Determination of nth derivative of standard functions-illustrative examples*. Leibnitz’s theorem (without proof) and problems. Rolle’s Theorem – Geometrical interpretation. Lagrange’s and Cauchy’s mean value theorems. Taylor’s and Maclaurin’s series expansions of function of one variable (without proof). 6 Hours UNIT – 2 Differential Calculus - 2 Indeterminate forms – L’Hospital’s rule (without proof)‚ Polar curves: Angle between polar curves‚ Pedal equation for polar curves. Derivative of arc length
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In his book‚ William Zinsser defines unity as the anchor for good writing. It means that‚ in a prose‚ a writer should maintain unity. Let it be the pronoun‚ the tense or the mood‚ there should be unity in the whole prose and the reader must be in a state to understand the right context about what the writer wants to say. For example‚ consider a situation‚ where the writer is supposed to explain a situation or a scene that he is observing or experiencing‚ he must be able to make the reader visualize
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A Raisin in the sun : Family unity In the play A Raisin in the Sun written by Lorraine Hansberry‚ family unity appears sometimes as the enemy and at other times‚ it is the friend. As the play progresses the unity of the family is often questioned. In both the play and the film‚ family unity is often forgotten by the characters during a family crisis‚ whether it concerns money or health. In the film‚ the actions and reactions of the characters match almost perfectly to the written play. The film
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The Influence of the 1850’s in Harriet Beecher Stowe’s Uncle Tom’s Cabin Despite heartbreaking family separations and struggles for antislavery Harriet Beecher Stowe’s Uncle Tom’s Cabin (1852) erupted into "one of the greatest triumphs recorded in literary history" (Downs 228)‚ inspiring plays‚ pictures‚ poems‚ songs‚ souvenirs‚ and statues (Claybaugh 519). As Uncle Tom’s Cabin was being published in the National Era newspaper in forty weekly installments (x)‚ it was received by southerners as
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Annie Catania March 5‚ 2014 AP US History DBQ In the period of 1865 to 1900‚ American agriculture was greatly affected by technology‚ government policy‚ and the economic conditions of the country. At first‚ the advances and decisions made in these three categories pleased farmers‚ and they had a positive outlook for the future. Their opinions changed drastically over a prolonged period of time. From 1865 to 1900 the United States’ railways increased their mileage dramatically (Document
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1 Introduction Sweatshops is a place of work were working conditions are horrible and inhuman. They have been around for a long period of time. They are associated with factories that generally produce apparels. They tend to have low wages‚ excessive long working hours‚ child labour and awful working conditions. In this report the aim is to have an overview of sweatshops and wc. To this end…plan here. and come to a conclusion of if they should be accepted in today’s world. 2 Findings 2.1 Evolution
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Imagine the world before the 1850. There was no heavy equipment to assist in making buildings‚ houses‚ paving roads or cranes to move heavy equipment. Draft animals were used to pull heavy loads. People who worked the lands had no help other than manual labor and draft horses. Manual labor was grueling before the industrial revolution of heavy equipment. Over the years inventions were made that revolutionized the way building and structures were made. James Watt made the first reliable steam engine
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Question1 Unity in Diversity is undoubtedly a gracious cause. In today’s world‚ we see a lot of destruction which are being caused because of clashes among races. Racism is a root of headache for today’s aware people. This particular idea of “Unity in Diversity” is‚ therefore‚ really generous. Question2 In my opinion‚ the most tricky as well as toughest challenge in the embodiment of the concept "Unity in Diversity" is spreading this idea among all. I think there are still a lot of people left
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AP Essay Redo Kaleb Duncan The election of 1800 was considered the “Revolution of 1800” by Thomas Jefferson because it was a switch from previous Federalist rule‚ to Republican leadership. Economies and plans for them changed dramatically with the Republican Party in control‚ as well as politics at the time. In foreign policy‚ Jefferson got America involved in the Barbary Wars and the Embargo Act. Previous presidents had done what they could to stay neutral in foreign battles
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humanity’s douchebaggery is because of one word Martin Luther King taught me. That word is ‘unity’. I know what most of you might be thinking‚ “ugh unity…Hah! Gay!” But think about it‚ wouldn’t it be nice if wars like World War 2‚ where millions of lives died‚ and Afghanistan never happen again? Yep what a world; no wars‚ no suffering‚ no famine‚ no disasters…no school? [Coughs sarcastically] Anyway unity can be achievable; it’s just a matter of time. I just wanted to point out that making ads about
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