Consider curve C which is the intersection of the surfaces shown in the attached figure. The figure is in the first attached image If C: r (t) = (x (t), y (t), z (t)), t ∈ [a, b], is a parametrization of C, then a possible form for r (t) is:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider curve C which is the intersection of the surfaces shown in the attached figure.

The figure is in the first attached image

If C: r (t) = (x (t), y (t), z (t)), t ∈ [a, b], is a parametrization of C, then a possible form for r (t) is:

The answers are in the second attached image

1
-r-
C
Transcribed Image Text:1 -r- C
A) r(t) = (x(t), 4+4 cos t, 3 sint), t e [0, ]
B) r(t) = (3 sin t, y(t), 2cost), t e [0, ]
C) r(t) = (2 cos t, 4+4 cost, z(t), t e [0, ]
D) r(t) = (2 cos t, 1+4 cost, z(t)), t e [0, ]
Transcribed Image Text:A) r(t) = (x(t), 4+4 cos t, 3 sint), t e [0, ] B) r(t) = (3 sin t, y(t), 2cost), t e [0, ] C) r(t) = (2 cos t, 4+4 cost, z(t), t e [0, ] D) r(t) = (2 cos t, 1+4 cost, z(t)), t e [0, ]
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