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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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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6‚ 2012 Mr. Sessions Russia Population 140.4 million GDP (PPP) 2.2 Trillion 4.0% Growth 3.4% 5 Year compound annual growth 15‚837 Per capita 7.5% Unemployment 6.9% Inflation (CPI) 41.2 Billion Russia’s politics takes place in the framework of a federal semi presidential republic. According to the Constitution of Russia‚ the president of Russia is head of State and of a multiparty system with executive
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The main cause of the collapse of the Tsarist regime in Russia in 1917 was the First World War. Do you agree? Explain your answer. In 1917 the rule of the Romanovs over Russia collapsed and Tsar Nicholas was forced to abdicate. He then offered the throne to his brother‚ who refused. There were many causes to the collapse of the Tsarist regime in 1917‚ including the First World War. Russia entered the First World War for different reasons‚ including: to improve Tsar’s reputation in front of people
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Nina Taupier 2011-10412 Russia and international Relations The West and Russia. 31.5.13 Whether Russia will integrate or cooperate with the West has been and continues to be a very heated debate. Overall‚ Russia’s European frontier appears the most stable and peaceful. The defining factor in the European security landscape is NATO enlargement. Russia’s failure to prevent the first wave and the likelihood of successive waves make the prospect of dividing lines in Europe real. The extent
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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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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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Climate How cold do you think Russia can get? The Russian winter certainly guarantees plenty of snow and frost… but not everywhere. And it doesn’t last forever. Russia’s climate varies dramatically‚ from the deep Arctic chill of the far north to the searing desert heat of some inland areas further south. Yet‚ throughout much of the country there are only two distinct seasons – winter and summer. Spring and autumn are only brief spells of change in between. [pic]Russian winter (photo by Irina
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Political Changes and Continuities in China Through 600 CE Up until the 7th century CE‚ Chinese politics mainly remained the same after the Han dynasty. The major differences had to do with the way that the people were governed and how much influence religion had over the government. Before the Han‚ there was the Zhou and Qin dynasties‚ the Zhou was the first to implement the basis of any widespread government‚ and it is also the first example of continuity during the classical period in China
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Red – Hard questions and haven’t come up before‚ Yellow – Very unlikely questions OCR B: Russia in Turmoil‚ 1900-1924 - All Possible Essays Questions with Plans (By Harry Bojakowski and Scarlett Stock [04.2013]) 1. 1905 1. Why did Tsarism become so unpopular with some groups by 1905? Throughout the centuries leading up to the 20 ‚ Russia had been ruled by the Romanov dynasty via autocracy. This lead to large periods of stagnation and extremely old-fashioned ways while the rest of European
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