After the fall of the classical civilizations from 100 to 600 CE the world experienced many changes. China’s fall was not as drastic as Rome’s‚ but it was still worse than India’s. The collapse of the Han dynasty caused China to go into three centuries of unrest until the Sui and Tang dynasties came to the rescue. China had more continuities than changes after its fall‚ unlike the other classical civilizations. China went from a politically centralized civilization with a developed hierarchy with
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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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of commerce brought about major changes overtime among the people of 2 of the regions listed: Eurasia‚ Africa‚ and Americas. Between 1450 and 1750‚ note major developments‚ exchanges‚ shifts of power‚ demographic changes. Through out time‚ different civilizations undergo changes as they mature and grow. America and Africa were regions where changes aroused‚ and these changes can be explained by the globalization of commerce of the world. These changes can be for the better or for the
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sensitivity towards his country. Stalin design was to insure that Russia would no longer trail behind the rest of the world as it had done in the past. The Five Year Plan as it was called‚ would help Russia obtain authority and dominance over Europe. The first phase was to overhaul Russia’s heavy manufacturing and industry. This would include the production of steel‚ cast iron‚
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The Industrial Revolution was the process of change from a rural economy to an urban economy dominated by machines. These technological changes have changed the ways of working and living. Changes in communication in Britain have a significant impact on everyday life from 1750 to 1900. There were lots of useful inventions‚ and the telephone was one of them‚ which created more opportunities for conversation to occur. Effective communication can help people express their feelings‚ understand others
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religions prominent‚ and people in power varied over time. However the importance of silk along with other spices‚ the spread of ideas as well as disease‚ and the continuous diffusion of culture remained the same. Many subtle transformations and changes occurred during this era‚ but the road still upheld its original purpose through it all. The main purpose of the Silk Road had been to deliver goods from place to place. Trade initially was completed using a barter system‚ so one area could get
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continuing repercussions for decades. This essay will argue that although Lenin and Stalin seemed to have conflicting views‚ in reality they shared very similar policies; Stalin just took these policies to an extreme. There was a rather significant continuity between Lenin and Stalin’s policies on Political Control. When the Bolsheviks first came in to power Lenin banned Liberal parties who where seen as a threat and later banned all parties including the Social Revolutionaries’ (SR’s) who shared similar
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There were many changes that Europe underwent in their mindset. These changes occurred over a 300-year period‚ from 1450 to 1750. There were both changes in religion and other things‚ such as politics and core subjects. There were two main religions in Europe. These were characterized as Catholic and Protestant. Both parties were dedicated to their own religion‚ and despised the other whole-heartedly. As a result‚ the reformations started many religious wars fought by both religions. These wars caused
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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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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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