value of r that minimizes this by taking the derivative‚ stetting it equal to 0‚ and solving for r. Use that to find h. You’ll find that the dimensions are different from an actual soda can‚ but I’m sure you can think of why this is the case. THE MATH PROBLEM: The surface area of a cylindrical aluminum can is measure of how much aluminum the can requires. If the can has a radius r and a height h‚ its surface area A and its volume V are given by the equations: A=2(pi)r^2 + 2(pi)rh and V=
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candidates sitting the Year 7 Entrance Tests will automatically be considered for an Academic Scholarship; parents do not need to make a separate application. Year 9 Entry Assessment is made on the basis of three written exam papers in English‚ Maths and Science which are designed to enable candidates to show flair. Each paper lasts one hour. The papers all develop National Curriculum areas which are relevant to the age of entry. Applicants for the Academic Scholarships will come to Bethany
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The GMAT Math Bible Je¤ Sackmann / GMAT HACKS May 2008 Contents 1 Introduction 2 How to Use This Book 3 GMAT Math Strategies 4 Basic Facts and De…nitions 5 Mental Math 6 Mental Math: Drill 7 Algebra: Fractions 8 Algebra: Fractions: Drill 9 Algebra: Fractions: Practice 10 Algebra: Decimals 11 Algebra: Decimals: Drill 12 Algebra: Decimals: Practice 13 Algebra: Simplifying Expressions 14 Algebra: Simplifying Expressions: Drill 15 Algebra: Simplifying Expressions: Practice 16 Algebra: Linear Equations
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Item 4B Item 4B Rachel Reiser Maths C Rachel Reiser Maths C Question 1 ab1+f’(x)2 dx y = acosh(xa) If: coshx=12ex+e-x Then: cosh(xa) = 12(exa+e-xa) y = acosh(xa) ∴ y=a(exa+e-xa)2 y=a(exa+e-xa)2 dydx=f’x=ddxa(exa+e-xa)2 dydx=f’x=ddx12aexa+e-xa f’x=12a1aexa+-1ae-xa f’x=exa-e-xa2 f’x2=exa-e-xa22 f’x2=(12exa-12e-xa)(12exa-12e-xa) f’x2=14e2xa-14e0-14e0+14e-2xa f’x2=14e2xa-12+14e-2xa f’x2=14e2xa-2+e-2xa Assuming the catenary is symmetrical‚ the entire length of
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MATH PORTFOLIO NUMBER OF PIECES Kanishk Malhotra 003566-035 (May 2012) In physics and mathematics‚ the ‘DIMENSION’ of a space or object is informally defined as the minimum number of coordinates needed to specify each point within it. Thus a line has a dimension of one because only one coordinate is needed to specify a point on it. A surface such as a plane or the surface of a cylinder or sphere has a dimension of two because two coordinates are needed to specify a point on it (for
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CLASS 8:- Math Revision Worksheet Topic: Profit and Loss 1. A shirt is purchased for Rs 400 and sold for Rs 460. Find the profit and profit percentage. 2. Sonal purchased an article for Rs 2500 and sold it at 25% above the CP. If Rs 125 is paid as tax on it‚ find her net profit and profit percentage. 3. By selling an article for Rs 34.40‚ a man gains 7.5%. What is its CP? 4. On selling tea at Rs 40 per kg‚ a loss of 10% is incurred. Calculate the amount of tea (in kg) sold‚ if the total loss
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Math 5067 001 Homework 1 Due 9/11/13 1. Read Chapter 1 in the DHW text (sections 1.1 – 1.3 are mandatory) and answer the following: a. List at least three incentives for an insurance company to develop new insurance products. b. (Exercise 1.1 in DHW) Why do insurers generally require evidence of health from a person applying for life insurance but not for an annuity? c. (Exercise 1.3 in DHW) Explain why premiums are payable in advance‚ so that the first premium is due at issue‚ rather than in
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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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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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