Find D[r(t) u(t)] and D[r(t) × u(t)] in two different ways. r(t) = ti + 6t²j+t³k, u(t)= tªk (a) De[r(t). u(t)] (i) Find the product first, then differentiate. Dt[r(t). u(t)] = (b) li li (ii) Apply the properties of Theorem 12.2. Dt[r(t). u(t)]= li li Dt[r(t) = u(t)] (i) Find the product first, then differentiate. Dt[r(t) = u(t)] = li li (ii) Apply the properties of Theorem 12.2. Dt[r(t) = u(t)] = li li
Find D[r(t) u(t)] and D[r(t) × u(t)] in two different ways. r(t) = ti + 6t²j+t³k, u(t)= tªk (a) De[r(t). u(t)] (i) Find the product first, then differentiate. Dt[r(t). u(t)] = (b) li li (ii) Apply the properties of Theorem 12.2. Dt[r(t). u(t)]= li li Dt[r(t) = u(t)] (i) Find the product first, then differentiate. Dt[r(t) = u(t)] = li li (ii) Apply the properties of Theorem 12.2. Dt[r(t) = u(t)] = li li
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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12.2
Q5
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Please solve correctly in 30 minutes and get the thumbs up please show neat and clean work
![Find D[r(t) u(t)] and D[r(t) x u(t)] in two different ways.
r(t) = ti + 6t²j+t³k, u(t)= tk
(a)
De[r(t). u(t)]
(i) Find the product first, then differentiate.
Dt[r(t). u(t)] =
(b)
li
li
(ii) Apply the properties of Theorem 12.2.
Dt[r(t). u(t)] =
li
li
Dt[r(t) x u(t)]
(i) Find the product first, then differentiate.
Dt[r(t) x u(t)] =
li
li
(ii) Apply the properties of Theorem 12.2.
Dt[r(t) = u(t)] =
li
li](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F270a7167-3c73-48e2-a405-df008c65eadb%2Fb26604cc-9bbf-4577-9f2e-f800bf54b908%2Fnh6xytj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find D[r(t) u(t)] and D[r(t) x u(t)] in two different ways.
r(t) = ti + 6t²j+t³k, u(t)= tk
(a)
De[r(t). u(t)]
(i) Find the product first, then differentiate.
Dt[r(t). u(t)] =
(b)
li
li
(ii) Apply the properties of Theorem 12.2.
Dt[r(t). u(t)] =
li
li
Dt[r(t) x u(t)]
(i) Find the product first, then differentiate.
Dt[r(t) x u(t)] =
li
li
(ii) Apply the properties of Theorem 12.2.
Dt[r(t) = u(t)] =
li
li
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