Consider curve C which is the intersection of the surfaces shown in the attached figure. y + 3x = 2 2y+²=3 If C: r(t) = (x(t), y(t), z(t)), t = [a, b] is a parameterization of C, then one possible way for r(t) is: A) r(t): = (2²¹, 3+², 2(t)), c con t € [0, √3] B) r(t) = (²+¹, ³², z(t)), con t € [0, √3] C) r(t) = (²+², y(t), ²+¹), 0 con t € [0, √3] D) r(t) = (2-√2 cos(t), y(t), √√2 sin(t)), 3 c con t € [0, 1]
Consider curve C which is the intersection of the surfaces shown in the attached figure. y + 3x = 2 2y+²=3 If C: r(t) = (x(t), y(t), z(t)), t = [a, b] is a parameterization of C, then one possible way for r(t) is: A) r(t): = (2²¹, 3+², 2(t)), c con t € [0, √3] B) r(t) = (²+¹, ³², z(t)), con t € [0, √3] C) r(t) = (²+², y(t), ²+¹), 0 con t € [0, √3] D) r(t) = (2-√2 cos(t), y(t), √√2 sin(t)), 3 c con t € [0, 1]
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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![Consider curve C which is the intersection of the surfaces shown in the attached figure.
y + 3x = 2
2y+²=3
C: r(t) = (x(t), y(t), z(t)), t ≤ [a, b]
If
is a parameterization of C, then one possible way
for r(t) is:
A) r(t) =
=
(2²¹, 3+², 2(t)), con t = [0, √3]
B) r(t) = (²+¹, ³², z(t)), con t € [0, √3]
C) r(t) = (²+², y(t), ²+¹), 0
con t € [0, √3]
D) r(t) =
(2-√2 cos(t), y(t), √√2 sin(t)),
3
c
con t € [0, 1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6a70c68-c1fc-4dde-8208-1557c702676a%2Fde3e8284-d138-4ce3-94eb-6195e29e19d9%2F6dlmjib_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider curve C which is the intersection of the surfaces shown in the attached figure.
y + 3x = 2
2y+²=3
C: r(t) = (x(t), y(t), z(t)), t ≤ [a, b]
If
is a parameterization of C, then one possible way
for r(t) is:
A) r(t) =
=
(2²¹, 3+², 2(t)), con t = [0, √3]
B) r(t) = (²+¹, ³², z(t)), con t € [0, √3]
C) r(t) = (²+², y(t), ²+¹), 0
con t € [0, √3]
D) r(t) =
(2-√2 cos(t), y(t), √√2 sin(t)),
3
c
con t € [0, 1]
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