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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Change‚ something we want but doesn’t always come easy to us. Positive change is what can improve conditions‚ lives and in turn increase the happiness of a person. America in 1900 was a place needing improvement. Something needed to be done but people had a difference in opinion of how effectively execute actions that would bring change. The expansion of government power and power of the president caused the necessary change needed in the progressive era. Cooperations were a block to people’s pursuit
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mita‚ slavery‚ and wage labor were evident as labor systems in 1750‚ but by 1914 wage labor became a dominate labor system.Over time‚ Latin America’s labor system went from slavery to indentured servitude. As a result of European conquest and colonization there was a dramatic shift in African labor from agriculture‚ trade‚ bronzing and certain specialized crafts to mine labor and felling forests. There were also certain things that remained the same‚ like the use of slave labor‚ though the magnitude
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Basic Features at Beginning of Time Period Key Continuities Key Changes Basic Features at end of Period Reasons for CCOT Global Trade Slave Trade(West Coast of Africa and Plantations in America Columbian Exchange Trade is important to dependent countries. Global Trade Exploded along with increasing globalization (age of exploration‚ colonies‚ etc Slave Trade and cotton‚ tobacco sugar European Exploration caused more trading of various crops Commercial Revolution (banking‚ loans‚ finance) Mercantilism
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Between the years of 1900 and 1945‚ America went through rough times at the start of the century. This was the time of the great depression‚ WWI‚ WWII‚ The Labor Movement‚ Women’s rights‚ and the start of the civil rights movement. It was very hard time to be an American if you were not a white male because of all the obstacles you had to face during this period. I feel that in times of turmoil American’s should have the right to protest peacefully as it states in the 1st amendment. The 1st amendment
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points with examples drawn from USA-Africa relations. Nations and people interact across boundaries for many reasons but the primary purpose may be for the exchange of trading goods‚ ideas‚ or services. Complexities arise among interactions when cultural differences and stereotypical assumptions are present. This presents the issue of power differentials especially in the case of African history. Since the Transatlantic Slave Trade‚ America interacted with West Africa through powerful empires and merchants
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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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The 1450 - 1750 time period is one associated with many great advancements including the emergence of the first global age and the age of exploration as well as many other major historical turning points. While trade had been global in years before‚ 1450 - 1750 is a time when global interactions became more direct and interactions between cultures flourished like never before. The global age affected the interactions of peoples including: Europeans‚ Muslims‚ Africans‚ Asians‚ and Indians. People
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Essay: Business Continuity and strategic pre-incident changes the company would follow to ensure the well-being of the enterprise. Pre-Incident Planning: Good Business Continuity Planning starts with being proactive. That means taking concrete steps to plan for an incident much before it actually strikes. There is no one single approach that fits for all types of incidents as no two emergencies are identical. Much of business continuity planning varies based on the size of the company‚ company’s
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domestic system they would usually stay at home and: • Cook food • Wash clothes • Sew and make clothes They were very involved textiles and the making of cloth‚ they would spin the wool at home using hand looms or spinning wheels then the men would weave it into cloth. This was a good way to suplement the men’s income as farmers. There were also a few craft-based jobs in 1750 such as cobblers or blacksmiths‚ and a few people worked on boats. Britain in 1900 There was a big change in jobs
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