Parametric equations for the curve of intersection of the cylinder x + 4y² = 4 and the plane x+y +z = 3 %3D are: (A) x = 2 sin t, y = cos t, z = 3 – 2 sin t – cos t (B) x = 2 sint, y = cos t, z 3-2 cos t – sin t (C) x = 2 sin t, y = 2 cos t, z = 3 – 2 cos t – 2sin t - (D) x = 2 sin t, y = 2 cos t, z = 3- 2 cos t-sin t (E) x = sin t, y= 2 cos t, z = 3- sin t-2 cos t

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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Parametric equations for the curve of intersection of the
cylinder x² + 4y² = 4 and the plane x+y+z = 3
are:
(A) x = 2 sin t, y = cos t, z = 3 – 2 sin t – cos t
(B) x = 2 sin t, y = cost, z = 3 – 2 cos t – sin t
(C) x = 2 sin t, y = 2 cos t, z = 3 – 2 cos t- 2sin t
(D) x = 2 sin t, y = 2 cos t, z = 3 – 2 cos t- sin t
(E) x = sin t, y = 2 cos t, z = 3 – sin t – 2 cos t
Transcribed Image Text:Parametric equations for the curve of intersection of the cylinder x² + 4y² = 4 and the plane x+y+z = 3 are: (A) x = 2 sin t, y = cos t, z = 3 – 2 sin t – cos t (B) x = 2 sin t, y = cost, z = 3 – 2 cos t – sin t (C) x = 2 sin t, y = 2 cos t, z = 3 – 2 cos t- 2sin t (D) x = 2 sin t, y = 2 cos t, z = 3 – 2 cos t- sin t (E) x = sin t, y = 2 cos t, z = 3 – sin t – 2 cos t
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