d d Calculate[ri(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating · dt dt the product directly and then by applying the formulas d dr₂ dr₁ #[r₁(t) · r₂(t)] = r₁(t). + r₂(t) and dt dt dt d dr₂ dri [r₁(t) × r2(t)] = r₁(t) × + x r₂(t). dt dt dt r₁(t) = cos(t)i + sin(t)j +7tk, r₂(t) = 6i + tk d -[r₁(t) · r₂(t)] = = dt d [r₁(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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d
d
Calculate[ri(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating
·
dt
dt
the product directly and then by applying the formulas
d
dr₂ dr₁
#[r₁(t) · r₂(t)] = r₁(t). + r₂(t) and
dt
dt dt
d
dr₂ dri
[r₁(t) × r2(t)] = r₁(t) × + x r₂(t).
dt
dt dt
r₁(t) = cos(t)i + sin(t)j +7tk, r₂(t) = 6i + tk
d
-[r₁(t) · r₂(t)] =
=
dt
d
[r₁(t) × r2(t)] = [
dt
Transcribed Image Text:d d Calculate[ri(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating · dt dt the product directly and then by applying the formulas d dr₂ dr₁ #[r₁(t) · r₂(t)] = r₁(t). + r₂(t) and dt dt dt d dr₂ dri [r₁(t) × r2(t)] = r₁(t) × + x r₂(t). dt dt dt r₁(t) = cos(t)i + sin(t)j +7tk, r₂(t) = 6i + tk d -[r₁(t) · r₂(t)] = = dt d [r₁(t) × r2(t)] = [ dt
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