...FINAL SEMESTER EXAMINATION (MAY 2012 SESSION) MATHEMATICS I FMT0013 LECTURER :…………………………………………………………………………… MATRIC NO : …………………………………………. VENUE PROGRAMME : ..…………………………………… : …………………………………………. OCTOBER 2012 DURATION : 3 HOURS INSTRUCTIONS: 1. Candidates must read all questions carefully. 2. The examination script consists of the followings: Part A Types of Questions 5 Short Answers B 3 Short Answers Instruction Answer ALL questions Answer TWO (2) questions ONLY Answer Sheets to be Used Answer booklet Answer booklet THIS EXAMINATION SCRIPT CONTAINS 7 PAGES INCLUDING THE FRONT COVER DO NOT OPEN THE EXAMINATION SCRIPT UNTIL FURTHER INSTRUCTION PART A CONFIDENTIAL FMT0013 (70 marks) Time: 2 hours INSTRUCTION This part consists of FIVE (5) questions. Answer ALL questions in the answer booklet provided. 1. (a) Simplify the following expressions without using the calculator: i. 2 5 2 5 (2 marks) ii. 3 3 3n 2 36 3 10 3 n 3n 1 3 (3 marks) (b) Solve the following inequalities: i. 2x 5 3 6 (2 marks) ii. 2x x 1 1 (4 marks) (c) It is given that the quadratic equation x 2 5x 0 with two roots α and β. 2 5 Form a quadratic equation whose roots are 5 and . (4 marks) 2. (a) Given that 2 x i. 5 3 ( is a factor of P x ) 2 x 13 x 2 mx 20 . Find the value of m . (2 marks) ii. ...
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...Patchwork and appliqué are very ancient techniques and sometimes referred to as one. The only difference between them is that patchwork or piecework is the process of seaming small pieces of fabric in to a larger whole, while appliqué is the process of sewing smaller pieces of fabric onto a larger background fabric. It is a technique of forming a single pattern with different pieces of cloth. Pieces of fabric are applied on top of another for decorative or functional purposes. 1.1 History Appliqué is an ancient technique of creating beautiful and decorative items with different pieces of cloth. Nomadic people of the desert have long pieced together their tents and even decorated them with elaborate appliqué. Festive patchwork textiles created for special occasions are found in many places throughout India. Pieced and appliquéd household items are made by women for dowries. These objects include decorative bags, pillows and sitting mats. Appliqué played a part in religious textiles as well. It has long been used to make decorative clothing, because most clothing is used until it is worn out and then again reused to create beautiful patterns out of the worn fabric. This serves both economic and decorative purposes. Small pieces of fabric are cut and joined side by side to make a large piece of fabric or for repairing a damaged fabric. The craft seems to have been prevalent all over India. “ In all periods there are to be found in pieced quilts both unique and conventional designs; within...
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...Renaissance and Baroque styles and is a good example of the transition into more romantic paintings. The composition of this piece is well balanced. Although the subjects are cropped, they are cropped on both the right and the left side, making the painting horizontally balanced. This also gives an effect to the viewer that there is more depth to what is shown; giving the feeling that the viewer is almost in the battle with them. These cropped subjects nicely frame the triangular composition of the people fighting in the middle who are piled on top of each other. The triangle’s base begins with figures on the floor and rises to a point with other figures standing so the viewer can see the actions of every character. Use of geometric patterns are also used in the lighting to lead the eye around the composition. This is seen in an upside down triangle. Our eyes first catch attention in the foreground, where there is a tenebristic spotlight effect. They then move to the next most lit spot to the right in the mid-ground, and then to the left. This lighting moves the viewer’s eyes through the depths of the picture plane and also reveals systematically what is happening in this painting. From this movement, you can see that women are placed into the battle. As your eye moves in the directed places, you see the women being taken by the centaurs, relaying what the battle is possibly about. Many of the subject’s arms are raised to create movement as well as action. The arms direct our...
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...chance to get a high grade. An argumentative essay is organized according to one of these five patterns: Pro-Con pattern, Con-Pro pattern, 3-Con pattern, Claim / Counterclaim pattern or Alternating pattern. PRO-CON pattern | | | In this simple pattern for an argumentative essay, you discuss two PRO points and one CON point. Recommended for short school essays on any topic. This pattern contains five paragraphs: introduction, conclusion, and three paragraphs, one for each PRO or CON point. | CON-PRO pattern | | | This pattern for an argumentative essay is very similar to the previous one, but the CON point comes first. Recommended for short school essays on any topic. The pattern contains five paragraphs: introduction, conclusion, and three paragraphs, one for each PRO or CON point. | 3-CON pattern | | | In this pattern for an argumentative essay you don’t explicitly present any PRO point, but instead refute three CON points. Recommended for short school essays on any topic. The pattern contains five paragraphs: introduction, conclusion, and three paragraphs, one for each CON point. | Claim / Counterclaim pattern | | | This pattern for an argumentative essay is more advanced than the previous three, and allows for a more complete development of your argumentation. Recommended for advanced school and college essays on any topic. The pattern contains introduction,...
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...Critical Thinking Notes for Quiz 1)Collection of Information Skill and defination | Why important | How | Question to ask | a) Identifying assumption: Recognizing when something is taken for granted or presented as fact without supporting evidence (e.g., you might assume a woman on a maternity unit has just had a baby) | By identifying assumptions, you begin to apply logic to the situation and avoid jumping to conclusions and making errors in judgment. | To identify assumptions, make sure that you have a complete picture of what's going on with the patient | What's being taken for granted here?” and “How do I know that I've got the facts right?” | b)Assessing systematically and comprehensively: Using an organized, systematic approach that enhances your ability to discover all the information needed to fully understand a person's health status (e.g., What are the actual and potential problems? What needs aren't being met? What are the person's strengths and resources?) | Having an organized approach to assessment prevents you from forgetting something Use both subjective and objective data | You must decide the purpose of your assessment and use an approach that gets the information needed to achieve your purpose. For example, medical assessments focus on identifying diseases or organ or system problems, rather than problems with human responses or activities of daily living | What infor I Need to know in order to treat this person?What would be my approach for this...
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... Once we have molecular nanotechnology based manufacturing, can produce solar panels extremely ineffictively, basically at the costs of raw materials. Could eventually be as inexpensive as a penny per square meter. Could put solar panels everywhere, on buildings, majority of human surfaces. Could put solar satellite into space and beam to earth via microwave. Each unit could provide billions of watts of electricity. Medicine 213 New ECG analysis for long-term unobtrusive monitoring, detect early warning signs of heart disease. AI programs to do pattern recognition and intelligent data mining in development of new drug therapies. Intelligent datamining tools to find new ways to distupt metabolisms of pathogens. CPOE checks for every order for possible allergies in a patient, drug interactions, duplications, drug restrictions, guidelines, ect. Patter recognition applied to protein pattern patterns can better detect ovarian cancer. Augmentations 197 Billions or trillions of nanobots can be put into the bloodstreem. Use to scan the human brain to reverse engineer it. Blood...
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...Name Instructor Date Organizational patterns in speech There are four types of organizational patterns they include topical, chronological, and partial as well as cause and effect patterns. The topical pattern is used to stress natural divisions or categories in a topic. It gives out the greatest freedom to a structure. Such a speech is topically organized with main points well articulated in a more randomly manner by sub-topics. The chronological pattern is used to describe a series of developments in time or a set of actions occurring sequentially the main points are oriented towards time. Spatial pattern is used to emphasize physical arrangements. The main points orients towards space or a directional pattern. The cause-effect pattern is used to demonstrate a topic in terms of its underlying cause or effects. The paper focuses on the organizational pattern best suited to a speech given in teenage pregnancy. The best organization pattern for this kind of speech is the causal division that organizes a speech from the cause to effect or effect to cause. The pattern of speech may be used to persuade the teenagers not to indulge in sex before marriage sex being the cause and pregnancy the effect. Some action needs to be taken to solve teenage pregnancy problem. The first point is the cause of teenage pregnancy, and the effect is sex handles teenage pregnancy. The solution is educating the teens on the importance of abstinence. Another cause is curiosity where teenagers want...
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...Search Patterns When a crime has been committed and investigators need to search for evidence, there are different search patterns that investigators can choose from. These search patterns include spiral, line, zone, and grid (Siegel & Mirakovits, 2013). Depending on the crime scene, the investigator will choose from one of these search patterns that will best utilize the search for evidence. When an investigating team needs to search for evidence in a field where the field is overgrown, a grid search is a good search to utilize. When a field is overgrown, the searches may have to crawl on their hands and knees to locate any evidence and perform a thorough search. A grid line search consists of searchers following a line pattern and then following another line pattern that is perpendicular to the first line pattern (Lee, Palmbach, & Miller, 2001). The grid search pattern is a good search to utilize because it allows two different searchers, or the same searcher, to search the same area twice. Therefore, the searchers a more likely not to miss any evidence that needs to be collected. A con to the grid line search is that it is very time consuming and if the boundaries to be searched are not well established, than the search will not be very thorough (Lee, Palmbach, & Miller, 2001). The grid line search was chosen for this scenario because a thorough search can be accomplished by having two different searchers look over the same area. If one searcher...
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...to information. We restore classic cars so he finds out the cost of the parts that we need. He is always on the internet to see the top dollar amount that we could get from restoring certain models. He likes to ask a lot of questions because he likes details, unlike myself. Yet we work well together with this pattern. * * Technical Reasoning: He uses first * I love my fiancees Technical Reasoning. There's not much that he can't fix or operate. He uses his Technical Reasoning when he works on cars, fixes the plumbing, when building furniture, and any fabricating that may be needed. His interest lies in taking things apart and putting them back together just to see how something works. Anything that is broke he can fix, this is something that gives him pleasure. * * Confluence: He uses as needed * My fiancee is willing to take more risks than I am. I like things simple and undisturbed. By his actions, he encourages me to take risks. He bought a big screen T.V. that I didn't think we could afford. When I was afraid to go back to school, he didn't push me, he just gave me a nudge. Now he is trying to talk me into buying a house. This is where our patterns conflict. When you take risks you never know what the...
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...CORPUS CHRISTI SCHOOL END OF THIRD TERM EXAMINATION SECTION A (50 MARKS) 1) How loud or soft a music is termed ………………………….. a. Dynamic b. Rhythm c. pitch 2. Using alphabet to create patterns by arranging and pasting is called …………………………….. a. letter colle b. frottage c. drawing 3. The combination of long and short sounds in music is called…………………….. a. dynamics b. rhythm c. pitch 4. In music how high or low the music is termed ………………………………. a. dynamics b. rhythm c. pitch 5. In dancing when someone lift the arm high and wave in the air it can be referred to as ….............. a. instruments b. ensemble c. gesture 6. A design or a pattern used as a decoration is called ………………………………… a. appliqué b. pattern c. motif 7. A type of needle work in which small pieces of fabric are sewn or stuck in a pattern onto a larger piece is ……………………………….. a. appliqué b. pattern c. motif 8. ………………………………… is the expression of feelings and ideas using tools like pencil, crayon, and charcoal on a flat surface. a. Drawing b. Frottage c. Letter colle 9. A way in which something such as lines, shapes, colours are arranged to form a design is called ……………………………………….. a. colouring b. drawing c. pattern making 10. Rubbing the surface of paper against a rough surface using pencil, crayon or charcoal is called ………………………………………… a. letter colle b. frottage c. copying 11. Which of these is used for measuring? a. needle b...
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...grades. Study habits, sleeping pattern eating pattern and night life are the factors that affect the academic performance of students. Aside from these four, there are still other reasons like family problem, finances, peer pressure, lack of confidence and genetic predisposition Talking about lack of study habits, one has to establish number of hours, frequency and time to studying. The number of hours is very important for studying because while studying will take time to process information in the brain. One has to concentrate and during concentration, he or she must focus on what he or she studying and this requires time. Frequency of studying in important because there are subjects that needs time. For example, in mathematics and other subject that require skills, one has to perform the operation several times so that he or she can master the process. Time for studying is important because one is affected by mood, stress and hormonal activities for the day. Early in the morning most of the senses not yet prepared for heavy mental work so one need is to warm up so that one’s senses will also prepared. But this will require habit because some people like to study early morning when they are not yet tired or in the evening when they are not pressured to prepare for school activities. Academic performance of students is also affected by sleeping pattern. Sleeping pattern can be described by number of hours in sleeping, continuity in sleeping and use of sleeping enhancers. All of...
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...Part A Draw a CLD to explain the fish regeneration dynamics of ‘Lakeland Reserve’ based on the initial 500 fish in the Reserve area, assuming there is no fishing or other source of predation. Sketch a BOT graph as a reference mode that shows the pattern of change of the fish population over the 40 year period. Briefly explain the dynamics that your CLD reveals, any archetypal patterns of behaviour, and any other insights your initial analysis demonstrates. (This task has similar requirements to Assignment 1). BOT The BOT demonstrates the patterns of behaviour the fish population at ‘Lakeland Reserve’ over 40 years Year FISH POPULATION PATTERN OF BEHAVIOUR OF FISH POPULATION 500 1000 1500 2000 2500 3000 3500 4000 40 Figure 1 As shown in Figure 1, at the beginning (t=0) there are only 500 fishes. Hence, more fishes are added to the reserve and the fish population in the reserve keeps growing. The rate at which fishes are added is at an accelerating rate. However, when the reserve reaches its maximum capacity at 4000 fishes, the fish population starts to decline at a diminishing rate. CLD The CLD visualizes the interrelated variables in terms of the behaviour of fish population at ‘Lakeland Reserve’ during this period Figure 2 Figure 2, the casual loop diagram including three loops (two reinforcing loops and one balancing loop), demonstrates the fish regeneration dynamics of ‘Lakeland Reserve’ based on the initial 500 fishes in the Reserve...
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...Similarity based Analysis of Networks of Ultra Low Resolution Sensors Relevance: Pervasive computing, temporal analysis to discover behaviour Method: MDS, Co-occurrence, HMMs, Agglomerative Clustering, Similarity Analysis Organization: MERL Published: July 2006, Pattern Recognition 39(10) Special Issue on Similarity Based Pattern Recognition Summary: Unsupervised discovery of structure from activations of very low resolution ambient sensors. Methods for discovering location geometry from movement patterns and behavior in an elevator scheduling scenario The context of this work is ambient sensing with a large number of simple sensors (1 bit per second giving on-off info). Two tasks are addressed. Discovering location geometry from patterns of sensor activations. And clustering activation sequences. For the former, a similarity metric is devised that measures the expected time of activation of one sensor after another has been activated, on the assumption that the two activations are resulting from movement. The time is used as a measure of distance between the sensors, and MDS is used to arrive at a geometric distribution. In the second part, the observation sequences are clustered by training HMMs for each sequence, and using agglomerative clustering. Having selected an appropriate number of clusters (chosen by the domain expert) the clusters can be used to train new HMM models. The straightforward mapping of the cluster HMMs is to a composite HMM, where each branch of...
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...of wallpaper manufacturers as these manufacturers must not only produce a good that is highly valued but is also offered at a reasonable cost. When wallpaper pattern designs become obsolete, markdowns are necessary to help get rid of this old inventory. These markdowns are a key factor in the recent trend of decreasing net income. Since Chabot has made the decision to reimburse retailers for markdowns, Chabot’s total profit margin is reduced relative to the markdown reimbursement costs. Markdown costs have nearly tripled since 2006 and show no sign of slowing down because every four months a new pattern is introduced which creates less demand for the older patterns. The markdowns can be traced back to poor forecasting. Chabot’s forecasting is causing them to build up a very undesirable level of obsolete inventory. This increasing number of obsolete inventory also has a negative effect on inventory turnover. Retailers are very concerned with this turnover rate because it carries a heavy cost on inventory holding. Retailers are threatening to remove Chabot’s products from their shelves in order to make space for products with higher turnover rates which will help minimize inventory costs for the retailers. Keeping up with demand is another issue for Chabot. Chabot is unable to keep a steady supply of its successful patterns which is unacceptable to loyal...
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...Before the Beginning: A Look at Pre-Amberverse Cosmology "...And the Queen of Kashfa sees with the Eye of the Serpent." "I don't know that she sees with it," I said. "She's still recovering from the operation. But that's an interesting thought. If she could see with it, what might she behold?" "The clear, cold lines of eternity, I daresay. Beneath all Shadow. No mortal could bear it for long." Suhuy & Merlin, Prince Of Chaos Long ago, before even Chaos reigned, there dwelt a race of Ancients. How these creatures came into being is unknown, perhaps even by them. Some speculate they spontaneously formed, others would have one believe a greater power yet created them. Whatever the truth of the matter, they existed before all that is now known. The Ancients set about the task of creating a place for themselves to dwell. They created a fabric of existence, a latticework of power which defined the Universe and gave a meaning to space and time. They used these "Pathways" like a giant web, travelling along it and creating homes (referred to now as Shadows) upon the structure. Within this universal framework they would dwell, war, and finally they would die. No one can name the reason for their wars. Perhaps there was none, if there ever is such a thing. At first they fought with their creations, creatures of lesser power who were products of their works. They bound these creatures, whom some would call Gods, into the latticework and created Artifacts of Power to draw...
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