15. Find the rectangular cube of largest area, with sides parallel to the unit axes, that can be inscribed in the ellipse y² 62 + 1.
15. Find the rectangular cube of largest area, with sides parallel to the unit axes, that can be inscribed in the ellipse y² 62 + 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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Transcribed Image Text:15. Find the rectangular cube of largest area, with sides parallel to the unit
axes, that can be inscribed in the ellipse
x²y²
+
a² 6²
+
92
= 1.
-
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