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 d dr₂ dri 77[r1(t) · r2(t)] = r1(t) · + dt dt r₂(t) and dt d dr₂ dri [r₁(t) × r₂(t)] = r₁(t) × + x r₂(t). dt dt dt r₁(t) = 9ti + 2t²j + 6t³k, r₂(t) = t¹k d [r₁(t) · r₂(t)] = 42 tº dt d [r₁(t) × r₂(t)] = 4 t5 i – 27 t¹ j X 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 d dr₂ dri 77[r1(t) · r2(t)] = r1(t) · + dt dt r₂(t) and dt d dr₂ dri [r₁(t) × r₂(t)] = r₁(t) × + x r₂(t). dt dt dt r₁(t) = 9ti + 2t²j + 6t³k, r₂(t) = t¹k d [r₁(t) · r₂(t)] = 42 tº dt d [r₁(t) × r₂(t)] = 4 t5 i – 27 t¹ j X dt .
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
why am i wrong?
![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
d
dr₂ dri
77[r1(t) · r2(t)] = r1(t) ·
+
dt dt
r₂(t) and
dt
d
dr₂ dri
[r₁(t) × r₂(t)] = r₁(t) × + x r₂(t).
dt
dt dt
r₁(t) = 9ti + 2t²j + 6t³k, r₂(t) = t¹k
d
[r₁(t) · r₂(t)] = 42 tº
dt
d
[r₁(t) × r₂(t)] = 4 t5 i – 27 t¹ j
X
dt
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Transcribed Image Text: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
d
dr₂ dri
77[r1(t) · r2(t)] = r1(t) ·
+
dt dt
r₂(t) and
dt
d
dr₂ dri
[r₁(t) × r₂(t)] = r₁(t) × + x r₂(t).
dt
dt dt
r₁(t) = 9ti + 2t²j + 6t³k, r₂(t) = t¹k
d
[r₁(t) · r₂(t)] = 42 tº
dt
d
[r₁(t) × r₂(t)] = 4 t5 i – 27 t¹ j
X
dt
.
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