d d Calculate[ri(t) r₂(t)] and[r₁(t) × r₂(t)] first by differentiating dt the product directly and then by applying the formulas d dr₂ dri [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) = 9ti + 3t²j+8t³k, r₂(t) = t¹k d [ri(t) r₂(t)]= = dt [ri(t) x r₂(t)] (1) x. d dt =
d d Calculate[ri(t) r₂(t)] and[r₁(t) × r₂(t)] first by differentiating dt the product directly and then by applying the formulas d dr₂ dri [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) = 9ti + 3t²j+8t³k, r₂(t) = t¹k d [ri(t) r₂(t)]= = dt [ri(t) x r₂(t)] (1) x. d dt =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 35E
Related questions
Question
![d
d
Calculate[ri(t) r₂(t)] and[r₁(t) × r₂(t)] first by differentiating
dt
the product directly and then by applying the formulas
d
dr2 dri
[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)
=
9ti + 3t²j+8t³k, r₂(t) = t¹k
d
=
[r₁(t) r₂(t)]=
dt
[ri(t) x r₂(t)]
(1) x.
d
dt
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4602ee11-616d-446e-941b-667291adcf86%2F1837a98e-8645-4636-8599-d6ab505f6a34%2Fp2ex21_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d
d
Calculate[ri(t) r₂(t)] and[r₁(t) × r₂(t)] first by differentiating
dt
the product directly and then by applying the formulas
d
dr2 dri
[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)
=
9ti + 3t²j+8t³k, r₂(t) = t¹k
d
=
[r₁(t) r₂(t)]=
dt
[ri(t) x r₂(t)]
(1) x.
d
dt
=
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