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By applying the isoperimetric S constants), prove that p = q. inequality to the ellipse + = 1 (where p and q are positive q² p² sin²t+q² cos² t dt ≥ 27√pq with equality holding if and only if •2πT

By applying the isoperimetric S constants), prove that p = q. inequality to the ellipse + = 1 (where p and q are positive q² p² sin²t+q² cos² t dt ≥ 27√pq with equality holding if and only if •2πT

Advanced Engineering Mathematics
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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Isoperimetric inequality 

By applying the isoperimetric inequality to the ellipse x² y² q² .2п [³* √/p² sin²t+q²cos²t_dt ≥ 2m √/pq with equality holding if and only if constants), prove that P = q. = 1 (where p and q are positive
Transcribed Image Text:By applying the isoperimetric inequality to the ellipse x² y² q² .2п [³* √/p² sin²t+q²cos²t_dt ≥ 2m √/pq with equality holding if and only if constants), prove that P = q. = 1 (where p and q are positive
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