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Areas Bounded by Polar Curves

Area of a region (Calculus) 
Java Applet 
Tool 

[0]

Finds the area of a region defined by the equation in polar coordinates r = 4 sin(t).
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Areas Bounded by Polar Curves

Area of a region (Calculus) 
Java Applet 
Tool 

[0]

Finds the area of a region defined by the equation in polar coordinates r = sin(3t).
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Areas Bounded by Polar Curves

Area of a region (Calculus) 
Java Applet 
Tool 

[0]

Finds the area of a region defined by the equation in polar coordinates r = 2 + 3 sin(t).
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Areas via Polygons

Area of a region (Calculus) 
Java Applet 
Tool 

[0]

Use inscribed and circumscribed polygons to approximate the area of a circle.
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Average Value

Average value of a function (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that introduces average value, with questions to answer using the applet. Includes a rescalable presentation version with large fonts.
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Average Value of a Function

Average value of a function (Calculus) 
Java Applet 
Tool 

[0]

Discusses the formula for the average value of a function.
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Average Value of a Function

Average value of a function (Calculus) 
Java Applet 
Tool 

[0]

Compares the average value of a function with its average rate of change.
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Average Value of a Function

Average value of a function (Calculus) 
Java Applet 
Tool 

[0]

Considers the average value of a function in terms of area.
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Average Value of a Function

Average value of a function (Calculus) 
Java Applet 
Tool 

[0]

Uses the Intermediate Value Theorem to show that a continuously differentiable function takes on its average value over an interval at some point in that interval.
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Average Value of a Function

Average value of a function (Calculus) 
Java Applet 
Tool 

[0]

Calculates the average value of the function f(x) = x^4  8x^2 + 6 on the interval [0, 3].
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Cone

Solids with known Xsections (Calculus) 
Java Applet 
Tool 

[0]

Experiment with cross sections of a right cone.
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Definite Integrals and the Are...

Area of a region (Calculus) 
Java Applet 
Tool 

[1]

Enter two functions and their antiderivatives, and see the area between the two curves.
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Equations of Motion

Dist. traveled by a particle (Calculus) 
Java Applet 
Tool 

[2]

A Java applet that explores the equations of motion, starting from the acceleration function, with actions to try using the applet. Includes a rescalable presentation version with large fonts.
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Finding the length of a curve

Arc length (Calculus) 
Java Applet 
Tool 

[1]

Computes the length of a brokenline approximation to a polynomial.
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Functions Defined Using Integr...

Applications of Integrals (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that introduces a couple of functions that are defined in terms of a definite integral, with actions to try using the applet. Includes a rescalable presentation version with large fonts...
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Integration of Parameter Funct...

Area of a region (Calculus) 
Java Applet 
Tool 

[0]

Illustrates one way to find the area of a region defined via parametric equations.
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Lathe

Vol. of a solid of revolution (Calculus) 
Java Applet 
Tool 

[4]

Student draws top half of outline; a solid of rotation (horizontal axis) is produced (shown in perspective, dynamic).
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Minimum Value of Integral of a...

Applications of Integrals (Calculus) 
Java Applet 
Tool 

[0]

Illustrates the solution to a problem involving the minimum value of a function defined via an integral.
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Problem of Area

Area of a region (Calculus) 
Java Applet 
Tool 

[0]

Use a rotation to make finding the area of a region easier.
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Volume of a Solid of Revolutio...

Vol. of a solid of revolution (Calculus) 
Java Applet 
Tool 

[0]

Visualize different ways of calculating the volume of a particular solid.
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Volume of a Solid of Revolutio...

Vol. of a solid of revolution (Calculus) 
Java Applet 
Tool 

[0]

Animation and crosssection of the solid created by rotating a line around the zaxis.
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Volumes

Solids with known Xsections (Calculus) 
Java Applet 
Tool 

[0]

Discusses the volume of a solid as the integral of the crosssectional area.
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Volumes

Solids with known Xsections (Calculus) 
Java Applet 
Tool 

[0]

Calculates the volume of a right circular cone by integrating the crosssectional area.
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Volumes

Vol. of a solid of revolution (Calculus) 
Java Applet 
Tool 

[0]

Discusses the volume of a solid formed by revolving a function around the xaxis.
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Volumes

Vol. of a solid of revolution (Calculus) 
Java Applet 
Tool 

[0]

Finds the area of the solid created by rotating the function f(x) = xx^2 around the xaxis.
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