d? -(A+B) at t = 1. di?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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If \(\vec{A} = f(t)\) and \(\vec{B} = f(t)\) are two vectors, find \(\frac{d^2}{dt^2} (\vec{A} + \vec{B})\) at \(t = 1\). [Here you can choose \(\vec{A}\) and \(\vec{B}\) like \(\vec{A} = t^2 \hat{i} - t \hat{j} + (2t + 1) \hat{k}\) & \(\vec{B} = \cos 2t \hat{i} + \sin 3t \hat{j}\) but not similar to these].
Transcribed Image Text:If \(\vec{A} = f(t)\) and \(\vec{B} = f(t)\) are two vectors, find \(\frac{d^2}{dt^2} (\vec{A} + \vec{B})\) at \(t = 1\). [Here you can choose \(\vec{A}\) and \(\vec{B}\) like \(\vec{A} = t^2 \hat{i} - t \hat{j} + (2t + 1) \hat{k}\) & \(\vec{B} = \cos 2t \hat{i} + \sin 3t \hat{j}\) but not similar to these].
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