4. Consider the vector-valued function R(t) = a. Find the domain of R b. Show that R is continuous at t = 2 c. Evaluate (R of)'(−1) if ƒ (t) = t² 4 4t-8 4-t² (0, -1,4), t = 2 In(3 – t),- 2, 3t² − 8), t ± 2 - #
4. Consider the vector-valued function R(t) = a. Find the domain of R b. Show that R is continuous at t = 2 c. Evaluate (R of)'(−1) if ƒ (t) = t² 4 4t-8 4-t² (0, -1,4), t = 2 In(3 – t),- 2, 3t² − 8), t ± 2 - #
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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Question
Transcribed Image Text:4. Consider the vector-valued function
R(t)
a. Find the domain of R
b. Show that R is continuous at t = 2
c. Evaluate (R • ƒ)'(−1) if ƒ (t) = t²
4t-8
4-t²
(0, -1,4), t = 2
= {{In (3-1), 4
In(3
2, 3t² − 8), t ± 2
-
#
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