Find the equation of osculating sphere at the origin of the curve x=a₁t³ + 3b₁t² +3c₁ t, y=a₂ t³ +3 b₂t² +3c₂t, z=az t³ +3 b₂t² +3 c₂t
Find the equation of osculating sphere at the origin of the curve x=a₁t³ + 3b₁t² +3c₁ t, y=a₂ t³ +3 b₂t² +3c₂t, z=az t³ +3 b₂t² +3 c₂t
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:Find the equation of osculating sphere at the origin of the curve
x=a₁t³ +3b₁t² +3c₁t₁ y=a₂²³ +3b₂t² +3c₂1, 2=a₂³ +3b₂²2 +3 c₂t
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