8. Show that r(t) = a cost+bsint is an ellipse even if a and b are not orthogonal. How do you find the major and minor radii vectors? [Hint: find to such that r. r = 0 and define a' = r(to) and b' = r(to). Express a, b and r(t) in terms of a', b'.]
8. Show that r(t) = a cost+bsint is an ellipse even if a and b are not orthogonal. How do you find the major and minor radii vectors? [Hint: find to such that r. r = 0 and define a' = r(to) and b' = r(to). Express a, b and r(t) in terms of a', b'.]
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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![8. Show that r(t) = a cost+b sint is an ellipse even if a and b are not orthogonal.
How do you find the major and minor radii vectors? [Hint: find to such that
r. r = 0 and define a' = r(to) and b' r(to). Express a, b and r(t) in terms
of a', b'.]
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b0e48fb-2c03-4cd4-ad19-cc0211c37c23%2F589f59c1-f90e-4a58-82d2-f5206f2dde65%2F4nclsg9_processed.png&w=3840&q=75)
Transcribed Image Text:8. Show that r(t) = a cost+b sint is an ellipse even if a and b are not orthogonal.
How do you find the major and minor radii vectors? [Hint: find to such that
r. r = 0 and define a' = r(to) and b' r(to). Express a, b and r(t) in terms
of a', b'.]
=
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