ane with the equation + + = 1 (a, b, c > 0) together with the positive coordinate planes forms a tetrahedron of me V = ¿abc. Find the minimum value of V among all planes passing through the point P = (5,5, 5). İcaman |c=(0,0, c) •P B-(0, b, 0) | = (a, 0, 0)

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 ++ = 1 (a, b, c > 0) together with the positive coordinate planes forms a tetrahedron of
volume V = tabc. Find the minimum value of V among all planes passing through the point P = (5,5, 5).
C = (0,0, c)
B = (0, b, 0)
A = (a, 0, 0)
(Use symbolic notation and fractions where needed.)
Vmin =
Transcribed Image Text:A plane with the equation ++ = 1 (a, b, c > 0) together with the positive coordinate planes forms a tetrahedron of volume V = tabc. Find the minimum value of V among all planes passing through the point P = (5,5, 5). C = (0,0, c) B = (0, b, 0) A = (a, 0, 0) (Use symbolic notation and fractions where needed.) Vmin =
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