d d Calculate r1(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas dr1 d ri(t) · r2(t)] = r1(t) · dr2 r2(t) and dt %3D dt dt d dr2 dri ri(t) x r2(t)] = r1(t) × x r2(t). dt dt dt ri(t) = 6ti + 6t°j + 6t°k, r2(t) = t°k d [r:(t) · r2(t)] = dt d [ri(t) × r2(t)] = dt
d d Calculate r1(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas dr1 d ri(t) · r2(t)] = r1(t) · dr2 r2(t) and dt %3D dt dt d dr2 dri ri(t) x r2(t)] = r1(t) × x r2(t). dt dt dt ri(t) = 6ti + 6t°j + 6t°k, r2(t) = t°k d [r:(t) · r2(t)] = dt d [ri(t) × r2(t)] = dt
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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