Formulas (to differential equations) Math. A3‚ Midterm Test I. sin2 x + cos2 x = 1 sin(x ± y) = sin x cos y ± cos x sin y tan(x ± y) = tan x±tan y 1∓tan x·tan y differentiation rules: (cu) = cu ′ ′ ′ ′ ′ (c is constant) cos(x ± y) = cos x cos y ∓ sin x sin y (u + v) = u + v (uv)′ = u′ v + uv ′ ′ ′ u ′ = u v−uv v v2 df dg d dx f (g(x)) = dg dx sin 2x = 2 sin x cos x tan 2x = sin x = 2 cos 2x = cos2 x − sin2 x 2 tan x 1−tan2 x 1−cos 2x ‚ 2 integration rules: cos x = 2
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breakdown of individual marks using the abbreviations (M1)‚ (A2) etc. ! write down each part mark total‚ indicated on the markscheme (for example‚ [3 marks] ) – it is suggested that this be written at the end of each part‚ and underlined; ! write down and circle the total for each question at the end of the question. 2 Abbreviations The markscheme may make use of the following abbreviations: M A G C R AG 3 Marks awarded for Method Marks awarded for an Answer or for Accuracy Marks awarded for correct solutions
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h a b hyp opp adj = hyp cos opp = hyp sin opp = adj tan opp hyp adj hyp tan or sin cos adj Volume of prism = area of cross section opp adj cross section h lengt Circumference of circle = 2 r Area of circle = r2 r Volume of cylinder = r2h h 2 Curved surface area of cylinder = 2 rh *P40658A0220* r length Answer ALL NINETEEN questions. Write your answers in the spaces provided. You must write down all the stages in your
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The Oriental Mathematics : Practical Arithmatic and Mensuration ¢º Characteristic of Orient Mathematics | ¢º Babylonian Mathematics | ¢º Egyptian Mathematics | ¢º Marking of Number | | ¡Ý The Egytian Hieroglyphic | | ¡Ý The Babylonian Cuneiform | | ¡Ý The Mayan Numeral System | | ¡Ý The Roman Numeral System | | ¡Ý The Hindu - Arabic Numeral Systern | ¡ß Characteristic of Orient Mathematics In the Nile in Africa‚ the Tigris and Euphrates in western Asia‚ the Indus and
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Discuss the approach to teaching math taken in the Montessori classroom. Montessori is an approach which many have adopted these days as a teaching method for children in preschool. The materials which they use create an environment that is developmentally appropriate for the children. Montessori believes that with the helped of trained teachers and the proper environment which the children are placed in‚ intelligence and different skills will be developed in the child (Casa Montessori‚
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Taras Malsky MT.1102 AB Dr.S.Washburn Egyptian Math The use of organized mathematics in Egypt has been dated back to the third millennium BC. Egyptian mathematics was dominated by arithmetic‚ with an emphasis on measurement and calculation in geometry. With their vast knowledge of geometry‚ they were able to correctly calculate the areas of triangles‚ rectangles‚ and trapezoids and the volumes of figures such as bricks‚ cylinders‚ and pyramids. They were also able to build the Great Pyramid
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Snapchat‚ and Instagram‚ and we must‚ as a culture‚ make a decision on how far we are willing to let technology and those who wield it enter our lives. The Circle by Dave Eggers is a poignant warning of the possible dangers of technology and power gone rampant. The novel concerns an extremely influential internet search corporation known as The Circle whose de facto monopoly on internet searches and online advertising has granted them tremendous wealth and power over governments‚ companies and public
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Part A Q2-Maths Assignment 2012‚ Mrs Pillai Lvl 1 Irrational numbers are numbers that are neither whole numbers nor ratios of whole numbers. Irrational numbers are real numbers in the sense that they appear in measurements of geometric objects--for example‚ the number pi (II). However‚ irrational numbers cannot be represented as decimals‚ unlike rational numbers‚ which can be expressed either as finite decimals or as infinite decimals that eventually follow a repeating pattern. By contrast‚ irrational
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Priyanka Puppala - 3359701 Pernille Hoeyem Haug – 3387021 Mehdy Chioub - 3390000 | Mark 5810 | | Lucie | [The launch of golden circle baby food in Australia] | | Table of Contents Executive summary 2 Market Analysis 2 Golden Circle before the launch 2 The baby food industry 3 Strategic analysis 3 SWOT analysis 3 Golden Circle strategy: 4 Advertising campaign analysis 5 Target market 5 Strategic positioning 6 Advertising campaign message and tone 6 Differentiation
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Your Name: Jennifer Green MAT 205 Final Examination Your Score: of 250 points NOTE: You must show your work on each problem to receive full credit points allocated for each problem (excluding T/F questions) Write a matrix to display the information. 1) At a store‚ Sam bought 3 batteries‚ 15 60-watt light bulbs‚ 46 100-watt light bulbs‚ 8 picture-hanging kits‚ and a hammer. Jennifer bought 12 batteries‚ 3 100-watt light bulbs‚ and a package of tacks. Write the
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