2*7x7-1 = 14x6 y = 5x0.3‚ dy/dx = 5*0.3*x0.3-1 = 1.5x-0.7 Exercises: Calculate dy/dx a) y= 3x2 b) y = 12x0.8 c) y = 6 e) y = 5/x4 g) y = 3 f) y = 4x2 + 2/x3 d) y = +4/ h) y = 8x Another useful derivative rule is for the natural logarithm. Let y = ln x‚ for x>0. Then‚ dy/dx = 1/x Example: y = 5 lnx‚ dy/dx = 5/x Exercises: i) y = 3lnx j) y = -2lnx k) y = 2x7 – (lnx)/2 1 l) y = 5ln x - 2/x3 ECN601 – Section 003 Syracuse University Fall 2010 Professor Lourenço
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How to Work with Dummy Independent Variables Chapter 8 is devoted to dummy (independent) variables. This How To answers common questions on working with and interpreting dummy variables. Questions: 1) How to include dummy variables in a regression? 2) How to interpret a coefficient on a dummy variable? 3) How to test hypotheses with dummy variables and interaction terms? 4) How to create a double-log functional form with dummy variables? 5) How to interpret a coefficient on
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Earthquakes and Logarithms Earthquakes are responsible for a wast majority of natural hazards on our planet. This natural geological phenomena are almost impossible to predict‚ and they occur usually in zones of the planet that are prone to movement in the uppermost crust of the earth. Certain areas are more likely to experience earthquakes‚ and also the aftermath of the earthquakes can be just as destructive or sometimes even more. Different methods of measuring earthquakes have been implemented
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AP Statistics Name ____________________________________________ Chapter 4 Practice Test Part I - Multiple Choice 1. Suppose that the scatterplot of (log x‚ log y) shows a strong positive correlation Which of the following must be true? I. The variables x and y also have a correlation close to 1. II. A scatterplot of (x‚ y) shows a strong nonlinear pattern. III. The residual plot of the variables x and y shows a random pattern. (a) I only (b) II only (c) III only (d) I and
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Natural resources are all the things on Earth that support life. Plants‚ animals‚ air‚ and water are natural resources. Natural resources are also things that people use to make life easier. Your life is easier because you can ride in a bus powered by gasoline. You can cook your dinner in a microwave oven powered by electricity. People use natural resources to make gasoline and electricity. People use many natural resources to make their lives easier. There are different kinds of natural resources
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Natural disasters‚ however powerful and sudden they may be‚ are not incapable of being guarded against. The modern technology has given enough gadgets to people for forecasting‚ and lessening if not totally preventing heavy damages inflicted upon by the natural disasters. Only requirement is that people must take interest in getting as much awareness as possible about the safeguard measures. It is also important to see that we do not contribute to natural disasters by polluting the environment and
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Natural Resources and Energy Paper SCI/256 March 30‚ 2013 Professor Natural Resources and Energy Paper Tropical rainforests like so many other natural places are a scarce resource in the 21st century. They are unique and unlike any other ecosystem. They are in fact crucial to the global ecosystem and vital to human existence. Beyond compare as it relates to their biological diversity‚ tropical rainforests are a natural reservoir of genetic diversity which offers a rich source of medicinal
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Natural Selection and Heritability: From Butterflies to humans Created for SPICE by Amy Non and Carmella O’Steen March 2007 Natural Selection Simulation Lesson 2 (as modified from Robert Gendron’s “Simulating Natural Selection” for Introductory Biology Lab College Course‚ Indiana University of Pennsylvania) Key Question(s): What is natural selection? How does natural selection change allele frequencies over time? Does natural selection work differently on large versus small populations
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Ramon Ramirez The Natural World: Are We a Part of it or Separated From it? The natural world is a source that many of us humans take for granted. It is full of resources that benefit all of us‚ but we should be careful as to how much of those resources we use. Even though the natural world cannot communicate with us verbally‚ its patterns allow us to do many things such as‚ predict weather. As for the question as to whether or not we humans are a part of the natural world or not‚ I think we are
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1. SITUATION ANALYSIS Sarah Serdienis Shannon Strain Trisha Eyer Alana Hadley Matt Bennett Hansen’s Natural has been around to serve the public its natural sodas since the 1930’s. While natural sodas have always been very popular‚ Hansen’s has taken decision-making to the next level with the creation of Monster energy drink. One could even say that Hansen’s Natural has been saved by its release of Monster in 2004 as it went through company turbulence with sales years prior. Now as the new
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