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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Climate change has been the forefront of international news and how leaders will take specific measures on tackling environmental challenges. China has faced much pressure and criticism‚ domestically and internationally with their actions or lack thereof on the environmental crisis. China is the world’s leader when it comes to the release of carbon emissions. Approximately‚ one third of all accountable greenhouses gases that are emitted from the planet is due to China’s activities. China is home
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Before 1500 CE‚ there were not as many ways and routes that one could take to communicate with other places. As soon as new connections were made‚ trade and communications difficulty decreased. For example‚ the Indian Ocean trade routes gave Europe the ability to reach “hard-to-get” areas and even connected them with the new world which in turn increased trade happening between the two regions. Over all‚ after 1500 CE‚ there were more routes and ways to be able to trade and communicate effectively
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Academic English for Business and Management Google‘s market changes in China Your full name: Yang Zhifeng Student number: 200767013 Submission date: 04/09/2013 Tutor’s name: Rosemary Word count: 2115 Group number: 3 Contents 1. Introduction 2 2. The situation 2 2.1 An overview of the situation 2 2.2 Description
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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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There were many changes during 1750 to 1900‚ the majority of which were industrial and economic and not always for the better of then or the better of now. In this essay I will list two changes that I thought significant then I will list the negative short term effects‚ the negative long term effects‚ the positive short term effects and the positive long term effects. At the end of each change I will decide whether it was an overall positive or negative change. My first change will be the development
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Sub-saharan Africa has undergone changes with religion such as the changing of religious affiliation to Christianity and the practices of cosmology and ontology‚ however‚ Sub-saharan Africa has also remained constant with their thoughts being focused on various beliefs like a creator and evil. Christianity was predominantly the main religion in Sub-saharan Africa opposed to the Muslims of North Africa. Christianity in the Americas slowly began to send out missionaries to spread the Gospel and build
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ANTHROPOLOGY 1200 PEOPLES OF THE WORLD FINAL EXAM Spring 2014 STUDENT NAME: ___Amanda McLaughlin________________ Multiple Choice (2 points each) 1. The Mashpee Wamponoag lost their 1976 lawsuit seeking to reclaim approximately 16‚000 acres that had previously belonged to them on Cape Cod. Which of the following was not true regarding the case? a. They demanded the return of all land‚ including all homes constructed in the past 200 years. b. They never had legal deed to the land. c. The
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efforts‚ to restore the unity‚ the security‚ the stability of the empire. They are famous figures in politics‚ religion‚ and art. The Roman Empire from 100 C.E. – 600 C.E. had many cultural and political changes as well as cultural and political continuities. There were many political changes from the Roman Empire to the Byzantine Empire. The Roman Empire had a Republic government where the power resided in an assembly of male citizens where the senate made policy and governed. The senate brought
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Tamara Sevilla AP World History Essay Continuity and change: The Post Classical Period spread of Islam The Sassanid Empire served as the revival of the Persian Empire from 244-651 C.E.‚ Persian traditions had endured during this time period and kinships as well as Zoroastrian religion were part of their everyday life. Bedouin or nomadic societies inhabited the Arabian Peninsula as well‚ with a culture based on goat and camel herding. However‚ life styles and interactions changed with the introduction
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