Exercise 1. Consider the surface parametrized by X(u, v) = (u, v, u² − v²). Let a(t) = (t,0, t²) be a curve in the surface. Show that a is a geodesic by showing that atan 0. To do this, use the definition that a'tan = a" · (N×T). =
Exercise 1. Consider the surface parametrized by X(u, v) = (u, v, u² − v²). Let a(t) = (t,0, t²) be a curve in the surface. Show that a is a geodesic by showing that atan 0. To do this, use the definition that a'tan = a" · (N×T). =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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