Please give a clear solution. The smooth vector-valued function P(t) satisfies P(2)= (-4, 8,–7), P’(2)= (0,–5,2), and P’(2)= (3, 1, −6).1. Look for a vector equation of the tangent line to the graph of P(t) at t=2.2. Look for G'(2) if G(t)= (4t²,t³,−5) · R'(t).

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Answered: The smooth vector-valued function P(t)…

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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The smooth vector-valued function P(t) satisfies P(2)= (-4, 8,-7), P′(2)= (0,-5,2), and P'(2)= (3, 1, −6). Look for a vector equation of the tangent line to the graph of P(t) at t=2. 2. Look for G'(2) if G(t)= (4t²,t³,-5) · R'(t). 1.