3. Let y be the path in R³ parametrized as x(t) = (cos 2t, sint, sin 2t) for t = [0, 2π]. Let A be the vector field with components (x,-y²,0), where (x, y, z) are Cartesian coordinates in R³. Evaluate L.A. ds.
3. Let y be the path in R³ parametrized as x(t) = (cos 2t, sint, sin 2t) for t = [0, 2π]. Let A be the vector field with components (x,-y²,0), where (x, y, z) are Cartesian coordinates in R³. Evaluate L.A. ds.
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
Hh.103.
![3.
Let y be the path in R³ parametrized as x(t) = (cos 2t, sint, sin 2t) for t € [0,2π].
Let A be the vector field with components (x,-y², 0), where (x, y, z) are Cartesian
coordinates in R³. Evaluate
L.A.
A. ds.
[4]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2faa5584-2ed5-4be3-88de-d1521b4a2160%2F11a6ecb9-5eab-4d60-ade9-9f8c586c2168%2F4z3e8uq_processed.png&w=3840&q=75)
Transcribed Image Text:3.
Let y be the path in R³ parametrized as x(t) = (cos 2t, sint, sin 2t) for t € [0,2π].
Let A be the vector field with components (x,-y², 0), where (x, y, z) are Cartesian
coordinates in R³. Evaluate
L.A.
A. ds.
[4]
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