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 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 61E
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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.)
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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