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7.4 Arc Length and Surface of Revolution

7.4 Arc Length and Surface of Revolution. (Photo not taken by Vickie Kelly). Greg Kelly, Hanford High School, Richland, Washington. Objectives. Find the arc length of a smooth curve. Find the area of a surface of revolution. Rectifiable curve : One that has a finite arc length

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7.4

Lengths of Curves. 7.4. Length of Curve (Cartesian). Lengths of Curves:. If we want to approximate the length of a curve, over a short distance we could measure a straight line. By the pythagorean theorem:. We need to get dx out from under the radical.

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Curve cartesian - PowerPoint PPT Presentation

7.4 Arc Length and Surface of Revolution

7.4