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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.

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.

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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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).
Transcribed Image Text: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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