Continuity and Differentiability Extra questions: 1) If f(x) = is continuous at x = 0‚ find the value of a and b 2) A function f is defined as f(x) = for x 1 = - for x = 1. Show that f(x) is differentiable at x = 1 and find its value 3) Let f(x) = if x 2 = k‚ if x = 2. If f(x) is continuous for all x‚ then find the value of k. 4) Let f(x) be a function of x defined as f(x) = ‚ x 1
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Global Environmental Change 22 (2012) 391–398 Contents lists available at SciVerse ScienceDirect Global Environmental Change journal homepage: www.elsevier.com/locate/gloenvcha Vulnerability conditions and risk representations in Latin-America: Framing the territorializing urban risk Julien Rebotier * ˆtiment IRSAM – SET‚ 64000 Pau‚ France CNRS – UMR 5603‚ Domaine Universitaire‚ Ba A R T I C L E I N F O A B S T R A C T Article history: Received 24 December 2010 Received in
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and how they have changed. There will also be details of the differences of theoretical perspectives. There are many types of families; the most common family group is a nuclear family consisting of two adults of both sexes whom are in a sexual relationship‚ with children either biological or adopted. They must cohabitate in the same house hold and share income or domestic tasks to some extent. Then there are extended families‚ an extended form of the nuclear family. The extended family consists of
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flourished during the Sui and Tang dynasty‚ it faced opposition from the government during the Song dynasty. Confucianism lost government endorsement during the Sui and Tang but gained momentum during the Song as Neo-Confucianism. Yuan dynasty promoted Islam and Tibet Buddhism but ignored Confucianism. Different rulers sponsored and protected different religions but Confucianism and some form of Buddhism have always been alive in Chinese society from 600 to 1450. After much political disunity and chaos China
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Over time‚ a culture’s art will change or improve in some way. Some characteristics may remain the same while other characteristics change drastically. Art in the Archaic era and the Classical era had no emotion and unrealistic features‚ but the Classical era brought a sense of anatomy and movement to its art. In the Archaic era and Classical era‚ emotion was not present in art. Characters had plain expressions on their faces; their eyes told nothing‚ regardless of what they were doing. The
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who walked school boys to school and home again)? Horace’s pedagogue was his father. The father spent a small fortune on his son’s education‚ eventually accompanying him to Rome to oversee his schooling and moral development (my information came from http://en.wikipedia.org/wiki/Horace#Childhood) 2. Why did Cato teach his son instead of having a slave as a teacher? Cato did not think it proper for his son to be criticized by a slave or to have his ears tweaked by a slave when he was a slow learner
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LIMITS AND CONTINUITY 1. The concept of limit x2 − 4 . Examine the behavior of f (x) as x approaches 2. Example 1.1. Let f (x) = x−2 Solution. Let us compute some values of f (x) for x close to 2‚ as in the tables below. We see from the first table that f (x) is getting closer and closer to 4 as x approaches 2 from the left side. We express this by saying that “the limit of f (x) as x approaches 2 from left is 4”‚ and write x→2− lim f (x) = 4. Similarly‚ by looking at the second table
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must have knowledge of the history of our country. America is traditionally a country of immigrants. Very few people today have ancestors who were natives in this land. Even our founding fathers fled to America many because of religious persecution‚ and a few who were just looking to start a new life on the exciting untouched frontier. During the hundreds of years to come‚ America was seen as a land of opportunity‚ and people from all over the world moved there; some in large groups
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• Generally‚ how did their colonies fare between 1600 and 1750? England Where? • Virginia • Massachusetts Bay • Connecticut • Pennsylvania • New York • Maine • Delaware • New Hampshire • Maryland • Rhode Island • New Jersey • North & South Carolina • Georgia For what purpose? • Separation from the Church of England • Religious freedom • Opportunities to trade American natural resources to other countries • Wealth • Colonization • A new land of new economic opportunities Who? • Explorers
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McKinley’s presidency starting in 1896 restored American prosperity through the use of higher tariffs and the return to a gold standard. Foreign nations became dependent on the United States’ prosperity because economic problems‚ such as crop failures‚ were affecting their stability. This along with many other factors developed America’s strong sense of nationalism. The concept of social Darwinism was applied not only to domestic concerns‚ but to foreign concerns as well. Americans felt that their
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