9. Let x: RΣ be the 2-segment in the sphere Σ obtained by restricting the geographical patch x(u, v) = (r cos v cos u, r cos v sin u, r sin v) to the rectangle R: 0 ≤u, v ≤ T/2. Find explicit formulas for the edge curves a, 6, 7, 8 of x, and show these curves and the image x (R) on a sketch of Σ.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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9. Let x: RΣ be the 2-segment in the sphere 2 obtained by restricting
the geographical patch
x(u, v)
=
(r cos v cos u, r cos v sin u, r sin v)
to the rectangle R: 0
curves a, 6, 7, 8 of x,
sketch of Σ.
≤u, v ≤ T/2. Find explicit formulas for the edge
and show these curves and the image x(R) on a
Transcribed Image Text:9. Let x: RΣ be the 2-segment in the sphere 2 obtained by restricting the geographical patch x(u, v) = (r cos v cos u, r cos v sin u, r sin v) to the rectangle R: 0 curves a, 6, 7, 8 of x, sketch of Σ. ≤u, v ≤ T/2. Find explicit formulas for the edge and show these curves and the image x(R) on a
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