Consider the following vector function. r(t): (6√2t, e6t, e-6t) (a) Find the unit tangent and unit normal vectors T(t) and N(t). 6e -6t) (6√2, 6e6t, - be √72+36e¹2t+36e -12t T(t) N(t) = = k(t) (b) Use this formula to find the curvature. √2 = 2+e¹2t X te -12t
Consider the following vector function. r(t): (6√2t, e6t, e-6t) (a) Find the unit tangent and unit normal vectors T(t) and N(t). 6e -6t) (6√2, 6e6t, - be √72+36e¹2t+36e -12t T(t) N(t) = = k(t) (b) Use this formula to find the curvature. √2 = 2+e¹2t X te -12t
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
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Please find N(t)
![Consider the following vector function.
r(t) = (6√2t, et, e-6t)
(a) Find the unit tangent and unit normal vectors T(t) and N(t).
(6√2, 6e6t -6e-6t)
√72+36e¹21
- 12t
T(t) =
N(t)
=
k(t) =
(b) Use this formula to find the curvature.
√2
12t - 12t
te
+36e
2 + e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb787237-32bd-4647-baa5-49b05320a55c%2F7081435f-566a-432a-b19e-abe43656c277%2Fg9i8xmb_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following vector function.
r(t) = (6√2t, et, e-6t)
(a) Find the unit tangent and unit normal vectors T(t) and N(t).
(6√2, 6e6t -6e-6t)
√72+36e¹21
- 12t
T(t) =
N(t)
=
k(t) =
(b) Use this formula to find the curvature.
√2
12t - 12t
te
+36e
2 + e
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