Considering R(t) is a differentiable vector function for t > -1 with1R' (t) = (¹ + t ' 1 + 1²,1 +6₁+²)and R(0) = (1,1,−1), find R(t).1+t'Give vector equation of the line tangent to the curve defined by Ả(t) at(1,1,-1).Evaluate (R o f)' (0) if ƒ(t) = 2e¹t.πτ

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Answered: ● Considering R(t) is a differentiable…

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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● Considering R(t) is a differentiable vector function for t > -1 with R' (t) = (₁+₁'11²,1 + t²) and R(0) = (1,1,−1), find (t). ● Give vector equation of the line tangent to the curve defined by R(t) at (1,1,-1). ● Evaluate (Rof)(0) if f(t) = 2eπt