 9 x . In a class‚ there are 20 boys and n girls. are 71‚ 62 and 67 respectively. (a) (b) Find the value of n. After mark adjustment‚ each of the mark of x students is increased by 1. If the new mean mark is 67.25‚ find the value of x. (5 marks) In a test‚ the mean mark of boys‚ girls and the whole class (7 marks) F.3 First Term Exam
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Households provide Entrepreneurship to the Business sector in exchange for Profits. 6. In the Product Markets of the Circular Flow model‚ Households provide Consumption Spending (or Revenues) to the Business sector in exchange for Goods and Services. 7. Over a reasonable period of time a nation must choose to balance its trade within the global markets in order to prosper. 8. Allocation is concerned with how we choose to use our scarce resources on a limited variety of projects. 9. Stability is the
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will NOT necessarily be awarded full marks. 5. You may use an approved scientific calculator (non-programmable and nongraphical)‚ unless stated otherwise. 6. If necessary‚ round off answers to TWO decimal places‚ unless stated otherwise. 7. THREE diagram sheets for QUESTION 2.1‚ QUESTION 2.2‚ QUESTION 9.2‚ QUESTION 10.1‚ QUESTION 10.2 and QUESTION 11.2 are attached at the end of this question paper. Write your name on these diagram sheets in the spaces provided and insert them inside
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straight lines because curved line could not be drawn in the wet clay. They used these tablets to aid in the calculations of problems. They studied math with the help of these tablets. They studied in mathematics because having a peaceful nation they had no need to specialize in military and warfare‚ so they learned math and discovered new forms of math. A tribe known as the Kassites began to attack Babylonia when Hammurabi’s son ruled the empire. Over the centuries‚ the Kassites weakened Babylonia
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