rights reserved. Objective Solve applied minimum and maximum problems. Applied Minimum and Maximum Problems 3 4 1 14-Oct-14 Applied Minimum and Maximum Problems Example 1 – Finding Maximum Volume One of the most common applications of calculus involves the determination of minimum and maximum values. A manufacturer wants to design an open box having a square base and a surface area of 108 square inches‚ as shown in Figure 3.53. What dimensions will produce a box with maximum volume?
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Example 5: Student work Maths Exploration Newton-Raphson method Rationale- For this project I chose to research and analyse the Newton-Raphson method‚ where calculus is used to approximate roots. I chose this topic because it looked extremely interesting and the idea of using calculus to approximate roots‚ seemed intriguing. The aim of this exploration is to find out how to use the Newton-Raphson method‚ and in what situations this method is used Explanation of the Newton-Raphson method
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The Campbell’s Soup Lab Argument Writing AP Calculus AB Follow-Up: Suppose you are the owner of Saucy Soup Company. You need to present an argument to your board of directors as to what shape soup can your company should sell. Some things to keep in mind: • ECONOMIC REQUIREMENTS: The product must be cost efficient. • FUNCTIONAL REQUIREMENTS: The product must also be easy for retailers to store and stock on the shelves or the floor‚ and simple to process at a check-out counter
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Wah Cantt STUDENT PROGRESS REPORT Name: Arooj Safdar Reg. No: CIIT/SP12-BS(CS)-065/WAH Degree Incomplete Course No. Course Title Credite Hours Marks LG EEE121 Electric Circuits Analysis I 4 85 A- MTH104 Calculus and Analytic Geometry 3 85 A- MGT101 Introduction to Management 3 81 B+ HUM100 English Comprehension
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TRIGONOMETRY EXPLORATION by Willy Wibamanto 1. The graphs y= and y= intersect at the origin. 2. The graphs intersect at the origin. 3. As the degree of the polynomial increases‚ the graphs are approaching y=sin (x). 4. As the degree of the polynomial increases‚ the graphs are moving away from y=cos (x). 5a. When y = sin (1)‚ y = 0.841. Using the Taylor series with two terms‚ y = 0.830. When y = sin (5)‚ y = -0.958. Using the Taylor series with two terms‚ y = - 15
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Calculus in Warfare Introduction Throughout the all of human history‚ one aspect truly stands out as definitive of human political interaction: war. From the story of Abraham militantly freeing his nephew Lot from the hands of a coalition of Mesopotamian kings to modern nuclear war threats between North Korea and the West‚ war has ever been one of the defining characteristics of human society and government. Furthermore‚ each society has specific ideas about war and how to effectively strategize
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EMG 211: ENGINEERING MATHEMATICS I COURSE OUTLINES PART ONE • • • • Maxima and Minima of Functions of a Single Independent Variable Tangents and Normals Differentiation Techniques of Differentiation PART TWO • Techniques of Integration: Indefinite Integrals‚ Integration by Parts‚ Definite Integrals‚ Improper Integrals • • Applications to Engineering Systems Introduction to Ordinary Differential Equations (ODE) and Partial Differential Equations (PDE) PART THREE • • • Properties and Evaluation
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Sustainability and Calculus Introduction and Preview Calculus is all about change. Calculus provides the mathematical tools to examine important questions about dynamic behavior; e.g. how fast is the world population increasing? If we continuously release a pollutant into a lake at a known rate‚ what’s the total amount of pollutant that will be dumped into the water in the next five years? How long will the nonrenewable supplies of coal and oil last if we maintain the current per capita
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tons of silver and t in years from the opening of the mine. Which is an expression for the amount of silver extracted from the mine in the first 5 years of its opening? A. B. C. D. E. 3. Joe Student ’s calculus test grades (G) are changing at the rate of 2 points per month. Which is the expression that says this? A. B. C. D. E. 4. If f is a continuous and differentiable function‚ then approximate
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economies‚ and other situations where people make choices. Understanding of many economic issues can be enhanced by careful application of mathematical methods. This course reviews concepts and techniques usually covered in algebra‚ geometry‚ and calculus‚ focusing on those elements most relevant to economic analysis. The course applies these mathematical concepts and techniques to model economic behavior and outcomes. The course meets twice per week for a class session with the professor and then
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