CURVE SKETCHING This is a handout that will help you systematically sketch functions on a coordinate plane. This handout also contains definitions of relevant terms needed for curve sketching. Another handout available in the Tutoring Center has 3 sample problems worked out completely. ASYMPTOTES: This handout will discuss three kinds of asymptotes: vertical‚ horizontal‚ and slant. VERTICAL ASYMPTOTES We define the line x = c as a vertical asymptote of the graph of ‚ iff (if and only
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FIELD WORK NO. 5 LAYING OF A COMPOUND CURVE USING TRANSIT AND TAPE OBJECTIVES: To be able to lay a compound curve by incremental chords and deflection angle method. To master the skill in leveling‚ orienting‚ and using transit effectively. To work cooperatively with one’s group mates and efficiently perform the required task. MATERIALS/INSTRUMENTS: 2 range poles Chalks 50 meter tape Theodolite METHOD/PROCEDURE: The professor gives the following data: I1= 60⁰ D 1=
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Population Trends in China The goal of this mathematical study is to explore the different functions that best model the population of China from the years 1950 to 1995. Year | 1950 | 1955 | 1960 | 1965 | 1970 | 1975 | 1980 | 1985 | 1990 | 1995 | Population in Millions | 554.8 | 609.0 | 657.5 | 729.2 | 830.7 | 927.8 | 998.9 | 1070.0 | 1155.3 | 1220.5 | Using the Chinese population data from 1950 to 1995‚ let us construct a graph using technology. Before graphing the data though‚ we must
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Which type of surface will produce the fastest race time? Concrete‚ sandpaper‚ or gravel? If I race a remote control truck on a concrete‚ sandpaper‚ and gravel surface‚ I think the truck will go faster on the concrete surface. 1. Gather all of your materials. 2. Using your measuring tape‚ measure 12 ft in distance from the starting point to the finish line. Make sure your area is flat and dry. 3. Stick pieces of tape at the beginning and end of your track to form a clear
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In Latin‚ the word ‘calculus’ means ‘pebble‚’ meaning that small stones were used to calculate things. Calculus is essentially the study of change‚ and the pebbles represent small‚ gradual changes that can produce impressive results. The origin of calculus is not the work of a single man‚ not even the work of the two men pictured above - but like most major discoveries‚ a gradual build of overlapping discoveries‚ something very similar to calculus itself. The question over the creation of the branch
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C2 differentiation Maximum points‚ minimum points and points of inflection All 3 types of point are easy enough to spot on a graph: • Maximum points are the tops of ‘peaks’ • Minimum points are bottoms of ‘troughs’ • Points of inflection are where a curve stops turning ‘left’ and starts turning ‘right’ (or vice versa). An example is the point (0‚1) on the curve [pic]+1 Notes (i) Any point on a curve where the gradient is zero can be
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Groyne Investigation FINAL Report‚ Alice Cearns ABSTRACT The purpose of the investigation is to analyse the effect a groyne has on a beach’s formation and sand deposition‚ and the seasonal impact the ocean has on its shoreline. South Cottesloe beach contains native plants‚ from berry saltbushes to red-eyed wattles; it has accumulated sea wrack and rocky surfaces especially south of the groyne‚ and sand dunes running down to the swash zone. With fences running parallel to the water line‚ this
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Maryland‚ College Park‚ Maryland 20742 Communicated by A. Roset!feld Received October 23‚ 1974 Derivative operators such as the gradient and Laplacian have been used for many years to detect edges in pictures. This note points out a possible advantage of using combinations of such operators for edge detection. Isotropic derivative operators such as the gradient and Laplacian are commonly used [1 ] to detect edges in pictures. For digital pictures‚ these operators are approximated by finite
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A Differential Diagnosis Mnemonics Handbook - and the Parts of the Medical History By Allan Platt‚ PA-C‚ MMSc Mnemonics are memory tools to help in the memorization of long lists. These differential diagnosis and medical history mnemonics are intended to aid memorization. These mnemonics are not all inclusive and should be used in conjunction with standard textbooks of medical diagnosis and differential diagnosis. The electronic text in PDF or word has hyperlinks to navigate. Index Acute Abdominal
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wage gap between women is no longer relevant (Hakim‚ 2006). But I’m not going to be of the same mind with Hakim on this. There is significant disparity in work gender in Singapore. In this essay I have decided to address the issues of work gender differential in Singapore such as gender inequality‚ Wage Gap and Glass ceiling. Sex War is not over in Singapore While it is true that Singapore has become a world-class city with highly advancements in many aspects‚ however‚ it not a true sentiment
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