Let f(x) = 0 3 -2 - 0 if x < -5 if -5 < x < 1 if 1 < x < 5 and I g(x) = ª* f(t)dt = if = Determine the value of each of the following: (a) g(7): (b) g(-4): (c) g(2) = (d) g(6)= (e) The absolute maximum of g(x) occurs when a It may be helpful to make a graph of f(x) when answering these questions. x > 5 and is the value
Let f(x) = 0 3 -2 - 0 if x < -5 if -5 < x < 1 if 1 < x < 5 and I g(x) = ª* f(t)dt = if = Determine the value of each of the following: (a) g(7): (b) g(-4): (c) g(2) = (d) g(6)= (e) The absolute maximum of g(x) occurs when a It may be helpful to make a graph of f(x) when answering these questions. x > 5 and is the value
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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Transcribed Image Text:Let
f(x) =
0
3
-2 if 1 < x < 5
0
if x < -5
if -5 < x < 1
and
I
9(x) = f* f(t)dt
=
if
=
Determine the value of each of the following:
(a) g(7):
(b) g(-4):
(c) g(2) =
(d) g(6)=
(e) The absolute maximum of g(x) occurs when a
It may be helpful to make a graph of f(x) when answering these questions.
x > 5
and is the value
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