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) = 4ti + 5t²j+4t³k, r₂(t) = t¹k d dt dt [ri(t) r₂(t)] [r₁(t) x r₂(t)] = = = +
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) = 4ti + 5t²j+4t³k, r₂(t) = t¹k d dt dt [ri(t) r₂(t)] [r₁(t) x r₂(t)] = = = +
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 dr₁
#r₁(t) - r2₂(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) = 4ti + 5t²j+4t³k, r₂(t) = t¹k
d
dt
d
dt
[r₁(t) · r₂(t)]
[r₁1(t) × r₂(t)]
=
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41d3d13a-344f-449e-8206-c933344ddd10%2Fb0e87f00-c89a-4b19-ad04-847e670f630a%2Fb323zpj_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 dr₁
#r₁(t) - r2₂(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) = 4ti + 5t²j+4t³k, r₂(t) = t¹k
d
dt
d
dt
[r₁(t) · r₂(t)]
[r₁1(t) × r₂(t)]
=
=
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