A plane with the equation ++ = 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 = (9,9,9). volume V = C-(0,0, c) .P B= (0, b, 0) A= (a, 0, 0) (Use symbolic notation and fractions where needed.) LEGO Vmin =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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A plane with the equation
volume V = abc. Find the minimum value of V among all planes passing through the point P = (9,9,9).
++ = 1 (a, b, c > 0) together with the positive coordinate planes forms a tetrahedron of
C= (0,0, c)
В - (0, Ь. 0)
y
А- (а, 0, 0)
(Use symbolic notation and fractions where needed.)
Vmin =
Transcribed Image Text:A plane with the equation volume V = abc. Find the minimum value of V among all planes passing through the point P = (9,9,9). ++ = 1 (a, b, c > 0) together with the positive coordinate planes forms a tetrahedron of C= (0,0, c) В - (0, Ь. 0) y А- (а, 0, 0) (Use symbolic notation and fractions where needed.) Vmin =
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