Browsing: All Content in Calculus for Applications of Integrals Browse discussions |
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Resource Name |
Topic (Course) |
Technology |
Type |
$? |
Rating |
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Volumes: Cylindrical Shell Met...
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Vol. of a solid of revolution (Calculus) |
Flash |
Tool |
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[2]
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Discusses the volume of the solid obtained by rotating part of a parabola around the y-axis.
More: lessons, discussions, ratings, reviews,...
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Lathe
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Vol. of a solid of revolution (Calculus) |
Java Applet |
Tool |
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[4]
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Student draws top half of outline; a solid of rotation (horizontal axis) is produced (shown in perspective, dynamic).
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Equations of Motion
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Dist. traveled by a particle (Calculus) |
Java Applet |
Tool |
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[2]
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A Java applet that explores the equations of motion, starting from the acceleration function, with actions to try using the applet. Includes a re-scalable presentation version with large fonts.
More: lessons, discussions, ratings, reviews,...
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Simon Says...
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Vol. of a solid of revolution (Calculus) |
Computer |
Activity |
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[1]
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A calculus integration project based on the small radio controlled blimp named Simon.
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Area between two curves
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Area of a region (Calculus) |
Computer |
Support Material |
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[1]
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Graph of the region bounded by the curves f(x) = x^4+2x^2 and g(x) = 28-x^2.
More: lessons, discussions, ratings, reviews,...
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Volumes: Cylindrical Shell Met...
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Vol. of a solid of revolution (Calculus) |
Java Applet |
Tool |
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[1]
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Discusses the volume of the solid obtained by rotating part of a parabola around the y-axis.
More: lessons, discussions, ratings, reviews,...
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powerOneTM Graph v4
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Applications of Integrals (Calculus) |
Palm OS |
Tool |
$ |
[1]
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powerOne(r) Graph supports computation & graphing in the mathematics classroom. The following tasks can be done with this software on a handheld computer including: |
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Volume of a Cone: A Proof With...
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Solids with known X-sections (Calculus) |
Computer |
Activity |
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[1]
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Supply a justification for each step in this proof of the volume formula for a cone.
More: lessons, discussions, ratings, reviews,...
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Area between two curves
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Area of a region (Calculus) |
Computer |
Support Material |
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[1]
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Graph of the region bounded by the curves f(x) = x^3 and g(x) = x.
More: lessons, discussions, ratings, reviews,...
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Area between two curves
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Area of a region (Calculus) |
Computer |
Support Material |
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[1]
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Graph of the region bounded by the curves f(x) = e^(-x), g(x) = e^(2x), and h(x) = 7.
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Finding the length of a curve
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Arc length (Calculus) |
Java Applet |
Tool |
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[1]
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Computes the length of a broken-line approximation to a polynomial.
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Volume of a Cone Exercise
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Solids with known X-sections (Calculus) |
Computer |
Activity |
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[1]
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Supply a justification for each step in this proof of the volume formula for a cone. A printable worksheet.
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Area Function Exercise
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Area of a region (Calculus) |
Computer |
Activity |
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[1]
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Explore the graph of an area function, that is, a function defined as the integral of another function.
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Integrals Using Riemann Sums
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Riemann sums and integrals (Calculus) |
Calculator |
Activity |
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[0]
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A discovery worksheet that allows students to find the formal definition for Riemann sums. It ends with practice questions that students can do on their own. Included in the teacher sheets is an art...
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The Area Function
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Area of a region (Calculus) |
TI-Nspire |
Activity |
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[0]
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In this activity, students will look at the graph of a function g(x), defined to be the integral of a function f(x), with the goal of understanding Part 1 of the Fundamental Theorem of Calculus. Speci...
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Riemann Integral
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Riemann sums and integrals (Calculus) |
Computer |
Support Material |
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[0]
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Discusses the integral as a sophisticated form of summation.
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Volume of a Cone Applet
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Solids with known X-sections (Calculus) |
Computer |
Support Material |
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[0]
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Detailed directions for producing the Geometer's Sketchpad construction used to create the Area Function applet.
More: lessons, discussions, ratings, reviews,...
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Area Applet
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Area of a region (Calculus) |
Computer |
Support Material |
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[0]
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Detailed directions for producing the Geometer's Sketchpad construction used to create the Area applet.
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Integrals At Work
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Applications of Integrals (Calculus) |
Computer |
Support Material |
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[0]
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A brief discussion of some applications of integrals.
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Area between two curves
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Area of a region (Calculus) |
Computer |
Support Material |
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[0]
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Graph of the region bounded by the curves f(x) = x^3, g(x) = x, and h(x) = 1/x^2.
More: lessons, discussions, ratings, reviews,...
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Area Function Applet
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Area of a region (Calculus) |
Computer |
Support Material |
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[0]
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Directions for producing the Geometer's Sketchpad construction used to create the Area Function applet.
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Areas Bounded by Polar Curves
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Area of a region (Calculus) |
Computer |
Support Material |
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[0]
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A formula for finding the area of a region defined in terms of a function in polar coordinates.
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Area between two curves
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Area of a region (Calculus) |
Computer |
Support Material |
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[0]
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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
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Area of a region (Calculus) |
Computer |
Support Material |
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[0]
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Graph of the region between the curves f(x) = ln(x+1), g(x) = 1-x, and the x-axis.
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Area Between Curve and x-axis
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Area of a region (Calculus) |
Computer |
Tool |
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[0]
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A Geometer's Sketchpad document used to create an applet to illustrate the area between a curve and the x-axis.
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