Cartesian Coordinate System 4. Straight Lines 5. Functions and their Graphs 6. The Algebra of Functions 7. Functions and Math Models 8. Limits Test 1 9. The Derivative 10. Basic Rules of Differentiation 11. The Product and Quotient Rules 12. The Chain Rule 13. Marginal Functions in Economics 14. Higher-Order Derivatives 15. Implicit
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1. The perimeter of this rectangular field is 220 m. One side is x m as shown. Wm xm (a) Express the width (W) in terms of x. (b) Write an expression‚ in terms of x only‚ for the area of the field. (c) If the length (x) is 70 m‚ find the area. Working: Answers: (a) ………………………………………….. (b) ………………………………………….. (c) ………………………………………….. (Total 4 marks) 1 2. The diagram shows the graph of y = x2 – 2x – 8. The graph crosses the x-axis at the point A‚ and has a vertex at B. y A x O B (a)
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Alternative Optimal Solutions 7 10‚11‚15 Infeasibility 4 14 Unbounded 4 11 Spreadsheet Example 2 REVIEW 1. A mathematical programming problem is one that seeks to maximize an objective function subject to constraints. If both the objective function and the constraints are linear‚ the
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Staffing has been an important aspect in an organization’s performance. They are: 1. Staffing enhances other managerial functions: The Staffing function is very closely related to other managerial areas of the business. It influences the direction and control in the organization. The effectiveness of the other managerial functions depends on the effectiveness of the staffing function the organization performs. 2. Training and development: Staffing in an organization provides training and development
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How "Araby‚" "The Hunger Artist‚" and popular TV’s "Here Comes Honey Boo Boo" relate. The Araby is a short narrative telling the story of a young boy‚ pursuing to get the love of his friend’s sister. The un-named boy lives day by day fantasizing about it. On a daily basis he wakes up to watch the girl as she leaves the house‚ he follows her when going to school and at some point by passes her. This goes on every day without a word to her. He is overly excited when the girl finally speaks to him
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WORKSHEET MOLE By Sir Shah Murtaza Q1. Potassium reacts with water as shown in the equation. a. Describe what you would see when potassium reacts with water. b. A sample of 0.195 g of potassium was added to 500 cm3 of cold water. When the reaction was finished‚ 100 cm3 of 0.100mol/dm3 hydrochloric acid was added to form solution X. (i) Calculate the number of moles of hydroxide ions formed when the potassium was added to water. (ii) Calculate the
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head: THE ROLE AND FUNCTIONS OF LAW The Role and Functions of Law The Role and Functions of Law Before one begins to ask what the roles and functions of law in business and society consist of‚ one needs to begin by asking for the clear definition of‚ what is law? And how does it pertain to you and the society in which you live in? By definition law is a system of rules a society sets to maintain order‚ protect harm to individuals and property. Law works as several functions and roles in business
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The number of ways in which the club can be lightened to different amounts of illumination is A. 102 B. 1023 C. 210 D. 10! 6. units The area bounded by the curves y = x - 1 and y = - x + 1 is B. 4 sq. units C. 6 sq. units D. 2 sq. units A. 3 sq. 7. Everybody in a room shakes hands with everybody else. The total number of handshakes is 66. The total number of persons in the room is A. 11 B. 12 C. 13 D. 14 8. If a‚ b‚ c are in G. P. and a‚ b‚ c are positive‚ then the following relation holds A.
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Quadratic Function MCR3U1 (Nature of the Roots) MINDS ON... The demand to create automotive parts is increasing. BMW developed three different methods to develop these parts. The profit function for each method is given below‚ where y is the profit and x is the quantity of parts sold in thousands: PROCESS A: P(x) = -0.5x2 + 3.2x –5.12 PROCESS B: P(x) = -0.5x2 + 4x – 5.12 PROCESS C: P(x) = -0.5x2 + 2.5x – 3.8 The graphs of the corresponding profit functions are shown
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Boolean Functions - Computer Organization (IT 25) BOOLEAN FUNCTIONS A Boolean function consists of a binary variable denoting the function‚ an equals sign and an algebraic expressions formed by using binary variables the constants 0 and 1‚ the logic operation symbols‚ and parentheses. For a given value of the binary variables‚ Boolean function can be equal to either 1 or 0. Example: F = X + Y’Z The two parts of the expression X and Y’Z‚ are called terms of the function F. The function F is
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