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Consider the paraboloid parametrized X (r, 0) = (rCose,rSine,r?) and the coordinate line B (s) = X (3,-). Find the differential equation that determine
Consider the paraboloid parametrized X (r, 0) = (rCose,rSine,r?) and the coordinate line B (s) = X (3,-). Find the differential equation that determine the geodesics on the paraboloid with arc length as parameter and verify that X is a system of geodesic coordinates. Is B a geodesic? Why or why not?
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Discovering Advanced Algebra An Investigative Approach
Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke
1st edition
1559539844, 978-1604400069, 1604400064, 978-1559539845
