# 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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→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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two points‚ determine the shortest distance between the two points (green line) and the rectilinear distance (red‚ blue‚ and yellow lines all represent the same distance). All inputs are integer values. You are permitted to use mathematical functions for square root‚ power‚ and absolute value as necessary. Example Execution #1: Example Execution #2: Enter the first point: 0 0 Enter the second point: 6 6 Enter the first point: 1 5 Enter the second point: 5 1 Shortest distance
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Transforming Relationships: Power Law Models (4.1 Partial) Home Learning 14 Read Pages 193 thru 203 & 214 thru 225 Explore the Technology Tool Box: Pg 219 Complete Problems: 4.1‚ 4.2‚ 4.3‚ 4.4‚ 4.12‚ 4.14‚ 4.16 Learning Objectives • Understand Monotonic behavior in Data as the Dependent “Increasing Only” for Increases in the Independent or “Decreasing Only” for Increases in the Independent • Understand that Monotonically Increasing behavior insures an “Inverse Transform” is possible and preserves
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1. This problem is in reference to students who may or may not take advantage of the opportunities provided in QMB such as homework. Some of the students pass the course‚ and some of them do not pass. Research indicates that 40% of the students do the assigned homework. Of the students who do homework‚ there is an 80% chance they will pass the course. The probability of not passing if the student does not do the home work is 90%. What is the probability of a student not doing homework or
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