Given g(s) = 6s² + (a) g(1) 7 (b) g(-1) 5 (c) g(2) 24.5 (d) g(x) 6x² + (e) g(s + h) 18 X 1 S find the following. (6.5² +6h² + 128h) (s + h) + 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
Given g(s)
(a) g(1)
7
(b) g(-1)
5
(c) g(2)
24.5
=
(d) g(x)
6s² +
6x² +
(e) g(s + h)
X
1
S
find the following.
(6s² + 6h² + 128h) (s + h) + 1
(s + h)
(f) g(s + h) – g(s)
(6sh³ + 18s²h² + 12s³h - h)
s(s+h)
X
Transcribed Image Text:Given g(s) (a) g(1) 7 (b) g(-1) 5 (c) g(2) 24.5 = (d) g(x) 6s² + 6x² + (e) g(s + h) X 1 S find the following. (6s² + 6h² + 128h) (s + h) + 1 (s + h) (f) g(s + h) – g(s) (6sh³ + 18s²h² + 12s³h - h) s(s+h) X
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