Calculateri(t) r2(t)] and r₁(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr2 dri [ri(t) r₂(t)] = r₁(t). + r₂(t) and dt dt dt d dr₂ dri [ri(t) x r₂(t)] = ri(t) x + x r₂(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 3tk, r₂(t) = 2i + tk [r₁(t) · r₂(t)] = [6 t - 2 sin(t) ✓ dt [ri(t) r₂(t)] x r₂(t)] = t (sin(t) + cos(t))i + (6 +t sin(t-cos(t))) j-2 cos(t) k dt X
Calculateri(t) r2(t)] and r₁(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr2 dri [ri(t) r₂(t)] = r₁(t). + r₂(t) and dt dt dt d dr₂ dri [ri(t) x r₂(t)] = ri(t) x + x r₂(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 3tk, r₂(t) = 2i + tk [r₁(t) · r₂(t)] = [6 t - 2 sin(t) ✓ dt [ri(t) r₂(t)] x r₂(t)] = t (sin(t) + cos(t))i + (6 +t sin(t-cos(t))) j-2 cos(t) k dt X
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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Hello, I need help with this. 9t is not the answer and also the one that is in the picture is not the correct answer as well.
![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 dri
[ri(t) r₂(t)] = ri(t).
r₂(t) and
dt
dt
dt
d
dr₂ dri
[r₁(t) × r₂(t)] = r₁(t) x + x r₂(t).
dt dt
dt
r₁(t)
=
cos(t)i + sin(t)j + 3tk, r₂(t) = 2i + tk
d
[ri(t) r₂(t)] = 6t-2 sin(t)
dt
d
[ri(t) x r₂(t)]
ri(t) >
= t (sin(t) + cos(t))i + (6 +t sin(t-cos(t))) j-2 cos(t) k
dt
+
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F134322a0-f519-4cf3-a71d-78cbbba7db19%2F1692e3f3-73e2-4bfb-9547-24d6bc2e9b0a%2F4vglri_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
dt
the product directly and then by applying the formulas
d
dr₂ dri
[ri(t) r₂(t)] = ri(t).
r₂(t) and
dt
dt
dt
d
dr₂ dri
[r₁(t) × r₂(t)] = r₁(t) x + x r₂(t).
dt dt
dt
r₁(t)
=
cos(t)i + sin(t)j + 3tk, r₂(t) = 2i + tk
d
[ri(t) r₂(t)] = 6t-2 sin(t)
dt
d
[ri(t) x r₂(t)]
ri(t) >
= t (sin(t) + cos(t))i + (6 +t sin(t-cos(t))) j-2 cos(t) k
dt
+
X
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