Q2:- Given A(0,0,0), B(1,–1,1),C(2,1,–2) and D(-1,2,–1) are vertices of tetrahedron. If the rate of increase in side AB = 0.5 m/sec, BC = 0.3 m/sec and AC = 0.4 m/sec Find the change in altitude of tetrahedron ABCD to get the change in volume 0.1 = m³/sec.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Q2:- Given A(0,0,0), B(1,–1,1),C(2,1,–2) and D(-1,2,–1)
are vertices of tetrahedron. If the rate of increase in side
AB = 0.5 m/sec, BC = 0.3 m/sec and AC = 0.4 m/sec
Find the change in altitude of tetrahedron ABCD to get the change
in volume 0.1 = m³/sec.
Transcribed Image Text:Q2:- Given A(0,0,0), B(1,–1,1),C(2,1,–2) and D(-1,2,–1) are vertices of tetrahedron. If the rate of increase in side AB = 0.5 m/sec, BC = 0.3 m/sec and AC = 0.4 m/sec Find the change in altitude of tetrahedron ABCD to get the change in volume 0.1 = m³/sec.
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