Introduction According to the International Program Center‚ U.S. Census Bureau‚ the total population of the World‚ projected to 03/27/08 at 19:37 GMT (EST+5) is 6‚657‚527‚872. (US Census Bureau) This rapid growth in population means little to most people living in this today’s world but it’s a phenomenon that should be a concern to all. It took from the start of human history to the industrial revolution around 1945 for the population to grow to 2 billion. If we then look at the figures after
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Functions and graphing functions Basics: A function is a rule that changes input into output A relation is any set of ordered pairs A function is defined as a set of ordered pairs in which no two ordered pairs have the same element A function must give exactly one unique output for each input Also called a mapping or simply a map The set of input numbers is called the domain The set of output numbers is called the range The set of all possible outputs is called the co-domain The range is generally
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05A2009 =0.50(83000) + 0.30(67000) + 0.15(64000) + 0.05(48000) = 41‚500 + 20‚100 + 9‚600 + 2‚400 = $73‚600 $73‚600 is the forecast for 2013 Q2. Using exponential smoothing with a weight of 0.6 on actual values: a) If sales are $45‚000 and $50‚000 for 2010 and 2011‚ what would you forecast for 2012? (The first forecast is equal to the actual value of the preceding year.) Actual values are 2010: $45‚000
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Global Warming: An exponential threat We currently live in a highly globalized world from every point of view (technological‚ scientific‚ cultural‚ economic‚ communicative‚ etc.) hence‚ one of the most negative effects that generated globalization has been the growing ecological imbalance that has harmed the planet. The global warming has become of the most dangerous threats and challenges to face in the 21st century. Many companies and factories are currently one of the main factors which
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the reaction time if you had reduced the hydrochloric acid by half? Explain why. 4. What should you have learned about reaction rates? 1. The kind of graph that resulted when I plotted the mL of thiosulfate against the time in seconds was an exponential decay. 2. The graph tells us that the rate of reaction increases when there is more thiosulfate as the reaction took more time when there was less thiosulfate. This is shown on the graph by the increasing volume of thiosulfate corresponded to a
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Submitted to: MRS. VILORIA Professor * Constant Function: Let ’A’ and ’B’ be any two non–empty sets‚ then a function ’’ from ’A’ to ’B’ is called Constant Function if and only if range of ’’ is a singleton. * Algebraic Function: The function defined by algebraic expression are called algebraic function. e.g. * Polynomial Function: A function of the form Where ’n’ is a positive integer and are
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Policies & Procedures Course Curriculum / Syllabus LTF Activity: Interval Notation (Precal) 2 Pre-Assessment 3&4 1.2 Functions and Their Properties 5 LTF Activity: - Describing Graphs (Precalculus) 6 1.3 Twelve Basic Functions LTF Activity: Characteristics of Functions (Algebra 2) 7 8&9 1.3 Twelve Basic Functions (cont.) 1.6 Graphical Transformations Review of Basic Graphs and Transformations PreAP Pre-Calculus Pacing Guide Revised June 2012
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Function Discovery Quick Reference Sheet by Maxwell Cohen Table of functions used in ENGR 132 Type of equations General form The plot that shows your data as linear Linear y=mx + Linear Standard graph b Y vs. X Exponential X y=bemx ln(y) =mx+ln(b) Y = mx+B semilogy mx y=b10 log(y) =mx+log(b) log(Y) vs. X Logarithmic* x=bemy ln(x) =my+ln(b) X = my+B semilogx my x=b10 log(x) =my+log(b) Y vs. log(X) Power y=bxm ln(y)=m*ln(x)+ln(b) Y = mX+B log-log log(Y) vs. log(X) *logarithmic equations with calculations
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exhibits and Exponential Growth period during Phase A of the given graph. This is visible from the graph because of the distinct J-shaped curve of the graph‚ this indicates that the curve is Exponential. The curve starts with stable phase not seeming to increase because the growth is slow due to the small population known as the Lag Phase. Then the growth build momentum and grows at an accelerating pace until environmental conditions prevent for their growth‚ this is known as the Exponential Growth Phase
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Choose one of the forecasting methods and explain the rationale behind using it in real life. I would choose to use the exponential smoothing forecast method. Exponential smoothing method is an average method that reacts more strongly to recent changes in demand than to more distant past data. Using this data will show how the forecast will react more strongly to immediate changes in the data. This is good to examine when dealing with seasonal patterns and trends that may be taking place. I would
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