Let f(x) = 0 5 It may be b -3 if 0 < x < 3 0 if x ≥ 3 and g(x) = f(t)dt if x < -3 if -3 < x < 0 x -3 Determine the value of each of the following: (a) g(-4)= (b) g(-2) = (c) g(1) = (d) g(4) = (e) The absolute maximum of g(x) occurs when a and is the valu

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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Let
f(x) =
and
0
5
-3 if 0 < x < 3
0
if x ≥ 3
g(x) = f(
- 3
if x < − 3
I
if -3 < x < 0
Determine the value of each of the following:
(a) g(-4)=
(b) g(-2) =
(c) g(1) =
(d) g(4) =
(e) The absolute maximum of g(x) occurs when a
It may be helpful
and is the value
Transcribed Image Text:Let f(x) = and 0 5 -3 if 0 < x < 3 0 if x ≥ 3 g(x) = f( - 3 if x < − 3 I if -3 < x < 0 Determine the value of each of the following: (a) g(-4)= (b) g(-2) = (c) g(1) = (d) g(4) = (e) The absolute maximum of g(x) occurs when a It may be helpful and is the value
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