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Calculate ri(t) - r2(t)] and r:(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d r(t) · r2(t)] = r¡(t) · dr2 dr r2(t) and dt dt [r(t) × r2(t)] = r¡(t) : dr2, dri + dt x r2(t). dt r:(t) = cos(t)i + sin(t)j + 6tk, r2(t) = 5i + tk

Calculate ri(t) - r2(t)] and r:(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d r(t) · r2(t)] = r¡(t) · dr2 dr r2(t) and dt dt [r(t) × r2(t)] = r¡(t) : dr2, dri + dt x r2(t). dt r:(t) = cos(t)i + sin(t)j + 6tk, r2(t) = 5i + tk

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 52E
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d Calculate ri(t) ·r2(t)] and r:(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr2 dri ri(t) · r2(t)] =r¡(t). dt · r2(t) and dt dt d dr2 dri r:(t) x r2(t)] =r¡(t) x dt x r2(t). + dt dt ri(t) = cos(t)i + sin(t)j + 6tk, r2(t) = 5i + tk d ri(t) r2(t)] = d ri(t) x r2(t)] dt
Transcribed Image Text:d Calculate ri(t) ·r2(t)] and r:(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr2 dri ri(t) · r2(t)] =r¡(t). dt · r2(t) and dt dt d dr2 dri r:(t) x r2(t)] =r¡(t) x dt x r2(t). + dt dt ri(t) = cos(t)i + sin(t)j + 6tk, r2(t) = 5i + tk d ri(t) r2(t)] = d ri(t) x r2(t)] dt
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