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Let S be the hyperboloid of Cartesian equation x² + y² - 2² = 1 and p = (1,0,0). a) Find two straight lines contained in S that pass through p. b) Find 4 geodesics of S that pass in p.

Let S be the hyperboloid of Cartesian equation x² + y² - 2² = 1 and p = (1,0,0). a) Find two straight lines contained in S that pass through p. b) Find 4 geodesics of S that pass in p.

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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Let S be the hyperboloid of Cartesian equation x² + y² - z² = 1 and p = (1,0,0). a) Find two straight lines contained in S that pass through p. X b) Find 4 geodesics of S that pass in p. Note: the (4) tangent lines to the geodesics at the point p must be different.
Transcribed Image Text:Let S be the hyperboloid of Cartesian equation x² + y² - z² = 1 and p = (1,0,0). a) Find two straight lines contained in S that pass through p. X b) Find 4 geodesics of S that pass in p. Note: the (4) tangent lines to the geodesics at the point p must be different.
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