Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Differential Equations
Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…
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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].
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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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