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Area Function Exercise

Area of a region (Calculus) 
Computer 
Activity 

[1]

Explore the graph of an area function, that is, a function defined as the integral of another function.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[0]

Graph of the region bounded by the curves f(x) = x^2 and g(x) = x^3.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[1]

Graph of the region bounded by the curves f(x) = x^4+2x^2 and g(x) = 28x^2.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[1]

Graph of the region bounded by the curves f(x) = x^3 and g(x) = x.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[0]

Graph of the region bounded by the curves f(x) = x^3, g(x) = x, and h(x) = 1/x^2.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[2]

Graph of the region bounded by the curves f(x) = e^(x), g(x) = e^(2x), and h(x) = 7.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[0]

Graph of the region between the curves f(x) = ln(x+1), g(x) = 1x, and the xaxis.
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Areas

Riemann sums: L, R, and M. (Calculus) 
Computer 
Support Material 

[0]

Compare the estimates for the area under part of a parabola given by inscribed and circumscribed rectangles.
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Areas

Riemann sums: L, R, and M. (Calculus) 
Computer 
Support Material 

[0]

Compare the estimates for the area under part of a sine curve given by inscribed and circumscribed rectangles.
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Areas Bounded by Polar Curves

Area of a region (Calculus) 
Computer 
Support Material 

[0]

A formula for finding the area of a region defined in terms of a function in polar coordinates.
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Bounce.m

Function graphs (Calculus) 
Computer 
Support Material 

[0]

A Mathematica program to create animations and graphs of bouncing balls.
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Calculus: Areas and Tangents

General (Calculus) 
Computer 
Support Material 

[0]

Introduction to calculus as the study of change and approximations.
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Case Study: Modeling with Elem...

Functions, Graphs, and Limits (Calculus) 
Computer 
Activity 

[2]

A quiz (with answers) on choosing the right function to model different kinds of data.
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Case Study: Population Modelin...

Modeling, including exp. fcns. (Calculus) 
Computer 
Support Material 

[0]

Goals for a project on different models of population growth.
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Case Study: Population Modelin...

Modeling, including exp. fcns. (Calculus) 
Computer 
Activity 

[1]

A quiz (with answers) on exponential functions and models of population growth.
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Case Study: Torricelli’s Law

Differential equations (Calculus) 
Computer 
Support Material 

[1]

Introduction to a calculus Case Study on differential equations and Torricelli's Law.
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Comparison Test

Comparison test (Calculus) 
Computer 
Support Material 

[0]

Defines the comparison test for convergence of a series.
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Computer Project 2

Applications of Derivatives (Calculus) 
Computer 
Activity 

[1]

Some suggestions for experimentation with a polynomial function in various Newton's Method applets.
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Computing Eigenvalues and Eige...

Analysis of vector curves (Calculus) 
Computer 
Support Material 

[0]

Discusses methods for computing eigenvectors of different kinds of matrices.
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Cone

Solids with known Xsections (Calculus) 
Computer 
Tool 

[0]

A Geometer's Sketchpad document used to create an applet to experiment with cross sections of a right cone.
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Continuity

Continuity in terms of limits (Calculus) 
Computer 
Tool 

[0]

RealMedia videos of worked problems on the definition of continuity and continuity of specific functions.
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Continuity: Quiz

Continuity in terms of limits (Calculus) 
Computer 
Activity 

[1]

Quiz (with answers) on continuity of functions.
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Continuous Functions

Continuity (Calculus) 
Computer 
Support Material 

[1]

An introduction to continuity; explores different definitions of a continuous function, including the epsilondelta definition.
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CurvFit

Functions, Graphs, and Limits (Calculus) 
Computer 
Tool 

[0]

CurvFit (tm) is a nonlinear curve fitting program. Sine, damped Sine, Lorentz, Modified Lorentz, Power (ie Polynomial) and Exponential series are presently available models to match your data. We s...
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Defining New Functions from Ol...

Function graphs (Calculus) 
Computer 
Tool 

[1]

RealMedia movies of worked problems: find domain and range of various functions.
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