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Let r(t) = (t2, 1 – t, 4t). Calculate the derivative of r(t) · a(t) at t = 9, assuming that a(9) = (-3, –3, 8) and a'(9) = (3, 8,9) d r(t) · a(t)| = dt t=9

Let r(t) = (t2, 1 – t, 4t). Calculate the derivative of r(t) · a(t) at t = 9, assuming that a(9) = (-3, –3, 8) and a'(9) = (3, 8,9) d r(t) · a(t)| = dt t=9

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 r(t) = (t2,1 – t, 4t). Calculate the derivative of r(t) · a(t) at t = 9, assuming that a(9) = (-3, –3, 8) and a'(9) = (3, 8, 9) d r(t) · a(t)|t-9 = | dt
Transcribed Image Text:Let r(t) = (t2,1 – t, 4t). Calculate the derivative of r(t) · a(t) at t = 9, assuming that a(9) = (-3, –3, 8) and a'(9) = (3, 8, 9) d r(t) · a(t)|t-9 = | dt
Find the solution r(t) of the differential equation with the given initial condition: r' (t) = (sin 7t, sin 7t, 7t), r(0)= (2, 5, 4) r(t) = (
Transcribed Image Text:Find the solution r(t) of the differential equation with the given initial condition: r' (t) = (sin 7t, sin 7t, 7t), r(0)= (2, 5, 4) r(t) = (
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