which relation is a function? State your reason. Part 2 a) You are required to come out with an attractive and creative card. Your card must have the following information. i) a family photo ii) a family tree b) Write a short description about your family in not more than 150 words. Part 3 Based on Diagram 3‚ answer the following questions. Diagram 3 Find a) function [pic] and function [pic]. b) the inverse function [pic] and [pic]
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and a function. How can you determine when a relation is a function? * -A relation is a set of ordered pairs and a function is the relation of the first component of a pair to the second component of the same pair. * -A relation is a function when a domain value of X only maps to one range value of Y. * Explain how to determine the domain and range of a function. * -A set of ordered pairs have a first component which is the domain of a function. The second set in the function is
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ECM2105 - Control Engineering Dr Mustafa M Aziz (2010) ________________________________________________________________________________ TRANSFER FUNCTIONS AND BLOCK DIAGRAMS 1. Introduction 2. Transfer Function of Linear Time-Invariant (LTI) Systems 3. Block Diagrams 4. Multiple Inputs 5. Transfer Functions with MATLAB 6. Time Response Analysis with MATLAB 1. Introduction An important step in the analysis and design of control systems is the mathematical modelling of the controlled
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Functions in SQL SERVER We have 2 types of functions in Sqlserver. They are 1. System Functions---Built-in functions 2. User defined Functions We can differentiate built-in functions following. 1. Single Row Functions 2. Group Functions Single row Functions Mathematical Functions String Functions Date and Time functions Mathematical Functions 1. ABS Select ABS (10) Select ABS (-10) Select ABS (0) 2. Ceiling Select Ceiling (15.6) Select Ceiling (15.2) Select Ceiling (15.0)
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Chapter 2: Linear Functions Chapter one was a window that gave us a peek into the entire course. Our goal was to understand the basic structure of functions and function notation‚ the toolkit functions‚ domain and range‚ how to recognize and understand composition and transformations of functions and how to understand and utilize inverse functions. With these basic components in hand we will further research the specific details and intricacies of each type of function in our toolkit and use
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of function is rightly considered as one of the most important in all of mathematics. As the point‚ the line‚ and the plane were the basic elements of Euclidean geometry‚ the dominant theory from the time of Ancient Greece until the Modern Age‚ the notions of function and derivative constitute the foundation of mathematical analysis‚ the theory that become central in the development of mathematics since then. Several fields of business mathematics deal directly or indirectly with functions: mathematical
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Presidency University Admission Test‚ 2013 ECONOMICS MAJOR Model Questions Group A : English(30 Marks) Write an essay on any one of the following topics: a) Our sweetest songs are those that tell of saddest thought. b) A good film I have seen and enjoyed. Group B : Mathematics (70 Marks) Answer all questions. You will get 2 marks for a correct answer and -0.5 for an incorrect answer. 1. The radius of a circle is 2.5 cm. The error in the calculated area due to an error of 0.01 cm in the radius
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Using a cooling glass of water to determine the area and volume of the curve formed. Research Question: To what extent can a cooling glass of water be modelled accurately and be used to find the area under the curve and volume formed by curve? Data Collection: In order to produce an exponentially decaying graph‚ I had to first heat a glass of water for a certain period of time {150 ml of water}. After the water was heated a temperature probe‚ connected to logger pro and laptop
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the constraint that vL+rK=C. Note that maximizing a monotonically increasing function of a variable is equivalent to maximizing the variable itself. Therefore ln(Q)=(2/3)ln(L)+(1/3)ln(K)‚ a more convenient expression‚ is the same as maximizing Q. Therefore the objective function for the optimization problem is ln(Q)=(2/3)ln(L)+(1/3)ln(K). Step 1: Form the Langrangian function by subtracting from the objective function a multiple of the difference between the cost of the resources and the budget
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C H A P T E R 16 Circular Functions Objectives To use radians and degrees for the measurement of angle. To convert radians to degrees and vice versa. To define the circular functions sine‚ cosine and tangent. To explore the symmetry properties of circular functions. To find standard exact values of circular functions. To understand and sketch the graphs of circular functions. 16.1 Measuring angles in degrees and radians The diagram shows a unit circle‚ i.e. a circle of radius 1 unit
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