Objective To prove Distance formula = by experimentally Pre-knowledge We know Pythagoras Theorem Area of triangle Some Knowledge about coordinate Rules for signs of Co-ordinates Axes of Co-ordinates Geometrical Representation of quadratic polynomials Material Required Coloured Glazed paper Pair of scissors Geometry box Graph paper Drawing sheet Colour stick Pencil colour Fevistick/ Gum Procedure Let two points P(x1‚y1) and Q(x2‚y2) on graph sheet. And draw a set of perpendicular
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Graded Assignment Unit Test‚ Part 2: Polynomials and Power Functions Answer the questions. When you are finished‚ submit this assignment to your teacher by the due date for full credit. (8 points) 1. Solve the equation . Check your solution(s) and state the final solution set. Show all your work. Answer: (8 points) 2. Use successive differences to classify the function represented in the table. Show all your work. x –2 –1 0 1 2 h(x) 14 5 2 5 14 Answer: (9 points) 3. For the
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we can interpolate these points‚ i.e.‚ either find a polynomial of degree ≤ (n − 1) which passes through all n points or we can use a continuous piecewise interpolant of the data which is usually a better approach. How‚ it might be the case that we know that these data points should lie on‚ for example‚ a line or a parabola‚ but due to experimental error they do not. So what we would like to do is find a line (or some other higher degree polynomial) which best represents the data. Of course‚ we need
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special products help us factor polynomials? Give examples. 1. Linear system in two variables can be written in the form: a x + b y = p c x + d y = q - If a‚ b‚ p – and – c‚ d‚ q are real numbers ( if a‚ b and c‚ d are not both equal to 0) - x and y are called two variables. 2. Linear system of inequality in two variables can be written in the form: a x + b y a x + b y p a x + b y p a x + b y p 3. The special products help us factor polynomials Difference of Squares: a2 −
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Thin-Walled Structures 48 (2010) 879–887 Contents lists available at ScienceDirect Thin-Walled Structures journal homepage: www.elsevier.com/locate/tws Analytical solution to flexural responses of annular sector thin-plates Kyungsik Kim a‚ Chai H. Yoo b‚n a b Department of Civil and Environmental Engineering‚ Cheongju University‚ Cheongju‚ Chungbuk‚ 360-764‚ Republic of Korea Department of Civil Engineering‚ Auburn University‚ Auburn‚ AL 36849-5337‚ USA a r t i c l e in fo abstract
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TEST/PMT /MCA ENTRANCE TEST/MBA ENTRANCE TEST etc etc Method for multiplying numbers where the first figures are same and the last figures add to1 0 . 42 x 48 = Both numbers here start with 4 and the last figures (2 and 8) add up to 10. just multiply 4 by 5 (the next number up) to get 20 for the first part of the answer. And we multiply the last figures: 2 x 8 = 16 to get the last part of the answer Method for multiplying numbers where the first figures add up 10 and the last figures are
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~~~~~~~~~~~~~~~~~~~~ www.MathWorks.ir ~~~~~~~~~~~~~~~~~~~~ An Introduction to Programming and Numerical Methods in MATLAB ~~~~~~~~~~~~~~~~~~~~ www.MathWorks.ir ~~~~~~~~~~~~~~~~~~~~ S.R. Otto and J.P. Denier An Introduction to Programming and Numerical Methods in MATLAB With 111 Figures ~~~~~~~~~~~~~~~~~~~~ www.MathWorks.ir ~~~~~~~~~~~~~~~~~~~~ S.R. Otto‚ BSc‚ PhD The R & A St Andrews Fife KY16 9JD Scotland J.P. Denier‚ BSc (Hons)‚ PhD School of Mathematical Sciences
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logarithms to logarithms in a finite field”. Proceedings of the twenty-third annual ACM symposium on Theory of computing. Annual ACM Symposium on Theory of Computing. ACM Press‚ 1991: p 80 – 89. Satoh‚ T. and Araki‚ K. “Fermat quotients and the polynomial time discrete log algorithm for anomalous elliptic curves”. Commentarii Mathematici Universitatis Sancti Pauli 47‚ 1998: p 81 – 92. Semaev‚ I. A. “Evaluation of discrete logarithms in a group of p-torsion points of an elliptic curve in characteristic
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Working with whole numbers help you when are adding and subtracting hundreds and thousands of dollars. Then you might have to round up numbers when you are counting money. Multiplying whole numbers are very important‚ it is a repeating of addition. You have to budget Money. Dividing whole number comes when you are multiplying whole numbers II. Body: A. Whole Numbers 1. Place value‚ Name for Numbers and Reading Tables a. Finding the Place Value of a Digit in a Whole Number b. Writing
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Differential Equations Second Order Differential Equations Introduction In the previous chapter we looked at first order differential equations. In this chapter we will move on to second order differential equations. Just as we did in the last chapter we will look at some special cases of second order differential equations that we can solve. Unlike the previous chapter however‚ we are going to have to be even more restrictive as to the kinds of differential equations that we’ll look at
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