d dt Calculate ri(t) r₂(t)] and r₁(t) x r2(t)] first by differentiating · dt the product directly and then by applying the formulas d -[r₁(t) · r₂(t)] = r₁(t) · - dt d dt dr₂ dri + dt dt . r2(t) and dr2 dr₁ [r₁(t) × r₂(t)] = r₁(t) × + dt dt x r₂(t). ri(t) = 4ti +8t²j+2t³k, r₂(t) = t¹k
d dt Calculate ri(t) r₂(t)] and r₁(t) x r2(t)] first by differentiating · dt the product directly and then by applying the formulas d -[r₁(t) · r₂(t)] = r₁(t) · - dt d dt dr₂ dri + dt dt . r2(t) and dr2 dr₁ [r₁(t) × r₂(t)] = r₁(t) × + dt dt x r₂(t). ri(t) = 4ti +8t²j+2t³k, r₂(t) = t¹k
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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
dt
[r₁(t) · r₂(t)] = r₁(t) ·
.
d
dt
d
dr2
-[r₁(t) × r₂(t)] = r₁(t) × +
dt
dt
ri(t)- r₂(t)] = [14 tº
t6
dr2 dri
+
dt
[ri(t) x r₂(t)]
dt
-
.
r₁(t) = 4ti +8t²j+ 2t³k, r₂(t) = t¹k
32 t5 - 12 t4
r₂(t) and
dr₁
dt
x r₂(t).
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb79fb832-50db-45d1-bccd-3f579dc64720%2F3e837383-9a95-4996-8b92-7bb61dd2f9f7%2F12jnfd_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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
dt
[r₁(t) · r₂(t)] = r₁(t) ·
.
d
dt
d
dr2
-[r₁(t) × r₂(t)] = r₁(t) × +
dt
dt
ri(t)- r₂(t)] = [14 tº
t6
dr2 dri
+
dt
[ri(t) x r₂(t)]
dt
-
.
r₁(t) = 4ti +8t²j+ 2t³k, r₂(t) = t¹k
32 t5 - 12 t4
r₂(t) and
dr₁
dt
x r₂(t).
X
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
