= 1. Compute the normal curvature and the geodesic curvature of the circle a(t) = (cost, sint, 1) on the elliptic paraboloid x(u, v) = (u, v, u² + v²).

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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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1. Compute the normal curvature and the geodesic curvature of the circle a(t) =
(cost, sin t, 1) on the elliptic paraboloid x(u, v) = (u, v, u² + v²).
Transcribed Image Text:1. Compute the normal curvature and the geodesic curvature of the circle a(t) = (cost, sin t, 1) on the elliptic paraboloid x(u, v) = (u, v, u² + v²).
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