Browsing: All Content in Calculus for Optimization and extrema Browse discussions |
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Resource Name |
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Technology |
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Optimization: Quiz
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Optimization and extrema (Calculus) |
Computer |
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Quiz (with answers) on optimization problems.
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Principles of Calculus Modelin...
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Optimization and extrema (Calculus) |
Computer |
Activity |
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Exercises on optimization problems.
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The Beach Race
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Optimization and extrema (Calculus) |
TI-Nspire |
Activity |
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In a beach race, contestants must swim to a point along the beach and then run to reach the finish line. Where should I aim to land on the beach so as to minimize my total time for the race? Stu...
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The Art Gallery Problem
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Optimization and extrema (Calculus) |
TI-Nspire |
Activity |
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The question of where patrons should stand to enjoy the best view of a painting is one that art gallery curators must consider on a regular basis. For this activity, we will consider a painting that i...
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Graphs and Derivatives
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Optimization and extrema (Calculus) |
Flash |
Tool |
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Animated exploration of local and global maxima and minima.
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The Longest Ladder
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Optimization and extrema (Calculus) |
Java Applet |
Tool |
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What is the length of the longest ladder that can be carried around a corner? Experiment, then see the solution.
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The Fastest Route
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Optimization and extrema (Calculus) |
Java Applet |
Tool |
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What is the fastest route through the desert and along the road to the town? Experiment, then see the solution.
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Shortest Ladder over a Fence
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Optimization and extrema (Calculus) |
Java Applet |
Tool |
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What is the length of the shortest ladder that can reach from the ground over the fence to the wall of the building? Experiment, then see the solution.
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How to find a function's extre...
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Optimization and extrema (Calculus) |
Java Applet |
Tool |
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What is the largest rectangle that can be inscribed in a right triangle? Analyze the graph of the rectangle's area to find out. Includes exercise, solutions, and didactic background.
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Some Max-Min Problems
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Optimization and extrema (Calculus) |
Java Applet |
Tool |
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A collection of maximization and minimization problems: maximize the areas of various regions, and investigate the behavior of a falling ball.
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Optimization
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Optimization and extrema (Calculus) |
Java Applet |
Tool |
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Try to maximize the area of a rectangle with fixed perimeter.
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Cross Section of Gutter
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Optimization and extrema (Calculus) |
Java Applet |
Tool |
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A gutter is made from a rectangular plate; use trial and error to find the maximum area of the cross section.
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Problem of Maximum of AREA
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Optimization and extrema (Calculus) |
Java Applet |
Tool |
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Look for the maximum area of the given figure.
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Curve Analysis: Global Extrema
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Optimization and extrema (Calculus) |
Java Applet |
Tool |
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A Java applet that explores global extrema, with questions to answer using the applet. Includes a re-scalable presentation version with large fonts.
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Optimization: Maximize Volume
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Optimization and extrema (Calculus) |
Java Applet |
Tool |
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A Java applet that explores optimization through the box problem (creating a box from a flat piece of cardboard), with questions to answer using the applet. Includes a re-scalable presentation version...
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Timmy's Magical Adventure
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Optimization and extrema (Calculus) |
Java Applet |
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Timmy has to travel across a river to save a group of orphans from a burning house. Enter Timmy's walking and rowing speeds, and see his ideal path.
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Area of a Rectangle Inscribed ...
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Optimization and extrema (Calculus) |
Java Applet |
Tool |
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What is the rectangle with the maximum area which can be inscribed in a semicircle? Experiment, then see the solution.
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Box Volume
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Optimization and extrema (Calculus) |
Sketchpad |
Tool |
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Make an open-top box from a sheet of paper by cutting squares out of the corners. See how the volume of the box changes as the sides of the squares change. The link to the tool itself downloads the ...
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