Find T, N, and k for the space curve r(t) = (5 sin t)i + (5 cos t) j+ 12tk. T(t) =i+j+k
Find T, N, and k for the space curve r(t) = (5 sin t)i + (5 cos t) j+ 12tk. T(t) =i+j+k
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Find \(\mathbf{T}\), \(\mathbf{N}\), and \(\kappa\) for the space curve \(\mathbf{r}(t)\) = \(5 \sin(t) \mathbf{i} + (5 \cos(t) \mathbf{j} + 12t \mathbf{k}\).
\[
\mathbf{T}(t) = \left( \boxed{\phantom{0}} \right) \mathbf{i} + \left( \boxed{\phantom{0}} \right) \mathbf{j} + \left( \boxed{\phantom{0}} \right) \mathbf{k}
\]
There are no graphs or diagrams in this image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d576798-e517-451f-b302-9c2c35ed41b2%2F23547894-ee99-4fca-8799-93c4d0f872c3%2Fr5k3mp5_processed.png&w=3840&q=75)
Transcribed Image Text:Find \(\mathbf{T}\), \(\mathbf{N}\), and \(\kappa\) for the space curve \(\mathbf{r}(t)\) = \(5 \sin(t) \mathbf{i} + (5 \cos(t) \mathbf{j} + 12t \mathbf{k}\).
\[
\mathbf{T}(t) = \left( \boxed{\phantom{0}} \right) \mathbf{i} + \left( \boxed{\phantom{0}} \right) \mathbf{j} + \left( \boxed{\phantom{0}} \right) \mathbf{k}
\]
There are no graphs or diagrams in this image.
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