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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There were many continuities for women between 600-1450 such as they were still subordinate to men and were not allowed to be educated but the changes were more significant like their right to divorce was brought upon in this time period along with their ability to gain power through marriage. Women from 600-1450 continued to be ranked under men’s superiority. For centuries women were under men in every way. Religion‚ economy‚ and politics saw women as the lesser of the two sexes. This unfortunately
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nations. Regions such as Africa‚ the Middle East‚ India‚ and Africa were severely impacted positively and negatively by the imperialism of the west. Two of those cultures that were affected in a very similar way during this time period by the effects of imperialism were Africa and India. In both places wars and violence occurred but new technologies were brought by the west that helped improved the civilizations. However Africa and India responded differently to the way the west imposed there economic
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The Middle English Period (1100-1500) Middle English (ME) was the dominant and traditional spoken language form in many parts of England during the Middle Ages. The Middle Ages are so called as the middle period between the decline of the Roman Empire and prior to the period called the Renaissance. Brief History of the Middle English The Norman Conquest The period of Middle English begins with the Norman invasion of 1066 CE. The Norman Conquest was a pivotal event in English history
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fundamental‚ religious‚ and economical way of life. This paper will discuss the goals and functions of trades‚ and traders‚ and a historical analysis of world trade. This paper will also get into world trade patterns‚ of The Americas‚ Sub-Saharan Africa‚ The Indian Ocean‚ The Silk routes‚ China and The South China Sea‚ Europe and The Mediterranean‚ and The Atlantic Exploration. The goals and functions of world trade today vary from when it started. Long distance trading today is a big part of everyday
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Guidelines for Writing a Criticism Paper using the Feldman method ARTS 1100 Art Appreciation Final Project: Oral Presentation/Criticism Paper. This option consists of two parts. Part I: Writing and formatting the paper. Part II: Presentation. Part I: Write a minimum 4 page criticism paper on a single work of art featured in the book or discussed in class lectures. This paper should focus on one particular art work. Students are strongly encouraged (but not required) to discuss their choice
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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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Thesis Statement: “Africa Will Be the Most Vulnerable to Climate Change” The people of Africa rely heavily on agriculture and wildlife to survive. With widespread poverty‚ any type of change in climate has the potential to be devastating‚ and cause malnutrition in children and adults. Climate change can already be seen in severe droughts in the Horn of Africa‚ and agricultural losses of up to 22 percent of maize‚ wheat‚ and rice. For these reasons‚ Africa will surely be one of the most
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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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The ratio of population between Europe and Africa declined and it is believed that this caused a significant impact on African civilizations. During the fifteen century‚ Africa became one of the major location for European explorers‚ mainly Portuguese. For centuries‚ Europeans traded gold and spices‚ but during the fifteen century‚ one of the most important change occurred; a new type of trade began; influenced by the Portuguese and starting the most shameful period of history. It quickly expanded
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