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-OVER-TIME‚ (over time)‚ get it? 2002 Choose TWO of the areas listed below and analyze how each area’s relationship to global trade patterns changed from 1750 to present. Be sure to describe each area’s involvement in global patterns around 1750 as your starting point. Latin America Sub-Saharan Africa East Asia The Middle East Eastern Europe North America South and Southeast Asia 2003 Describe and analyze the cultural‚ economic‚ and political impact of
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participation short essay paper was to watch and write a critical analysis of the film "1492 Conquest of Paradise." The information I used for this paper came from various web pages‚ which are enclosed‚ "The American Nation Textbook"‚ and finally the movie itself. I believe the biggest item that should be talked about is how historically accurate this film is‚ and did the director try to accurately portray what really happened during that time period. From the start of the movie I was thrilled to see how the
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In China there was a large amount of change that the country endured both politically and culturally between the years 100 C.E. and 600 C.E. During the classical era of China there were many cultural changes. The ideas of China changed due to the creation of three distinct religions: Confucianism‚ Legalism‚ and Daoism. Followers of Confucianism followed the ideas of Confucius; he believed that people should emphasize personal virtue‚ which included a respect of tradition. Because of those ideas
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Europe is concerned‚ in the fifth. During the long decline‚ great self-made figures‚ never from Rome but from the fringes of the empire‚ come forward and seek‚ by heroic 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
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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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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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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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INTRODUCTION: WE ALL KNOW THE RHYME – IN 1492 COLUMBUS SAILED THE OCEAN BLUE…. WELL IN 2006 ANNA SAILED THE OCEAN BLUE TOO EXCEPT SHE SAILED IN A BIGGER BOAT WITH A BUFFET‚ A WARM COZY BED AND MAIDEN VOYAGE DRINKS THAT COST $8.00 BUCKS A POP! PREVIEW: TONIGHT I CHOSE TO TELL YOU ABOUT MY TRIP TO THE WESTERN CARIBBEAN. MY FAMILY AND I TOOK A 7 DAY CARNIVAL CRUISE WHICH MADE 3 DIFFERENT STOPS‚ ONE IN JAMAICA‚ THE SECOND IN GRAND CAYMAN AND THE THIRD IN COZUMEL‚ MEXICO AND I WANT TO SHARE MY
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From 100 CE to 600 CE‚ the Roman Empire experienced many changes‚ both politically through power of leaders‚ and culturally religion. Rome also had some continuity‚ like the fact that it remained an empire through all of the 500 years mentioned. Although it stayed somewhat the same‚ its changes far outnumbered its continuities. Cultural changes in Rome were mostly due to the rise of Christianity during this period. Toward the beginning of the era (circa 100 CE)‚ many pagan religions were very prevalent
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