Calculate[ri(t) r2(t)] and[ri(t) x r₂(t)] first by differentiating dt dt the product directly and then by applying the formulas r₂(t) and d dt [r₁(t) r₂(t)] = r₁(t).- · dt dr₂ dri [r₁(t) × r₂(t)] = r₁(t) × + x r₂(t). dt dt dr₂ dr₁ dt dt r₁(t) r2(t)] = [ [ri(t) x r₂(t)] = = ri(t) = 9ti + 6t²j+7t³k, r₂(t) = t¹k + [
Calculate[ri(t) r2(t)] and[ri(t) x r₂(t)] first by differentiating dt dt the product directly and then by applying the formulas r₂(t) and d dt [r₁(t) r₂(t)] = r₁(t).- · dt dr₂ dri [r₁(t) × r₂(t)] = r₁(t) × + x r₂(t). dt dt dr₂ dr₁ dt dt r₁(t) r2(t)] = [ [ri(t) x r₂(t)] = = ri(t) = 9ti + 6t²j+7t³k, r₂(t) = t¹k + [
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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Question
![Calculate[ri(t) r2(t)] and[ri(t) x r₂(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
r₂(t) and
d
dt
[r₁(t) r₂(t)] = r₁(t).-
·
dt
dr₂ dri
[r₁(t) × r₂(t)] = r₁(t) × + x r₂(t).
dt dt
dr₂ dr₁
dt dt
r₁(t) r2(t)] = [
[ri(t) x r₂(t)] =
=
ri(t) = 9ti + 6t²j+7t³k, r₂(t) = t¹k
+
[](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e221d50-56f3-4ab7-a430-35d269ad39b3%2F57466c67-97b3-41b5-a49d-227a8bbc3f43%2Foq4fifu_processed.png&w=3840&q=75)
Transcribed Image Text:Calculate[ri(t) r2(t)] and[ri(t) x r₂(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
r₂(t) and
d
dt
[r₁(t) r₂(t)] = r₁(t).-
·
dt
dr₂ dri
[r₁(t) × r₂(t)] = r₁(t) × + x r₂(t).
dt dt
dr₂ dr₁
dt dt
r₁(t) r2(t)] = [
[ri(t) x r₂(t)] =
=
ri(t) = 9ti + 6t²j+7t³k, r₂(t) = t¹k
+
[
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