R(t) = = {{In(3 In(3 – t), (0, -1, 4), 4t-8 4-t2⁹ 8), 3t² – 8 t#2 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

Given the vector-valued function below, solve for the following:

a. Domain of R
b. Show that R is continuous at t = 2.
c. If f(t) = t^2, evaluate (R◦f)'(-1)

R(t)
4t 8
In(3
=
-{{(1-(3-1), 42-272, 3²-8).
4-t²⁹
(0,-1,4),
t#2
t = 2.
Transcribed Image Text:R(t) 4t 8 In(3 = -{{(1-(3-1), 42-272, 3²-8). 4-t²⁹ (0,-1,4), t#2 t = 2.
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