UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level MATHEMATICS Paper 1 Pure Mathematics 1 (P1) 9709/12 May/June 2013 1 hour 45 minutes Additional Materials: Answer Booklet/Paper Graph Paper List of Formulae (MF9) *2740852128* READ THESE INSTRUCTIONS FIRST If you have been given an Answer Booklet, follow the instructions on the front cover of the Booklet. Write your Centre number, candidate number and name on all the
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Supplementary Notes Chapter 3 Section 3.2: Polynomial Function of Higher Degree A polynomial function P is given by , where the coefficients are real numbers and the exponents are whole numbers. This polynomial is of nth degree. Far-Left and Far-Right Behavior The behavior of the graph of a polynomial function as x becomes very large or very small is referred to as the end behavior of the graph. The leading term of a polynomial function determines its end behavior. x becomes very large
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MANUAL TUGASAN PELAJAR :MATEMATIK UNTUK EKONOMI DAN PENGURUSAN FUNCTION Concept and Definition 1. Determine the domain and range for each of the given function, (a) f x x 1 Answer: Since it is undefined for –ve values, it must be that x - 1 0 ie x 1 1 Domain , (b) f x 1 x 4 2 Answer: f (x) is undefined if x 2 4 0 , ie x 2 x 2 0 x = 2 or x = -2 The domain is all Real Numbers except 2 and -2. domain , 2 atau 2,
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EXAM JULY 26, 2013 Name: This exam consists of 8 questions and 1 bonus question. Show all your work. No work, no credit. Good Luck! Question Points Out of 1 18 2 20 3 18 4 15 5 8 6 8 7 14 8 7 9(Bonus) 7 Total 115 18 points 1. For the function f (x) = x3 − 6x2 + 9x − 3 (a) find f (x). (b) determine all the critical points of f. (c) find the intervals where f is increasing and where it is decreasing. (d) classify each critical point as relative maximum or minimum. (e) Find f (x)
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difference between symmetric and asymmetric key cryptography. Provide an example where each is used. Pg. 282/283. Those that use the same key to encrypt and decrypt are private (symmetric) key ciphers. Those that use different keys to encrypt and decrypt are public (asymmetric) key ciphers. Symmetric key cryptography cannot secure correspondence until after the two parties exchange keys. Asymmetric key cryptography uses a cipher with two separate keys. One is for encryption and one for decryption
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OTHER TYPES OF KEYS Gib-head keys are square or flat and tapered with a head. The head should not be left exposed so that there is danger that it will catch on workmen’s clothing, possibly resulting in serious injury. Pin key may either straight or tapered. It is usually a drive fit. Longitudinal assembly at the end of a shaft is easy to do, and in this position, it can transmit heavy power ; size, about one-fourth of the shaft diameter. Rollpin® one of several patented methods of keying, is
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In/Out. • AC Connector. • Power Switch. • Ground Screw. • Cooling Vent. • Phones Level Control. • Phones Out. Functions of the LS9 This section is a brief breakdown of the devices functions; what are they, what are they used for & how to use them. Some of the functions are similar to other sound desks so explanations of depth are not required. Any queries of functions that aren’t explained in this guide can be searched for in the Yamaha LS9 manual: http://www.yamaha.co.jp/manual/english/result
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data is recorded in more than one place in the same database. You have more than one database devoted to the same thing. 2. Which statement best describes the function of a primary key? It uniquely identifies each record. 3. Which statement best describes the function of a foreign key? A foreign key is the primary key of one table repeated in another table in order to create a relationship between the tables. 4. What is SQL? It is the language relational databases use to
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Computer Science Chapter 1: Introduction to Computer Hardware Different Categories of Computer and Computing Devices Tablets The lightest and most portable Touch interface, good for “light” work Laptops/Notebooks Larger display area; adds CD or DVD as well as physical keyboard They are portable; price for performance is not as good as desktop, choice of hardware is limited Specialized Variant Laptops Ultrabooks Thinner, and lighter than laptops Cost is higher than laptop (all
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Management role is key to the environment of a business and the following functions within the business falls under the Umbrella of management. Planning, control, and performance measurement, and decision- making are typical functions that management should handle. All of these functions or tools are critical and needed to operate a business successfully and a manager should be concerned with the cost volume profit, which allows management to have visual information on the functions that fall under
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