'Absolute max' presentation slideshows

MAT 3749 Introduction to Analysis

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MAT 3749 Introduction to Analysis

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The sea-breeze circulation

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Final Jeopardy 203

Final Jeopardy 203. If a sequence of level curves are all closed (i.e. form a closed loop) with each one inside the previous one. Then, some point inside the innermost loop is a________. Formulas 100 Answer. A local max or min. Formulas 101. Show that does not exist. Formulas 101 Answer.

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MAT 1234 Calculus I

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Absolute Max/Min

Absolute Max/Min. Objective: To find the absolute max/min of a function over an interval. Definition 4.4.1.

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Absolute Max/Min

Absolute Max/Min. Objective: To find the absolute max/min of a function over an interval. Definition 4.4.1.

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Chapter 3

Chapter 3. Applications of Differentiation. Definition of Extrema. Figure 3.1. Theorem 3.1 The Extreme Value Theorem. Extreme Value Theorem. If f is continuous on [ a,b ] then f must have both an absolute maximum and absolute minimum value in the interval. Examples:.

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PowerStove: Cooking for a Third of the World

PowerStove: Cooking for a Third of the World. MULTIDISCIPLINARY Senior Design Projects P12441 & P12442 2011-2012. Motivation. Two and half billion people depend on biomass (wood, dung, or agriculture residues) primarily for cooking

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4.7 Optimization Problems

4.7 Optimization Problems. Steps to follow for max and min problems. (a) Draw a diagram, if possible. (b) Assign symbols to unknown quantities. (c) Assign a symbol, Q , to the quantity to. be maximized or minimized. (d) Express Q in terms of the other symbols.

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Final Exam Review

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Warm-Up: December 4, 2012

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Extreme Values

Extreme Values. Intervals. Notation Set Notation Picture. (a,b) [a,b] [a,b) (a,b] (a,?) [a, ?). a < x < b a < x < b a < x < b a < x < b x > a x > a. Inequalities. If a < b then a + c < b + c If a < b and c < d then a + c < b + d If a < b and c > 0 then ac < bc

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Section 1-2

Section 1-2. Functions and Their Properties. Section 1-2. function definition and notation domain and range continuity increasing/decreasing boundedness local and absolute extrema symmetry asymptotes end behavior. Functions.

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AP Calculus BC Monday , 07 October 2013

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GISAT 151 Applications of the Derivative

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4.2 Mean value theorem

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Warm Up

Warm Up. Sketch a rectangular coordinate plane on a piece of paper. Label the points (1, 3) and (5, 3). Draw the graph of a differentiable function that starts at (1, 3) and ends at (5, 3). WHAT DO YOU NOTICE ABOUT YOUR GRAPH?. 4.2 Mean value theorem. Goal.

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Critical Numbers and Finding Extrema

Critical Numbers and Finding Extrema. Critical Numbers. Example 2:. Take the derivative of f(x) Set the derivative equal to zero Solve for x. * Remember to test the regions to make sure the critical numbers are valid. Example 1:.

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Advanced Algebra II Notes 7.7 Higher-Degree Polynomials

Advanced Algebra II Notes 7.7 Higher-Degree Polynomials. Example 1: A box is cut from a square of cardboard which is 30 inches by 30 inches. What height will maximize the volume of the box? a) Write an equation for the volume of the box. Remember that the volume of a prism is: V = lwh

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