Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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![Calculateri(t) r2(t)] and 1 de dri(t):
the product directly and then by applying the formulas
d
dr₂ dr₁
[ri(t) r₂(t)] = r₁(t). + r₂(t) and
dt
dt
dt
d
dr2
dr₁
[r₁(t) × r₂(t)] = r₁(t) x
ri(t) >
+ x r₂(t).
dt
dt dt
r₁(t) = 4ti + 2t²j+5t³k, r₂(t) = t¹k
d
r₁(t) · r2(t)] = [35 + 6
X
dt
d
r₁(t) × r2(t)] = [12 + 5 i − 20+4 j| X
dt
[r₁(t) x r₂(t)] first by differentiating](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F714a355e-64ac-4c25-8d25-876d71252f19%2Ff2736c96-52e2-4041-bb66-3e1f44e71320%2Fwyz7fqr_processed.png&w=3840&q=75)
Transcribed Image Text:Calculateri(t) r2(t)] and 1 de dri(t):
the product directly and then by applying the formulas
d
dr₂ dr₁
[ri(t) r₂(t)] = r₁(t). + r₂(t) and
dt
dt
dt
d
dr2
dr₁
[r₁(t) × r₂(t)] = r₁(t) x
ri(t) >
+ x r₂(t).
dt
dt dt
r₁(t) = 4ti + 2t²j+5t³k, r₂(t) = t¹k
d
r₁(t) · r2(t)] = [35 + 6
X
dt
d
r₁(t) × r2(t)] = [12 + 5 i − 20+4 j| X
dt
[r₁(t) x r₂(t)] first by differentiating
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