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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evolved through the centuries. A perfect example of this is Eurasia from 600-1450. There were many continuities and changes in Eurasian trade. During this time period there was continuity with how trade spread ideas and disease‚ but there was also change in technology that allowed trading over larger distances and in who controlled trade. Much of how trade spread ideas and disease
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The assignment for this class 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
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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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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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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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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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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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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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