Quadratic Equation: Quadratic equations have many applications in the arts and sciences‚ business‚ economics‚ medicine and engineering. Quadratic Equation is a second-order polynomial equation in a single variable x. A general quadratic equation is: ax2 + bx + c = 0‚ Where‚ x is an unknown variable a‚ b‚ and c are constants (Not equal to zero) Special Forms: * x² = n if n < 0‚ then x has no real value * x² = n if n > 0‚ then x = ± n * ax² + bx = 0 x = 0‚ x = -b/a
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The simple regression model (SRM) is model for association in the population between an explanatory variable X and response Y. The SRM states that these averages align on a line with intercept β0 and slope β1: µy|x = E(Y|X = x) = β0 + β1x Deviation from the Mean The deviation of observed responses around the conditional means µy|x are called errors (ε). The error’s equation: ε = y - µy|x Errors can be positive or negative‚ depending on whether data lie above (positive) or below the conditional
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Maxwell’s EquationsMaxwell’s equations represent one of the most elegant and concise ways to state the fundamentals of electricity and magnetism. From them one can develop most of the working relationships in the field. Because of their concise statement‚ they embody a high level of mathematical sophistication and are therefore not generally introduced in an introductory treatment of the subject‚ except perhaps as summary relationships. These basic equations of electricity and magnetism can be used
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The Drake Equation * The Drake Equation was created by Frank Drake in 1960. * estimate the number of extraterrestrial civilizations in the Milky Way. * It is used in the field of Search for ExtraTerrestrial Intelligence (SETI). * National Academy of Sciences asked Drake to organize a meeting on detecting extraterrestrial intelligence. Reason drake equation created * Drake equation is closely related to the Fermi paradox * The Drake Equation is: N = R * fp * ne * fl * fi
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Cause and Effect on The Cold Equation In the story "the Cold Equation" by Tom Godwin‚ the author created a cause and effect relationship by having Marilyn decide to stowaway on the emergency dispatch ship that only has enough fuel for one person. Because Marilyn decided to stowaway she ended her own life‚ forced Barton to deal with having to kill a woman‚ negatively affects the results of the mission to Woden‚ and for her parents and brother to deal with her death. Marilyn’s last moments of her life
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On Mathieu Equations by Nikola Mišković‚ dipl. ing. Postgraduate course Differential equations and dynamic systems Professor: prof. dr. sc. Vesna Županović The Mathieu Equation An interesting class of linear differential equations is the class with time variant parameters. One of the most common ones‚ due to its simplicity and straightforward analysis is the Mathieu equation. The Mathieu function is useful for treating a variety of interesting problems in applied
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today that dream is out of reach for an increasing number of Americans. Why? It is because there are not nearly enough jobs for everyone. Without a jobs recovery‚ there simply is not going to be a housing recovery. In this report‚ I will perform a regression analysis to determine the effect of the Unemployment Rate (UR) on Total New Houses Sold (TNHS). I expect that there will be a negative relationship between the two variables. In other words‚ as the unemployment rate increases‚ the total number of
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Colleen Cooper Solving Quadratic Equations MAT 126 Survey of Mathematical Methods Instructor: Kussiy Alyass October 1‚‚ 2012 Solving Quadratic Equations Using correct methods to solve quadratic equations can make math an interesting task. In the paper below I will square the coefficient of the x term‚ yield composite numbers‚ move a constant term and see if prime numbers occur. I will use the text and the correct formulas to create the proper solutions of the two projects that are
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Upstream: 60 = 6(b-c) Downstream: 60 = 3(b+c) There are now two separate equations: 60 = 6b - 6c and 60 = 3b + 3c Solve both equations for b: b = 10 + c b = 10 - c Now make both equations equal each other and solve for c: 10 + c = 10 - c 2c = 0 c = 0 The speed of the current was 0 mph Now‚ plug the numbers into one of either the original equations to find the speed of the boat in still water. I chose the first equation: b = 10 + c or b = 10 + 0 b = 10 The speed of the boat in still water must
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CHAPTER 13 CORRELATION AND REGRESSION ANALYSIS OUTLINE 4.1 Definition of Correlation Analysis 4.2 Scatter Diagram and Types of Relationships 4.3 Correlation Coefficient 4.4 Interpretation of Correlation Coefficient 4.5 Definition of Regression Analysis 4.6 Dependent and Independent Variables 4.7 Simple Linear Regression: Least Squares Method 4.8 Using the simple Linear Regression equation 4.9 Cautionary Notes and Limitations OBJECTIVES By the end
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