MAT136H1 Lecture Notes - Polar Coordinate System

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MAT136H1 Full Course Notes
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Question #6 (medium): integral for surface area from parametric equations. When working with parametric equations, the surface area of the curve rotated about the -axis is given by: ( Set an integral that represents the surface area obtained by rotating the given curve about the -axis. In order to find the surface area from the curve rotated about the x-axis base on the parametric equations, first and are needed. and. Given the integral will be taken with respect to the parameter , therefore the interval should be that for the parameter . Then substitution can be used for trigonometric functions where then.

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