Name:________________________________ Part 1 Exponential Functions Project There are three parts to this project. You must complete Part 1 (60 points)‚ but you may choose to do either Part 2 or Part 3 (40 points each). You may also do all three parts for a total of 140 points; however‚ you must fully complete either Part 2 or Part 3 to get credit (NOT ½ of Part 2 and ½ of Part 3). This project is due on December 5th. Turning it in late forfeits your right to extra credit and there will be
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Solving Exponential and Logarithmic Equations Exponential Equations (variable in exponent position) 1. Isolate the exponential portion ( base exp onent ): Move all non-exponential factors or terms to the other side of the equation. 2. Take ln or log of each side of the equation. • Make sure to use ln if the base is “e”. Then remember that ln e = 1 . • Make sure to use log if the base is 10. • If the base is neither “e” nor “10”‚ use either ln or log‚ your choice.. 3. Bring the power (exponent)
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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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Discussion-Based Assessment 03.11 Module Three Test Week 10 04.00 Module Four Pretest 04.01 Properties of Exponents 04.02 Operations with Radicals Week 11 04.03 Exponential Functions and Models 04.04 Module Four Quiz 04.05 Graphing Exponential Functions 04.06 Sequences Week 12 04.07 Exploring Linear and Exponential Growth 04.08 Module Four Review and Practice Test 04.09 Discussion-Based Assessment 04.10 Module Four Test Week 13 05.00 Module Five Pretest 05.01 Solving Systems
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The concept of exponential growth is when a value increases by a multiplicative factor per unit of time. This explains population growth. The concept of linear growth is when a value increases by a constant. This clarifies how food production grows. These concepts apply to
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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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Week 2 Complete Lab 1. Solve the exponential equation by expressing each side as a power of the same base and then equating exponents. 6 x = 216 x = 3 2. Solve the exponential equation. Express the solution in terms of natural logarithms. Then use a calculator to obtain a decimal approximation for the solution. ex = 22.8 x= ~3.12676 3. Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expression. Give
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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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fairly slowly‚ as they are preparing for the rapid division (Doyle). In this lag phase the bacteria is making fats and proteins which will jump-start the log phase (Doyle). The next phase in the bacteria ’s life cycle is the log (logarithmic or exponential) phase. At this point‚ the bacteria begin replicating swiftly. Once the culture reaches high densities‚ their living space and nutrients begin to deplete‚ and the toxicity levels begin to increase (Doyle). Due to this rapid growth‚ the next
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Learning Guide : EXPONENTIAL GROWTH AND EXPONENTIAL DECAY Duration : 2 days Competencies Given an exponential growth or decay phenomenon‚ determine the rate of increase or decrease. Apply knowledge and skills related to exponential functions and equations in problem solving. Objectives Within the period‚ the fourth year high school students with at least 80% accuracy will be able to: Think : predict the next population given the growth factor and growth rate
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