definitions. For EC201 • Nonsatiation means that utility can be increased by increasing consumption of one or both goods. If the utility function is differentiable you should test for nonsatiation by finding the partial derivatives of the utility function. 1.1.2 Example: testing for convexity with a Cobb-Douglas utility function A Cobb-Douglas utility function has the form u(x1 ‚ x2 ) = xa xb where a > 0 and b > 0. Here u(x1 ‚ x2 ) = 12 2/5 3/5 x1 x2 . Assuming that x1 > 0 and x2 > 0 the partial
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# the start of this has the power-law fitting function you can use‚ make sure to evaluate it before calling plfit # PLFIT fits a power-law distributional model to data. # # PLFIT(x) estimates x_min and alpha according to the goodness-of-fit # based method described in Clauset‚ Shalizi‚ Newman (2007). x is a # vector of observations of some quantity to which we wish to fit the # power-law distribution p(x) ~ x^-alpha for x >= xmin. # PLFIT automatically detects whether x is
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E N Z Y M E O N O S M C E G L E E E L G L Y C E R O L H Y D R O X
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Math 135 Final Exam Study Guide The graph of a function is given. Follow the directive(s). 1) y 5 (0.5‚ 2) (3.5‚ 2) 5 (6‚ -1.1) x -5 (-5‚ -3) (-4‚ -3) -5 (a) List all the intervals on which the function is increasing. (b) List all the intervals on which the function is decreasing. (c) List all the intervals on which the function is constant. (d) Find the domain. (e) Find the range. (f) Find f(-5). (g) Find f(6). (h) Find x when f(x) = 0. (i) Find the x-intercept(s). (j) Find the y-intercept(s)
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Previous exam questions on area between functions and volumes of solids. 1. Let f(x) = cos(x2) and g(x) = ex‚ for –1.5 ≤ x ≤ 0.5. Find the area of the region enclosed by the graphs of f and g. (Total 6 marks) 2. Let f(x) = Aekx + 3. Part of the graph of f is shown below. The y-intercept is at (0‚ 13). (a) Show that A =10. (2) (b) Given that f(15) = 3.49 (correct to 3 significant figures)‚ find the value of k. (3) (c) (i) Using your value of k‚ find f′(x). (ii) Hence
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Authority Act 1991 (Ch 196) CHAPTER 196 THE UGANDA REVENUE AUTHORITY ACT. Arrangement of Sections. Section PART I—INTERPRETATION. Interpretation. PART II—ESTABLISHMENT‚ POWERS AND FUNCTIONS OF THE AUTHORITY. Establishment of the authority. Functions of the authority. PART III—THE BOARD OF DIRECTORS AND ITS FUNCTIONS. Board of directors. Qualifications for appointment. Tenure of office. Minister’s power to suspend or terminate appointment. Meetings of the board. PART IV—COMMISSIONER GENERAL
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of theory and practice of foreign languages COURSE PAPER Theme: “EXPRESSIVE FUNCTION IN THE PUBLICIST STYLE” Major: 050119 “Foreign Language: two foreign languages” Written by: Astana – 2012 Contents Introduction 1. The style and types of stylistic information in the publicist style. Expressive function………………………………………………………...5 2.1 ’Style ’ and ’Stylistics ’………………………………………………………
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→0 + ( 2. (3 marks) Find the derivative of y = 3 x + 5 2 ) sec x Calculus I Midterm 2 November 2013 3 3. (Total 8 marks) Answer each question in the space provided. Do NOT simplify your answer. x2 − x 3 dy of the function f ( x) = ln( x3 ) a) Find dx e [ ( )] b) If f ( x) = arcsin x c) Find ( ( d sin 2 dx d) If f ( x) = 1 4 x 3 4 + π 2 ‚ find f ′(x) tanh (x ) + (2 x ) )) 1 −e 2 (2 marks) (2 marks)
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FISH PRODUCTION - MODELING The aim of this investigation is to consider commercial fishing in a particular country in two different environments‚ that is from the sea and a fish farm (aquaculture). The following data provided below was taken form the UN Statistics Division Common Database. The tables gives the total mass of fish caught in the sea‚ in thousands of tones (1 tone = 1000 kilograms). Year | 1980 | 1981 | 1982 | 1983 | 1984 | 1985 | 1986 | 1987 | 1988 | Total Mass | 426
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The Projecting Beam Purpose or Aim : To determine the relationship describing the effect of meter-stick projection (L) on the vertical depression (y) of the free end with constant load. Material & Apparatus: One 1 kg mass String Clamp Two Meter Sticks Tape Diagram: Procedure: First of all‚ gather all the materials that are required for the lab and setup accordingly for the lab. Place the ruler on the lab table so that 0 cm projects beyond the lab table
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