Time Frame | Objectives | Topics/ Content | Concept/s | Competencies | Teaching Strategy | Values | List of Activities | Materials | Evaluation | References | First Quarter | -Define functions and give examples that depict functions-Differentiate a function and a relation-Express functional relationship in terms of symbols y=f(x)-Evaluate a function using the value of x. | Chapter 1Functions and GraphsFunctions and Function Notations | The equation y=f(x) is commonly used to denote functional relationship
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plt.plot(X‚ Y‚’o’) plt.plot(x_index‚ y_index‚label = ’fitted polynomial by QR factorization (n=0)’) plt.xlabel(’Wins’) plt.ylabel(’Payroll’) plt.legend() plt.show() # n = 1 A=np.ones((m‚2)) A[:‚1] = X Q‚ R = la.qr(A) y=Q.transpose().dot(Y) x2=la.solve(R[0:2‚0:2]‚y[0:2]) x_index= np.linspace(650‚ 1000‚ 256‚ endpoint=True) y_index=x2[0]+x2[1]*x_index plt.plot(X‚ Y‚’o’) plt.plot(x_index‚ y_index‚label = ’fitted polynomial by QR factorization (n=1)’) plt.xlabel(’Wins’) plt.ylabel(’Payroll’)
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CHAPTER ONE INTRODUCTION 1.1 BACKGROUND OF STUDY: According to concise encyclopaedia of science and technology (2004); Mathematics is not a branch of science‚ it’s the language of science in a deep sense‚ an indispensable medium by which and within which science expresses‚ formulates‚ continues and communicates itself. Mathematics is frequently encountered in association and interaction with astronomy‚ physics and other branches of natural science and it also has deep rooted affinities to the
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un) n S n u1 u n 2 Derivations 2S n u1 n 2S u1 n u n n 2S n n u1 u n un Geometric Sequences Definition: A geometric sequence is a sequence in which each term can be obtained from the previous one by multiplying by the same non-zero constant. {un} is geometric if and only if u n 1 r ‚ n where r is a constant. un Information Booklet u n u1 r n 1 Proof: u n 1 r un u n r u n 1 un u n 1 u n 1 r u1 r n
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Some Applications of Coding Theory in Cryptography ii CIP-DATA LIBRARY TECHNISCHE UNIVERSITEIT EINDHOVEN Doumen‚ Jeroen M. Some applications of coding theory in cryptography / by Jeroen M. Doumen. – Eindhoven : Technische Universiteit Eindhoven‚ 2003. Proefschrift. – ISBN 90-386-0702-4 NUR 919 Subject headings : cryptology / coding theory / prime numbers 2000 Mathematics Subject Classification : 94A60‚ 11T71‚ 11A41 Printed by Eindhoven University Press. Cover by JWL Producties. Kindly supported
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of the following is irrational: [Marks:1] A. B. C. D. 2] Find the value of p such that (x -1) is the factor of the polynomial x3+10x2+ px . [Marks:1] A. p = 7 B. p = -7 C. p = 11 D. p = -11 3] Find remainder when is divided by [Marks:1] A. -1 B. 1 C. 2 D. Zero 4] What are the two factors of quadratic polynomial ? [Marks:1] A. (x+8) and (x-8) B. (x+16) and (x-4) C. (x-16) and (x-64) D. (x-8) and (x-8) 5] Given lines l1 l2 and l3 in
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September 3‚ 2012 NURBS CURVE MATHEMATICAL REPRESENTATION AND NURBS BASE INTERPOLATION TECHNIQUES FOR CNC PROGRAMMING Biruk Mamo Wodaj Page 1 of 33 ABSTRACT This term paper is prepared to partially fulfill a requirement of graduate studies program in industrial engineering for the course „FLEXIBLE MANUFACTURING SYSTEMS‟. The term paper studies on NURBS (Non-Uniform Rational B-Splines) curve Mathematical Representation and NURBS based Interpolations Techniques for CNC programming. Because of
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Sustainability and Calculus Introduction and Preview Calculus is all about change. Calculus provides the mathematical tools to examine important questions about dynamic behavior; e.g. how fast is the world population increasing? If we continuously release a pollutant into a lake at a known rate‚ what’s the total amount of pollutant that will be dumped into the water in the next five years? How long will the nonrenewable supplies of coal and oil last if we maintain the current per capita
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the entire town did. Everyone in the town was so scared that they didn’t know what to do. Vertex then finally decided to go find a definite and accurate solution. He asked their town’s chief‚ Polynomial Function‚ for the best advice he can give to Vertex so that the time will rotate normal again. Polynomial Function advised him‚ “Our town had been cursed by unknown witch ever since. It occurs every ten years. In order to break that curse‚ you must find all the six presents that are scattered around
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Financial Polynomials MAT 221 Introduction to Algebra Instructor: Neal Johnson April 7‚ 2013 Problem 1 p=200 r=10 n=1 p(1+r)1 Reorder the polynomial 1+r alphabetically from left to right‚ starting with the highest order term. p(r+1) Multiply p by each term inside the parentheses. pr+p Replace the variable r with 10 in the expression. p(10)+p Replace the variable p with 200 in the expression. (200)(10)+(200) Divide 200 by 10 to get 20. This will be
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