QUESTION 4 Find the unit tangent vector of r(t) = -4 5 = V-42 = i+ln(t)k, 1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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I need help with both of these I started number 4 but got a little confused and not sure if I’m doing it correctly. Step by step please
QUESTION 4
Find the unit tangent vector of r(t) =
-4
5
=
V-42
=
i+ln(t)k, 1<t< 20.
QUESTION 5
Write the line segment given by r(t) = (1 - 2t)i + 6tj + (1 + 3t)k as a function r(s) parameterized by the arc-
length s from the point where t = 1. Write your answer using standard unit vector notation.
r(s) =
Transcribed Image Text:QUESTION 4 Find the unit tangent vector of r(t) = -4 5 = V-42 = i+ln(t)k, 1<t< 20. QUESTION 5 Write the line segment given by r(t) = (1 - 2t)i + 6tj + (1 + 3t)k as a function r(s) parameterized by the arc- length s from the point where t = 1. Write your answer using standard unit vector notation. r(s) =
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