Parametric equations for the curve of intersection of the cylinder x² +4y? = 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 sin t, 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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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