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A Parametric Representation of the Curve of Intersection of the Two

Question 40

Multiple Choice

A parametric representation of the curve of intersection of the two surfaces 4x2 + y2 + z2 = 8 and  A parametric representation of the curve of intersection of the two surfaces 4x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup> = 8 and   is given by which of the following vector equations? A)  r = 2cos(t)  i + sin(t)  j - 2 k, 0  \le  t  \le  2 \pi  B)  r = 2cos(t)  i + sin(t)  j + 2 k, 0  \le  t  \le  2 \pi  C)  r = cos(t)  i + 2sin(t)  j +2 k, 0  \le  t  \le   \pi  D)  r = cos(t)  i + 2sin(t)  j - 2 k, 0  \le  t  \le  2 \pi  E)  r = 2cos(t)  i + sin(t)  j - 2 k, 0  \le  t  \le   \pi is given by which of the following vector equations?


A) r = 2cos(t) i + sin(t) j - 2 k, 0 \le t \le 2 π\pi
B) r = 2cos(t) i + sin(t) j + 2 k, 0 \le t \le 2 π\pi
C) r = cos(t) i + 2sin(t) j +2 k, 0 \le t \le π\pi
D) r = cos(t) i + 2sin(t) j - 2 k, 0 \le t \le 2 π\pi
E) r = 2cos(t) i + sin(t) j - 2 k, 0 \le t \le π\pi

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