z+v" = 2 +3: = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Consider curve C which is the intersection of the surfaces shown in the
attached figure.

image 1

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:

image 2

A) r(t) = (v2 cos(t), y(t), ²-v?sin(0) ),
con te [0, 5
3
B) r(t) = (V2 cs(t), -v2cos(t)
2-V2 cos(t)
2(t), con te [0, 5]
2-v2 cos(t)
C) r(t) = (r(t), V2 sin(t),
con te (0,
3
(3 – t²
D) r(t) =
y(t), 1
con te 0, v3]
2
Transcribed Image Text:A) r(t) = (v2 cos(t), y(t), ²-v?sin(0) ), con te [0, 5 3 B) r(t) = (V2 cs(t), -v2cos(t) 2-V2 cos(t) 2(t), con te [0, 5] 2-v2 cos(t) C) r(t) = (r(t), V2 sin(t), con te (0, 3 (3 – t² D) r(t) = y(t), 1 con te 0, v3] 2
z+v" = 2
+3: = 2
Transcribed Image Text:z+v" = 2 +3: = 2
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