= −2 1 5 1 0 1 0 1 0 2 7 2 −3 2 1 0 1 −2 11 −2 21 −2 −7 12 −7 −3x2 = 21 x1 + 2 x2 = −2 x2 = −7 x1 = 12 x2 = −7 1 2 CHAPTER 1 • Linear Equations in Linear Algebra 3. The point of intersection satisfies the system of two linear equations: x1 + 5 x2 = 7 x1 − 2 x2 = −2 1 1 5 −2 7 −2 x1 + 5 x2 = 7 Replace R2 by R2 + (–1)R1 and obtain: Scale R2 by –1/7: Replace R1 by R1 + (–5)R2: The point of intersection is
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Simple Harmonic Motion Ethan Albers Case Western Reserve University‚ Department of Physics Cleveland‚ OH 44106 Abstract: In this lab‚ my partner and I observed oscillations that were translational and rotational. The two forms we studied must have a form of a restoring force that is proportional to the displacement of the object from its point of equilibrium. This produces the harmonic motion which this lab wants. At small and big amplitudes we measured/observed the translational oscillation
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The Central Police Department had recently been criticized in the local media for not responding to police calls in the downtown area rapidly enough. In several recent cases‚ alarms had sounded for break-ins‚ but by the time the police car arrived‚ the perpetrators had left‚ and in one instance a store owner had been shot. Sergeant Davies had been assigned by the chief to find a way to determine the optimal patrol area (dimensions) for their cars that would minimize the average time it took to respond
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DETERMINANTS AND ECONOMIC CONSEQUENCES OF COLONIZATION: A GLOBAL ANALYSIS Arhan S. Ertan‚ Louis Putterman Abstract Existing research in the area of economic growth suggests that the era of colonization has had an impact upon the modern levels of economic development of countries around the globe. However‚ why some countries were colonized early‚ some late‚ and others not at all‚ and what effect these differences have on current national income‚ has not been studied systematically. In the first part
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Make the Present Simple Tense: Structure: subject+auxiliary verb+ main verb+object do base There are three important exceptions: For positive sentences‚ we do not normally use the auxiliary. For the 3rd person singular (he‚ she‚ it)‚ we add “s” to the main verb or “es” to the auxiliary. For the verb to be‚ we do not use an auxiliary‚ even for questions and negatives. Only for interrogative and negative sentence we use auxiliary verb. Example : Look at these examples with the main
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Mona Vaidya 02/04/2014 CHE 317 Laboratory Experiment #1: Simple Distillation of Two Volatile Liquids Containing Non-Volatile Impurities Introduction: Simple distillation is a commonly used method to separate and purify the mixtures of organic liquids into their original components. Mixtures of two miscible liquids with two different boiling points were separated. Therefore‚ it can be said that the two organic compounds are separated by exploiting the different boiling temperatures of the liquids
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Experiment 1 Simple Reaction Time Abstract Summary The Research Instructor conducted an experiment about Simple Reaction Time. The Subject hold the timer while the Experimenter gave a go signal‚ and the Subject started the timer and shared stories. The Recorder used a cell phone to track the time. The Subject was not able to see the timer‚ and also the data that was being recorded. This was performed forty-five trials. Afterwards‚ the Experimenter and the Subject switched roles and performed ten
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Experiment An investigation of the simple pendulum 2.0 Objectives The purpose of the experiment is to investigate the time taken on the greatest possible precision of period of simple pendulum and the value of g‚ acceleration due to gravity and two different periods of both big and small simple pendulum’s oscillations. 3.0 Summary of Result The results of the experiment have proven the acceleration due to gravity and the precision of period of simple pendulum. Besides that‚ the length
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Identifying language techniques Composers use various language techniques or features to make their texts more interesting and engaging to the responder. Some language techniques used by Stephen Herrick in The Simple Gift are: • simile: comparing one thing with another using the words ‘like’ or ‘as’ • metaphor: a comparison where one thing is said to be another • colloquial language: everyday speech characterised by informal language and shortened words (g’day‚ can’t) • direct
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Simple Sentences 1. At the five year old’s’ first‚ chaotic soccer practice‚ the unnamed team’s confluence of kooky ideas led to the team name of “Shining Star Frogs”. Metacognition: For this sentence‚ the use of a prepositional phrase establishes context for the sentence in that it shows why the team is gathered. With the addition of the adjective “unnamed”‚ the need for collecting team name ideas is further exemplified. The greek affix con allows for better understanding of the word because con
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