Subject –MATHEMATICS (Time – Two hours and a half) Answers to this Paper must be written on the paper provided separately. You will not be allowed to write during the first 15 minutes. This time is to be spent in reading the question paper. The time given at the head of this Paper is the time allowed for writing the answers. Attempt all questions from Section A and any four questions from Section B. All working‚ including rough work‚ must be clearly
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Dollar 000234333 EFT4: Math: Task 5: Surface Area of Cubes Introducing Surface Area For a fifth or sixth grade class to understand the concept surface area in relation to a cube they need to understand what a cube is first. They will learn that a cube is a special type of rectangular solid. The length‚ width‚ and height of a cube are exactly the same. After explaining what a cube is they will need to understand what it means to find the surface area. The surface area is not the same as finding the
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| |Subject: Surface area of a sphere | A connection which could be illustrated‚ and could be understood by students who know the perimeter of a circle‚ runs as follows: Put the sphere of radius R inside a cylinder‚ with the cylinder just touching the equator‚ and cut off at the height of the top and bottom of the sphere. (A cutaway view is in the diagram.) [pic] What is the area of the
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Surface Tension Properties of Liquids Introduction The purpose of this experiment is to measure and record the surface tension of water and other aqueous solutions using capillary rise method techniques and practicing lab safety. In this laboratory the surface tension of water depends on the concentration of the following solutes; NaCl‚ acetone‚ and sodium dodecyl sulfate (SDS). Intermolecular interactions as well as other phases (solid‚ or air) make a liquid exist. The data collected will show
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Surface Tension Steven Brignol Dr. Payne September 15 Introduction: Water’s ability to stick to itself is surface tension. In this lab we were able to measure and detect surface tension by dropping water‚ drop by drop‚ onto a penny. The quantity of droplets that fit on the penny was impressive. Hypothesis: The detergent will thicken the water making a tighter surface tension. Prediction: If soap increased the surface tension‚ then expansion will happen. Materials: (1) Pipette (2) Water
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Mathematics Volume of Solids Formulae for Volume of Solids Cube | Cuboid | Triangular Prism | Cylinder | Cone | Pyramid | Sphere | AnyPrism | s3 | lwh | ½bhl | Πr2h | 1/3πr2h | 1/3Ah | 4/3πr3 | Ah | A = area of the base of the figure s = length of a side of the figure l = length of the figure w = width of the figure h = height of the figure π = 22/7 or 3.14 1. Compute the volume of a cube with side 7cm. Volume of cube: s3 s = 7cm s3 = (7cm x 7cm x 7cm) = 343cm3 2. Compute
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att t e s ie A few words on the history and future of surface chemistry For more than 400 years‚ important scientists and mathematicians like Leonardo da Vinci‚ Isaac Newton‚ Pierre Simon Laplace‚ Thomas Young‚ Siméon Denis Poisson‚ Josiah Willard Gibbs‚ Frederick M. Fowkes have done valuable pioneer work for the explanation of surface tension‚ capillarity‚ wetting and other interfacial problems. As a sector of physical chemistry‚ surface chemistry in connection with colloid chemistry established
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CHAPTER 3 Response surface methodology 3.1 Introduction Response surface methodology (RSM) is a collection of mathematical and statistical techniques for empirical model building. By careful design of experiments‚ the objective is to optimize a response (output variable) which is influenced by several independent variables (input variables). An experiment is a series of tests‚ called runs‚ in which changes are made in the input variables in order to identify the reasons for changes in
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than the original number. Find the number. 9. A well is dug 20m deep and it has a diameter 7m. The earth‚ which is so dug out‚ is spread out on a rectangular plot 22m long and 14m broad. What is the height of the platform so formed? 10. The total surface area of a hollow cylinder open at both ends is 4620sqcm‚ area of the base ring is 115.5sqcm and height 7cm. find the thickness of the cylinder. 11. A hemispherical bowl is made of steel 0.5cm thick. The inside radius of the bowl is 4cm. Find
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The Role of Surface Engineering in the Automotive Industry The subject of surface engineering in the automotive industry has developed significantly in the last decade. A large driving force for the need for surface treatments has been energy consumption. 30 per cent of all energy consumed in the European Union derives from transportation activities‚ relying solely on fossil fuels. Due to this‚ and the push to reduce the emissions of polluting gases‚ car manufacturers must produce increasingly
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