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L'Hopital's Rule (Calculus) 
Flash 
Tool 

[0]

Uses l'Hopital's rule to find the limit as x goes to infinity of (1+1/x)^x.
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Torricelli's Law

Differential equations (Calculus) 
Flash 
Tool 

[1]

An animation of water flowing from a tank in accordance with Torricelli's Law.
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Animation of the ball with a g...

Velocity, speed, accel. (Calculus) 
Java Applet 
Tool 

[0]

An animation of a ball bouncing up and down, with a clock and graphs of the ball's height and velocity versus time.
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Antiderivatives and Initial Va...

Differential equations (Calculus) 
Java Applet 
Tool 

[0]

Slide a function to see different solutions of the equation dy/dx = x^2.
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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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Average Velocity

Velocity, speed, accel. (Calculus) 
Java Applet 
Tool 

[0]

Analyze graphs of the position, velocity, and acceleration of a ball dropped from the Leaning Tower of Pisa.
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Basins of Attraction

Applications of Derivatives (Calculus) 
Java Applet 
Tool 

[0]

Experiment with Newton's method and basins of attraction.
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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: Basic

Monotonicity and concavity (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that introduces curve analysis, with questions to answer using the applet. Includes a rescalable presentation version with large fonts.
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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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Curve Analysis: Special Cases

Monotonicity and concavity (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that explores special cases of curve analysis, with questions to answer using the applet. Includes a rescalable presentation version with large fonts.
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Derivatives of Inverses

Derivative of inverse function (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that illustrates the derivative of inverse functions, with questions to answer using the applet. Includes a rescalable presentation version with large fonts.
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Derivatives of Sine and Cosine

Velocity, speed, accel. (Calculus) 
Java Applet 
Tool 

[0]

An animation showing a point rotating around a circle, and the velocity of that point.
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Derived Function

Velocity, speed, accel. (Calculus) 
Java Applet 
Tool 

[0]

How do average velocity and acceleration compare with the graph of a function?
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Differential Equations(Paramet...

Slope fields (Calculus) 
Java Applet 
Tool 

[0]

Graph functions based on slope fields.
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Direction Field of First Order...

Slope fields (Calculus) 
Java Applet 
Tool 

[0]

This is a fairly quick applet for graphing direction fields for differential equations of the form y' = f(x,y). Clicking on the field will produce the solution curve through the selected point. Limi...
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Direction Fields

Slope fields (Calculus) 
Java Applet 
Tool 

[0]

Explore slope fields corresponding to various functions.
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EggMath: Embryo Calculus

Applications of Derivatives (Calculus) 
Java Applet 
Tool 

[0]

How quickly does a chick embryo grow? Three applets explore powers of two, the graphs of exponential functions, and the slopes of tangent lines to exponential functions.
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Euler's Method

Euler's Method (Calculus) 
Java Applet 
Tool 

[0]

Approximate a function with line segments.
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Euler's Method

Euler's Method (Calculus) 
Java Applet 
Tool 

[0]

Use Euler's Method to approximate solutions to differential equations you choose.
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Finding the value of root a us...

Applications of Derivatives (Calculus) 
Java Applet 
Tool 

[0]

Use Newton's Method to find the roots of selected functions.
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Funderstanding Roller Coaster

Velocity and accel. vectors (Calculus)+ 
Java Applet 
Tool 

[0]

This physicsexploration applet allows the user to experiment with different roller coaster track designs, then test. Friction and mass are modeled. Includes hot links to explanations of various phys...
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Graph of e^(ax) and Equiangle ...

Planar curves  polar form (Calculus) 
Java Applet 
Tool 

[0]

Investigate the graph of e^(ax) in polar coordinates.
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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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Implicit Differentiation

Implicit differentiation (Calculus) 
Java Applet 
Tool 

[0]

Find sections of a curve where y can be defined as a function of x.
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