Session 81: Examples Using Parametrized Curves

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Overview

In this session we compute the arc lengths of some parametrized curves; we also compute the surface area of the solid of revolution formed by an ellipse.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Non-Constant Speed Parametrization (00:12:00)

» Accompanying Notes (PDF)

From Lecture 32 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Surface Area of an Ellipsoid (00:05:00)

» Accompanying Notes (PDF)

From Lecture 32 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

Path of a Falling Object

 

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