consider the curve formed by the intersection of the surface (x+z)^2+y^2 =9 and the plane x-2z = 0. (a) Find a parametrisation r of the curve of the form r(t) = x(t)i + y(t)j+z(t)k, expressed in terms of the circular functions. (b) Find all of the points on the curve where r'(t) and r"(t) are perpendicular.

consider the curve formed by the intersection of the surface (x+z)^2+y^2 =9 and the plane x-2z = 0. (a) Find a parametrisation r of the curve of the form r(t) = x(t)i + y(t)j+z(t)k, expressed in terms of the circular functions. (b) Find all of the points on the curve where r'(t) and r"(t) are perpendicular.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

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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