integer ≠ 0. 7b2 = (7k)2 which is 7b2 = 49k2 which is b2 = 7k2 a and b are divisible by 7‚ which means they do share a common factor of 7. But the rules state that if a and b are in lowest terms‚ they do not share any common factor. So‚ we have a contradiction which means that out assumption (√7 is rational) is false. Since we know that √7 is not rational we prove that √7 is irrational. #18: Another Irrational exponent: Problem: Suppose the E is the number such that 13E = 8. Show that E is an irrational
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instances when an act is both obligatory and morally wrong by following the categorical imperative. An action cannot be both obligatory (morally wrong not to follow) and morally wrong to follow at the same time. The categorical imperative generates contradictions. Premise 1 and 2 of the argument is true as they are a summary of the moral definitions advanced in Kant’s ethics (Luco‚ Week 11 Notes p.3). Premise 3 can be supported through the analogy of the “train problem”. The “train problem” depicts a
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Horror films Movies have been growing increasingly more explicit for years. Horror films are no longer based on a cleverly written script with lots of twists and turns‚ but rather how graphic and twisted the images are throughout the movie. Horror films are appealing to viewers for various reasons. In fact‚ according to some film critics‚ “good” horror films have particular characteristics. Maggie McCutcheon in “Too Disturbing‚ Too Shocking‚” According to Olson‚ people particularly enjoy experiencing
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In his short story titled simply ’Elephant’‚ Raymond Carver focuses on the elephant both literally and figuratively. Literally‚ when the author used the word elephant as the title for his short story‚ he made me think of the narrator in the story as hardworking because elephants are hardworking creatures. The narrator works hard to earn a living and takes his responsibilities seriously. Also‚ the author could have used the word elephant to bring attention to the phrase elephant in the room which
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Why is the relationship between the sciences and humanities so fraught with suspicion? Is there a contradiction in the very aims of these different forms of research‚ and if so‚ can it be reconciled? The relationship between the sciences and humanities is fraught with suspicion because of an important point of contradiction between the two. (Natural) sciences are built primarily on the basis that there is a great deal of objectivity within. For example‚ the optimal temperature of the human body
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Case Study on Hal‚ Inc. Using Triz-based Approach in Problem Solving in Operations and Production Systems (OPS) JAY PRUDENCIO CARLO DIMACULANGAN AAMES CRISPIN AGUAS IE 231 Analysis of Production Systems Master of Science in Industrial Engineering Department of Industrial Engineering and Operations Research University of the Philippines Diliman 20 AUGUST 2011 Table of Contents I. Abstract This paper presents an analysis of the case
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mirrors the vigor of childhood frustration at the nature of things we are powerless to change. Further more‚ the poem speaks as much of the loss of love and the feelings of one left behind as of death itself. The meaning of the poem stays shrouded in metaphors like the references to night as "good". He acknowledged his father stood somewhere he had not‚ and perhaps saw what he could not. Thomas was not ready to let go of such an important part of his life even though his father
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make saffron. Beveridge’s voice in The Saffron Picker is empathetic but at the same time observational and detached. The subject matter itself is quite sombre‚ but the way the poem is composed engages the reader’s emotions and causes the poem to be shrouded in a mood of helplessness as readers feel that the saffron picker is disheartened at her life. When reading the poem analytically though‚ it is clear that the poet herself refrains from passing judgement on the situation. She is empathetic‚ as shown
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Fading in on an ominous nighttime exterior‚ the camera slowly focuses on a high wrought-iron fence with the initial "K." carved into the metal. Beyond spreads Xanadu‚ the vast estate of one of the world’s wealthiest men.Within this estate is a dying man who clutches a snow globe with its make-believe snow swirling about. He utters one word‚ "Rosebud‚" and dies‚ dropping the ball‚ which breaks into tiny shards. So begins Orson Welles’s “Citizen Kane”. “Citizen Kane” chronicles the life of Charles
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Persepolis Film Review – Women’s Rights and Cultural Shifts Iran during the Iranian Revolution and the Iran-Iraq war was shrouded in darkness; it represents a time of major oppression by the Islamic-based government and is marked a huge shift in culture for the Iranian people‚ protests‚ and general resentment of the government. The coming-of-age film‚ Persepolis‚ reveals the plight of a young girl trying to find herself whilst simultaneously living in fear and being prosecuted for her seemingly
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