A plane with the equation + 2 + ² = 1 (a, b, c > 0) together with the positive coordinate planes forms a tetrahedron of volume V = abc. Find the minimum value of V among all planes passing through the point P = (7,7,7). (Use symbolic notation and fractions where needed.) Vmin =
A plane with the equation + 2 + ² = 1 (a, b, c > 0) together with the positive coordinate planes forms a tetrahedron of volume V = abc. Find the minimum value of V among all planes passing through the point P = (7,7,7). (Use symbolic notation and fractions where needed.) Vmin =
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:A plane with the equation +
volume V =
1/6
Vmin =
+ 12/2 = 1 (a, b, c > 0) together with the positive coordinate planes forms a tetrahedron of
abc. Find the minimum value of V among all planes passing through the point P = (7,7,7).
(Use symbolic notation and fractions where needed.)
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