determine the domains of the space curves created when the plane 2x-y+z=k intersects the elliptic hyperboloid of 2 sheets given by 4x^2-y^2-z^2=1 the parametrisation used to plot the space curves is x(t) = (2t^2-4t+5)/(4(t-2)) y(t) = t z(t) = (3-4t)/(2(t-2))

determine the domains of the space curves created when the plane 2x-y+z=k intersects the elliptic hyperboloid of 2 sheets given by 4x^2-y^2-z^2=1 the parametrisation used to plot the space curves is x(t) = (2t^2-4t+5)/(4(t-2)) y(t) = t z(t) = (3-4t)/(2(t-2))

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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Question

determine the domains of the space curves created when the plane 2x-y+z=k intersects the elliptic hyperboloid of 2 sheets given by 4x^2-y^2-z^2=1

the parametrisation used to plot the space curves is

x(t) = (2t^2-4t+5)/(4(t-2))

y(t) = t

z(t) = (3-4t)/(2(t-2))

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