FKB20203 Engineering Technology Mathematics 2 Lecture 2: Limits and Continuity Lecturer: Norhayati binti Bakri ( (norhayatibakri@mfi.unikl.edu.my) WEEK 2 Objective: To evaluate limits of a function graphically and algebraically To determine the continuity of a function at a point Limits (a) (b) A 1. in everyday life in mathematics Limits – Graphical Approach Examples f(x) = x + 2 x+2 ‚ x ≠ 2 h(x) = ‚ x=2 3 7 6 5 4 3 2 1 0 1 2 3 4 5 -3 -2 -1 0 1 2 3 4 5 g(x) = x2 − 4 x
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internal links between the particles. Cohesive soils have plastic consistency between specific limits moisture contents. Below these levels they have a solid consistency and above a liquid consistency. Therefore‚ the soil has two important properties to be analyzed‚ the Liquid Limit (LL) and the Plastic Limit (PL). The Liquid Limit is the moisture content that makes the soil has a liquid behavior. The Plastic Limit is the moisture content below which the soil becomes from the plastic state to the semi-solid
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central The Central Limit Theorem A long standing problem of probability theory has been to find necessary and sufficient conditions for approximation of laws of sums of random variables. Then came Chebysheve‚ Liapounov and Markov and they came up with the central limit theorem. The central limit theorem allows you to measure the variability in your sample results by taking only one sample and it gives a pretty nice way to calculate the probabilities for the total ‚ the average and the proportion
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CENTRAL LIMIT THEOREM There are many situations in business where populations are distributed normally; however‚ this is not always the case. Some examples of distributions that aren’t normal are incomes in a region that are skewed to one side and if you need to are looking at people’s ages but need to break them down to for men and women. We need a way to look at the frequency distributions of these examples. We can find them by using the Central Limit Theorem. The Central Limit Theorem states
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Speed Economy High Speed Rail will be equivalent to throwing government subsidies into a black hole – crushes the US economy Utt‚ Ph. D. & Herbert and Joyce Morgan Senior Research Fellow in the Thomas A. Roe Institute for Economic Policy Studies at The Heritage Foundation‚ February 11‚ 2011 Advocates for more spending on passenger rail‚ including HSR‚ often point to Europe and Japan as role models and aspirational goals for American policy. This Euro-envy manifests itself in the promotional
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questions: are term limits the answer‚ will they do more harm than good‚ and is it just a trade-off for different‚ yet equally adverse issues? Why Term Limits? Dissatisfaction from Americans It should come as no surprise that Americans are less than satisfied with Congress. A Gallup poll conducted in 2013 reported that 75 percent of Americans—encompassing Republicans‚ Democrats‚ and independents alike—are in favor of restricting the
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" Factors affecting the speed of sound in a medium" Type of the medium- The speed of sound is not always the same. Remember that sound is a vibration of kinetic energy passed from molecule to molecule. The closer the molecules are to each other and the tighter their bonds‚ the less time it takes for them to pass the sound to each other and the faster sound can travel. It is easier for sound waves to go through solids than through liquids because the molecules are closer together and more tightly
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Land Speed Record The land speed record (or absolute land speed record) is the highest speed achieved by a wheeled vehicle on land. There is no single body for validation and regulation; in practice the Category C ("Special Vehicles") flying start regulations are used‚ officiated by regional or national organizations under the auspices of the Fédération Internationale de l ’Automobile. The record is standardized as the speed over a course of fixed length‚ averaged over two runs (commonly called
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Term limits from the smallest level all the way to the Oval office have been in effect since this country was started. The main reason for term limits is to prevent tyranny (as we fought against the British due to their tyranny on us). Now under the Constitution‚ the members of the U.S. Senate are able to serve an infinite number of six-year terms (Boundless). House of Representative members are able to serve an infinite number of two-year terms (Boundless). Reformers in the 90’s put the congressional
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Edmee Ferrer PUB SPEAKING ENHANCED 492779 Professor Anderson Listening to the Women’s Rights was very moving and it really touched me and I learned a lot about what women had to go through and are
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