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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Fri‚ Jan 30 Mrs. Julie Noriega 392 Blue Lagoon Way Orlando‚ FL 32814 Dear Julie: 3392 Econlockhatchee Trail Orlando‚ FL 32822-6588 407.891.2330 garth.peterson@raintree.com I am sending you this letter‚ as your Financial Planner‚ I am glad to respond to your request for clarification on the Tax status of the eBay profits. As you in all are probably aware ‚ you can use eBay to clean out your closets or eBay can be used to run a small business. Your smart to enquire about your tax liability
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The modern age is an age of electricity. People are so used to electric lights‚ radio‚ televisions‚ and telephones that it is hard to imagine what life would be like without them. When there is a power failure‚ people grope about in flickering candlelight. Cars hesitate in the streets because there are no traffic lights to guide them‚ and food spoils in silent refrigerators. Yet‚ people began to understand how electricity works only a little more than two centuries ago. Nature has apparently
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Does Ron Howard tend to ‘sugar coat’ the characters and stories in his films‚ sticking with a ‘white bread’ theme which makes the film out of touch with reality. “Rush and “Beautiful mind” are both films directed by Ron Howard where a predictable ending occurs. ‘Rush and beautiful mind’ the antagonist ends up showing forgiveness and empathy for the protagonist resulting in a predictable ‘happy ending.’ This is despite serious conflict that in reality would usually not results in such happy ending
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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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asked to choose a film based on its great editing techniques‚ I had to choose academy award winning‚ The Departed (Scorsese‚ 2006). This film starring Hollywood power houses‚ Matt Damon‚ Leonardo DiCaprio‚ Mark Wahlberg‚ and Jack Nicholson‚ won the 2006 academy for best editing and I believe that it was deservingly so. The editing in this film is very interesting in a sense that it is pretty different from the editing of most films that I have viewed. The editing is done by Thelma Schoonmaker. She is
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Sean Remington April 20‚ 2013 Editing Analysis Professor John Cole When I was thinking about what film I should write about on editing only one film came to mind‚ and that film is Memento. Memento was directed by the great Christopher Nolan and starred Guy Pearce as Leonard Shelby. Memento is known for its very unconventional editing and nontraditional storytelling. Memento is broken up into two different types of scenes. The first type of scene is the main plot of the story where each scene
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diseases and ailments that affect the physical body and can‚ most times‚ be seen and touched. The former has to do with the mind or psyche of an individual whereby only the symptoms of this class of disease manifest. This ailment of the psyche is the chief concern of this essay; schizophrenia to be precise and we shall use the protagonist ( John Nash) in the movie “A Beautiful Mind” as a case study. By way of methodology‚ we shall explain the meaning of schizophrenia‚ touch on the features and sub-types
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Analyze the changes and continuities in major trading patterns within and among Classical civilizations; include their contacts‚ including religious‚ with adjacent regions. • Discuss the changes and continuities in the Silk Road trading network from 600 BCE – 1450 • Discuss the changes and continuities that occurred in the roles and functions of cities in major societies from the Neolithic Revolution to 1450. • Trace and analyze the changes and continuities in global demographics
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of Geri’s hands was awkward and Geri‚ the main and only character‚ was a little creepy as a result of the abnormal editing. Ordinarily‚ I would support the message behind the motion picture of‚ “You can still have an enjoyable time when you’re alone;” but‚ the editing got in the way of the story. Therefore‚ Pixar would be advised to re-edit the motion picture using modern editing software so the movie presents itself as clean and friendly for inexperienced and unsophisticated audiences who would
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