PRINTABLE VERSION Final You scored 60 out of 80 Question 1 Your answer is CORRECT. Compute a) b) c) d) e) Question 2 Your answer is CORRECT. Find the values of A and B that will make g(x) continuous. a) b) c) d) e) Question 3 Your answer is CORRECT. Find the derivative of a) b) c) d) e) Question 4 Your answer is INCORRECT. The graph of f ’ (x) is shown below. Give the interval(s) where the graph of f (x) is increasing. a) b) c)
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Chapter 1 c i No x-intercept‚ y = 4 iii y Pre-test 1 a 2x + 1 1 3 c x+ x= x 2 2 f 3x − 7 b 5(x − 1) 1 (x + 4) 3 -5ab -21x -4x + 4 3 ii 0 y=4 d 2x − 3 e a a a a 7x 8y 3x + 3 4m b b b b 6a 7 6 b 7 12 9 a 3 b -2 c 1 10 a y = 2x + 1 b y = -x + 5 c 4 7 d 19 72 Exercise 1A f 21 20 2 3 4 5 4 e 7 c c c c -5x 2 15a 2 -10x + 2x 2 a (0‚ 4) d g c 10 ii 1 4
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Candidate Number: 006343-021 Mathematics Higher Level Type 1: Shadow Functions SHADOW FUNCTIONS The Aim of the Investigation: The overall aim of this investigation is to investigate different polynomials with different powers and create shadow function for each one. Afterwards identify the real and imaginary components of complex zeros from the key points along the x-axis using the method of shadow functions and their generators. Technology Used: Technology that had been used is shown below
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Science Folio Chapter 5 B6D5E1 Title: Importance of maintaining the cleanliness of air Introduction The atmosphere of Earth is a layer of gases surrounding the planet Earth that is retained by Earth’s gravity. The atmosphere protects life on earth by absorbing ultraviolet solar radiation‚ warming the surface through heat retention (greenhouse effect)‚ and reducing temperature extremes between day and night. One of the most important factors drawing international attention which is
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circumference to its diameter or the number of radius squares needed to completely cover a circle exactly. And the area of a circle is the unit squares needed to cover a circle exactly‚ or the space inside the boundaries of a circle. Such revelations prompted the lessons that were soon to follow. All these lessons had one common factor; they focused on a unit centered on a circle. Lesson one was a common lecture in which the teacher used examples and taught the lesson by simply stating the facts
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Reporting II 1 1.4 Analyzing financial statements using ratios 0011 0010 1010 1101 0001 0100 1011 Common size percentage can be applied as follows: a) Other incomes and all expenses are expressed as a percentage of revenue. b) Different items or some totals for assets‚ liabilities and capital are expressed as a percentage of Total Assets. c) All items of cash receipts and payments are expressed as a percentage of say cash flows from operating activities. 1 Accounting and Reporting II 2
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says that the old format is also accepted. However‚ it no longer is preferred. 2. Journal article without DOI (When DOI is not available) -- eight authors or more If there is no DOI number‚ then include a retrieval statement with the journal home URL. NOTE: For students in FSE‚ it is OK to use a standard journal citation with no URL. Jones‚ H. M.‚ McKay‚ J.‚ Alvarado‚ F.‚ Plath‚ E.‚ Jordan‚ A.‚ Porter‚ M.‚ . . . Allsop‚ S. (2005). The attractions of stupidity. Journal of Philosophy‚ 30(2)
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The Concept of Prime Numbers and Zero MTH/110 March 14‚ 2011 The Concept of Prime Numbers and Zero Have you ever wondered about the origins of prime numbers or the numeral zero? The ancient philosophers and mathematicians from such early civilizations in Egypt‚ Greece‚ Babylon‚ and India did. Their efforts have provided the basic fundamentals for mathematics that are used today. Prime Numbers A prime number is “any integer other than a 0 or + 1 that is not divisible without a remainder
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hazards associated with each of the chemicals are noted and recommended procedures for handling are given. Read this page and the description of the experiment before coming into the laboratory‚ noting any potential hazards. When you are satisfied that you understand any possible difficulties that might arise and the recommended procedures for dealing with them‚ sign the declaration and have it initialled by a demonstrator. Be sure to request information or help if you are in doubt on any point
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when particles obtained cannot be divided further. Democritus called these indivisible particles atoms (meaning indivisible). How and why elements combine and what happens when they combine. Antoine L. Lavoisier laid the foundation of chemical sciences by establishing two important laws of chemical combination. (a) The Law of conservation of mass states that mass can neither be created nor destroyed in a chemical reaction. (b) The law of constant proportions which is also known as the law of
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