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d d. Calculate [r(t) r2(t)] and dt [r(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d [ri(t) r2(t) = r:(t)· dr2 dr r2(t) and dt dt d dr2 dr [ri(t) x r2(t)] = r;(t) x dt x r2(t). dt dt ri(t) = 7ti + 4t²j+ 7t°k, r2(t) = t'k [ri(t) r2(t)] = dt [r:(t) x r2(t)] = dt

d d. Calculate [r(t) r2(t)] and dt [r(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d [ri(t) r2(t) = r:(t)· dr2 dr r2(t) and dt dt d dr2 dr [ri(t) x r2(t)] = r;(t) x dt x r2(t). dt dt ri(t) = 7ti + 4t²j+ 7t°k, r2(t) = t'k [ri(t) r2(t)] = dt [r:(t) x r2(t)] = dt

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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d Calculate dt Iri(t) - r(t)] and [ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d [ri(t) r2(t) = r:(t) · dr2 dr r2(t) and dt dt d dr2 dri [ri(t) x r2(t)] =r;(t) x dt x r2(t). dt dt ri(t) = 7ti + 4t²j+ 7t°k, r2(t) = t*k [ri(t) r2(t)] = dt [ri(t) x r2(t)] = dt
Transcribed Image Text:d Calculate dt Iri(t) - r(t)] and [ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d [ri(t) r2(t) = r:(t) · dr2 dr r2(t) and dt dt d dr2 dri [ri(t) x r2(t)] =r;(t) x dt x r2(t). dt dt ri(t) = 7ti + 4t²j+ 7t°k, r2(t) = t*k [ri(t) r2(t)] = dt [ri(t) x r2(t)] = dt
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