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Find the average x-coordinate of a point on the half-torus with the following parametrization (drawn below): (3+ cos v) sin u T Τ(u, ) - (3 + cos v) cos u

Find the average x-coordinate of a point on the half-torus with the following parametrization (drawn below): (3+ cos v) sin u T Τ(u, ) - (3 + cos v) cos u

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the average x-coordinate of a point on the half-torus with the following parametrization (drawn below): (3+ cos v) sin u sus T(u, v) = (3 + cos v) cos u <u< 2' 0 <v< 27. sin v
Transcribed Image Text:Find the average x-coordinate of a point on the half-torus with the following parametrization (drawn below): (3+ cos v) sin u sus T(u, v) = (3 + cos v) cos u <u< 2' 0 <v< 27. sin v
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