d Calculateri(t) r2(t)] and [r₁(t) × r2(t)] first by differentiating 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 dr₁ -[r₁(t) × r₂(t)] = r₁(t) × + x r₂(t). dt dt dt r₁(t) = 6ti + 4t²j + 5t³k,__r₂(t) = tªk d dt 77[r₁(t) · r₂(t)] = = | dri(t) > -=[r₁(t) × r₂(t)] = =
d Calculateri(t) r2(t)] and [r₁(t) × r2(t)] first by differentiating 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 dr₁ -[r₁(t) × r₂(t)] = r₁(t) × + x r₂(t). dt dt dt r₁(t) = 6ti + 4t²j + 5t³k,__r₂(t) = tªk d dt 77[r₁(t) · r₂(t)] = = | dri(t) > -=[r₁(t) × r₂(t)] = =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 dr₁
-[r₁(t) × r₂(t)] = r1₁(t) × · + x r₂(t).
dt
dt dt
r₁(t) = 6ti + 4t²j + 5t³k, r₂(t) = t¹k
d
{ [r₁(t) · r2(t)] =
=
dt
d
dt
[r₁(t) × r₂(t)] =
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28ebdc36-eee9-42b7-8b62-c6591718248a%2F372ba567-4953-41fc-b819-09b68863c843%2F961micf_processed.png&w=3840&q=75)
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 dr₁
-[r₁(t) × r₂(t)] = r1₁(t) × · + x r₂(t).
dt
dt dt
r₁(t) = 6ti + 4t²j + 5t³k, r₂(t) = t¹k
d
{ [r₁(t) · r2(t)] =
=
dt
d
dt
[r₁(t) × r₂(t)] =
=
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