Applied maths for electronics engineers jan-2013-2
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This document contains exam questions on various topics in statistics and linear algebra. It includes questions about: 1) Different types of fuzzy quantifiers with examples. 2) The types of operators used in fuzzy expressions and about four valued logic and its uses. 3) Constructing the QR decomposition or singular value decomposition of a given matrix. 4) Finding the moment generating function, mean, and variance of the outcome of tossing a fair die. Determining the density functions of two related random variables and if they are independent. 5) Finding the moment generating function and properties of the binomial distribution. Calculating probabilities related to an exponentially distributed machine repair time.
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The document provides examples and explanations of shifting and transforming functions. It includes examples of shifting parabolas and absolute value functions left/right and up/down. It also discusses shifting generic functions f(x), g(x), h(x), j(x) left/right and up/down and writing the transformed equations. Graphs of the transformed functions are shown and students are asked to identify the parent function and write the equation.
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Rational functions are functions of the form f(x) = p(x)/q(x) where p(x) and q(x) are polynomials. For example, comparing rational functions like 2x/(x^2 - 4) and (x-1)/(x+1). Horizontal asymptotes of rational functions occur when the degree of the polynomial in the numerator is less than the degree of the polynomial in the denominator.
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Part A contains 10 short answer questions worth 2 marks each. Questions cover topics like defining terms related to chains and generalized eigenvalues.
Part B has two longer answer questions worth 13 marks each. One question involves finding the number of generalized eigenvectors for a given matrix.
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The event will cover the following::
Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
Answers about how you can do more with Walmart!"
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