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Optimization: Quiz

Optimization and extrema (Calculus) 
Computer 
Activity 

[0]

Quiz (with answers) on optimization problems.
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Principles of Calculus Modelin...

Optimization and extrema (Calculus) 
Computer 
Activity 

[0]

Exercises on optimization problems.
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The Art Gallery Problem

Optimization and extrema (Calculus) 
TINspire 
Activity 

[0]

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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The Beach Race

Optimization and extrema (Calculus) 
TINspire 
Activity 

[0]

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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Graphs and Derivatives

Optimization and extrema (Calculus) 
Flash 
Tool 

[0]

Animated exploration of local and global maxima and minima.
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Area of a Rectangle Inscribed ...

Optimization and extrema (Calculus) 
Java Applet 
Tool 

[0]

What is the rectangle with the maximum area which can be inscribed in a semicircle? Experiment, then see the solution.
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Cross Section of Gutter

Optimization and extrema (Calculus) 
Java Applet 
Tool 

[0]

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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Curve Analysis: Global Extrema

Optimization and extrema (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that explores global extrema, with questions to answer using the applet. Includes a rescalable presentation version with large fonts.
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How to find a function's extre...

Optimization and extrema (Calculus) 
Java Applet 
Tool 

[0]

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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Optimization

Optimization and extrema (Calculus) 
Java Applet 
Tool 

[0]

Try to maximize the area of a rectangle with fixed perimeter.
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Optimization: Maximize Volume

Optimization and extrema (Calculus) 
Java Applet 
Tool 

[0]

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 rescalable presentation version...
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Problem of Maximum of AREA

Optimization and extrema (Calculus) 
Java Applet 
Tool 

[0]

Look for the maximum area of the given figure.
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Shortest Ladder over a Fence

Optimization and extrema (Calculus) 
Java Applet 
Tool 

[0]

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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Some MaxMin Problems

Optimization and extrema (Calculus) 
Java Applet 
Tool 

[0]

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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The Fastest Route

Optimization and extrema (Calculus) 
Java Applet 
Tool 

[0]

What is the fastest route through the desert and along the road to the town? Experiment, then see the solution.
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The Longest Ladder

Optimization and extrema (Calculus) 
Java Applet 
Tool 

[0]

What is the length of the longest ladder that can be carried around a corner? Experiment, then see the solution.
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Timmy's Magical Adventure

Optimization and extrema (Calculus) 
Java Applet 
Tool 

[0]

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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Box Volume

Optimization and extrema (Calculus) 
Sketchpad 
Tool 

[0]

Make an opentop 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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