Tech for Calculus

Laurie Cotton, Jul 29, 2015

Table of Contents

  1. Area Under a Curve
    1. Area under curve using trapezoids and rectangles
  2. Solids from Cross Sections
    1. Square Cross Section to form 3D Solid
    2. Triangle Cross Section to form 3D Solid
    3. 3D Solid from Square Cross Section of a Region
  3. Solids of Revolution
    1. 3D Solid of Rotation
    2. 3D Solid of Rotation
    3. 3D Solid of Rotation
    4. 3D Solid of Rotation: region between two intersecting curves
    5. 3D Solid of Rotation: region between two intersecting curves

1.

Area Under a Curve

  • 1. Area under curve using trapezoids and rectangles

1.1.

Area under curve using trapezoids and rectangles

Area under curve using trapezoids and rectangles
– Laurie Cotton

2.

Solids from Cross Sections

  • 1. Square Cross Section to form 3D Solid
  • 2. Triangle Cross Section to form 3D Solid
  • 3. 3D Solid from Square Cross Section of a Region

2.1.

Square Cross Section to form 3D Solid

Square Cross Section to form 3D Solid
– Laurie Cotton

2.2.

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2.3.

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3.

Solids of Revolution

  • 1. 3D Solid of Rotation
  • 2. 3D Solid of Rotation
  • 3. 3D Solid of Rotation
  • 4. 3D Solid of Rotation: region between two intersecting curves
  • 5. 3D Solid of Rotation: region between two intersecting curves

3.1.

3D Solid of Rotation

3D Solid of Rotation
– Laurie Cotton

3.2.

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3.3.

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3.4.

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3.5.

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