d d Calculate ri(t)· r2(t)] and dt [ri(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas d dri r(t) - r2(t)] = r1(t) · dr2 + dt r2(t) and dt dt d dr2 + dt dri ri(t) x r2(t)] = r;(t) x x r2(t). dt dt ri(t) = 2ti + 9t²j + 4t°k, r2(t) = t*k d [r(t) · r2(t)] = dt d dr:(t) × r2(t)]
d d Calculate ri(t)· r2(t)] and dt [ri(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas d dri r(t) - r2(t)] = r1(t) · dr2 + dt r2(t) and dt dt d dr2 + dt dri ri(t) x r2(t)] = r;(t) x x r2(t). dt dt ri(t) = 2ti + 9t²j + 4t°k, r2(t) = t*k d [r(t) · r2(t)] = dt d dr:(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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Calculate by differentiating the product directly and then by applying the formulas.
r1(t) = 2ti + 9t2j + 4t3k, r2(t) = t4k
![d
d
Calculate ri(t)· r2(t)] and
dt
[ri(t) × r2(t)] first by differentiating
dt
the product directly and then by applying the formulas
d
dri
r(t) - r2(t)] = r1(t) ·
dr2
+
dt
r2(t) and
dt
dt
d
dr2
+
dt
dri
ri(t) x r2(t)] = r;(t) x
x r2(t).
dt
dt
ri(t) = 2ti + 9t²j + 4t°k, r2(t) = t*k
d
[r(t) · r2(t)] =
dt
d
dr:(t) × r2(t)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa65866b6-df57-4eef-847f-9595b2aac441%2Fe6450b9f-ae53-4188-a847-bc1a13706624%2Fnpnoa2b_processed.png&w=3840&q=75)
Transcribed Image Text:d
d
Calculate ri(t)· r2(t)] and
dt
[ri(t) × r2(t)] first by differentiating
dt
the product directly and then by applying the formulas
d
dri
r(t) - r2(t)] = r1(t) ·
dr2
+
dt
r2(t) and
dt
dt
d
dr2
+
dt
dri
ri(t) x r2(t)] = r;(t) x
x r2(t).
dt
dt
ri(t) = 2ti + 9t²j + 4t°k, r2(t) = t*k
d
[r(t) · r2(t)] =
dt
d
dr:(t) × r2(t)]
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