Find parametric equations for the line tangent to the curves of intersection of the surfaces xyz=1 and 2x2+ 3y2 + z? =6 at the point (1,1,1). (A x=1- 4t, y= 1- 2t, z=1+ 2t B x=1-4t, y=1+2t, z=1+2t (c) x=1-4t, y=1+2t, z=1- 2t D x =1- 4t, y=1- 2t, z=1-2t

Find parametric equations for the line tangent to the curves of intersection of the surfaces xyz=1 and 2x2+ 3y2 + z? =6 at the point (1,1,1). (A x=1- 4t, y= 1- 2t, z=1+ 2t B x=1-4t, y=1+2t, z=1+2t (c) x=1-4t, y=1+2t, z=1- 2t D x =1- 4t, y=1- 2t, z=1-2t

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

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Concept explainers

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

Find parametric equations for the line tangent to the curves of intersection of the
surfaces xyz=1 and 2x2+ 3y2 + z? =6 at the point (1,1,1).
(A
x=1- 4t, y= 1- 2t, z=1+ 2t
B
x=1-4t, y=1+2t, z=1+2t
(c) x=1-4t, y=1+2t, z=1- 2t
D
x =1- 4t, y=1- 2t, z=1-2t

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