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Lecture

# 10.2 Calculus with Parametric Curves Question #6 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
10.2 Parametric Equations & Polar Coordinates Calculus With Parametric Curves Question #6 (Medium): Integral for Surface Area From Parametric Equations Strategy When Working with parametric equations, the surface area of the curve rotated about the -axis is given by: ∫ √( ) ( ) , where ( ) and ( ) Sample Question Set an integral that represents the surface area obtained by rotating the given curve about the -axis. Then find the exact surface area. , , Solution In order to find the surface area from the curve rotated about the x-axis base on the parametric equations, firstand are needed. and . Given √ ( ) ( ) the integral will
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