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Chapter 12Parametric Equations and Polar Coordinates

0112.01Parametric Curves
0212.02Graphing Parametric Curves
0312.03Tangent Lines to Parametric Curves
0412.04Area Under Parametric Curves
0512.05Arc Length of Parametric Curves
0612.06Surface Area of Solids of Revolution with Parametric Curves
0712.07Polar Coordinates
0812.08Graphing in Polar Coordinates
0912.09Differentiation in Polar Coordinates
1012.10Area Enclosed by Polar Curves
1112.11Arc Length of Polar Curves
1212.12Surface Area of Solids of Revolution in Polar Coordinates

Chapter 12 · Parametric Equations and Polar Coordinates

0112.01Parametric Curves
0212.02Graphing Parametric Curves
0312.03Tangent Lines to Parametric Curves
0412.04Area Under Parametric Curves
0512.05Arc Length of Parametric Curves
0612.06Surface Area of Solids of Revolution with Parametric Curves
0712.07Polar Coordinates
0812.08Graphing in Polar Coordinates
0912.09Differentiation in Polar Coordinates
1012.10Area Enclosed by Polar Curves
1112.11Arc Length of Polar Curves
1212.12Surface Area of Solids of Revolution in Polar Coordinates

Topics / 12 Parametric Equations and Polar Coordinates

12.06

Surface Area of Solids of Revolution with Parametric Curves

Rotate a parametric curve around an axis: 2π times the radius times the speed, integrated in t.

About 13 minutes

You'll learn to

→Set up surface areas for parametric curves
→Choose the radius for each axis
→Recover the sphere, cone and torus formulas

← 12.05 Arc Length of Parametric Curves 12.07 Polar Coordinates →

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