Simplification The process of cancelling (reducing) e.g. ‚ **e.g.1 remember that exponents are subtracted Clearing one of the most common errors‚ an important “cancellation” rule: only factors may be cancelled Factors multiply‚ terms add and subtract First count terms … > 1 term means that there is only 1 factor‚ the whole expression. **e.g.2 1. 1 term‚ 3 factors 2. 2 terms‚ 1 factor 3. 2 terms‚ 1 factor‚ BUT … 1 term‚ 2 factors 4. 1 term‚
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3 significant figures. 1. 2. Time allowed: 1.5 hours Simplify 2 8 + 24 . x 2 − 5x − 6 ‚ x 3 − 27 . ( ) (4 marks) Factorize (a) (b) (4 marks) (4 marks) 3. Write FB116 in the expanded form and convert it to a decimal number. 4. && Express 0.8964 in the form a where a and b are positive integers. b (4 marks) 5. Peter deposits $P in a bank at a rate of 2% p.a. compounded monthly. 2 years is $208964‚ find‚ correct to the nearest integer‚ the value of P
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Math Practice Lab Pre-Lab Questions: 1. The rules concerning handling significant figures are as follows: When dividing/multiplying The answer has no more significant digits than the number with the fewest significant digits (the least precise figure). Round off after calculations have been performed. When adding/subtracting Answer has no more places than the addend‚ minuend‚ or subtrahend with the fewest number of decimal places. Significant figures are irrelevant when adding/subtracting
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Motivation in Learning By Muhammad Haibat Khan Education and learning are one of the most important ingredients to becoming all that you can be. How open you are to learning will help determine your path in life. Education and learning are one of the most important ingredients to becoming all that you can be. How open you are to learning will help determine your path in life. Education does not just happen at school. It is not just about Math and other subjects. Your education and
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points) A random sample of 100 automobile owners shaws that‚ in the state of Virginia‚ an automobile is driven on the average 23500 kilometers per year with a standard deviation of 3900 kilometers. Construct a 99% confidence interval for the average number of kilometers an automobile is driven annually in Virginia. Sol: 99% confidence interval‚ z distribution can be used N=100 ̅ ̅ ̅ √ √ 3. (9-58) An article in the ASCE Journal of Energy Engineering (1999‚ Vol. 125‚ pp. 59–75) describes
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IA Task I Introduction and purpose of task: The purpose of this task is to investigate the positions of points in intersecting circles and to discover the various relationships between said circles. Circle C1 has center O and radius r. Circle C2 has center P and radius OP. Let A be one of the points of intersection of C1 and C2. Circle C3 has center A and radius r (therefore circles C1 and C3 are the same size). The point P’ (written P prime) is the intersection of C3 with OP. This is shown in
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[pic] A parallelogram is a quadrilateral in which pairs of opposite sides are parallel and are congruent. Opposite sides are parallel and equal in length‚ and opposite angles are equal (angles "a" are the same‚ and angles "b" are the same) NOTE: Squares‚ Rectangles and Rhombuses are all Parallelograms! Name the kind of parallelogram this figure displays? Example 1: [pic] |[pic] |A parallelogram with: | |
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Sullivan’s Handbags marks up their bags at 45% of the selling price. Pat Sullivan saw a bag at a trade show that she would sell to her customers for $85. What is the most she could pay for the bag and still retain the 45% markup of the selling price? 6. Jeff Jones earns $1‚200 per week. He is married and claims four withholding allowances. The FICA rate is as follows: Social Security rate is 6.2% on $97‚500; Medicare rate is 1.45%. To date his cumulative wages are $6‚000. Each paycheck‚
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Treasure Hunt: Finding the Values of Right Angle Triangles This final weeks course asks us to find a treasure with two pieces of a map. Now this may not be a common use of the Pythagorean Theorem to solve the distances for a right angled triangle but it is a fun exercise to find the values of the right angle triangle. Buried treasure: Ahmed has half of a treasure map‚which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map
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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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