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Let F(t) = 4t 1+4t² 1-4t² 1+ 4t² j Using Corollary 12.11, show that F(t)*F' (t) = 0 for all t. i+

Let F(t) = 4t 1+4t² 1-4t² 1+ 4t² j Using Corollary 12.11, show that F(t)*F' (t) = 0 for all t. i+

Advanced Engineering Mathematics
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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Let F(t) = 1-4t² 1+ 4t² j Using Corollary 12.11, show that F(t)*F'(t) = 0 for all t. 4t 1+4t² i+ Corollary 12.11: Let F be differentiable on an interval I and assume that there is a number c such that: ||*F(t)|| = c for t within I Then: F(t) * F'(t) = 0 for t within I
Transcribed Image Text:Let F(t) = 1-4t² 1+ 4t² j Using Corollary 12.11, show that F(t)*F'(t) = 0 for all t. 4t 1+4t² i+ Corollary 12.11: Let F be differentiable on an interval I and assume that there is a number c such that: ||*F(t)|| = c for t within I Then: F(t) * F'(t) = 0 for t within I
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