(A) Find the following values of the function A(x). A(0) A(1) A(2) = A(3) A(4) A(5) A(6) A(7) A(8) = = (B) Use interval notation to indicate the interval or union of intervals where A(x) is increasing and decreasing. A(x) is increasing for a in the interval A(x) is decreasing for x in the interval (C) Find where A(x) has its maximum and minimum values. A(x) has its maximum value when x = A(x) has its minimum value when x =
(A) Find the following values of the function A(x). A(0) A(1) A(2) = A(3) A(4) A(5) A(6) A(7) A(8) = = (B) Use interval notation to indicate the interval or union of intervals where A(x) is increasing and decreasing. A(x) is increasing for a in the interval A(x) is decreasing for x in the interval (C) Find where A(x) has its maximum and minimum values. A(x) has its maximum value when x = A(x) has its minimum value when x =
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:(A) Find the following values of the function A(x).
A(0)
A(1):
A(2):
A(3)
A(4)
A(5)
A(6)
A(7):
A(8)
=
=
=
||
||
=
||
(B) Use interval notation to indicate the interval or union of intervals where A(x) is increasing and decreasing.
A(x) is increasing for x in the interval
A(x) is decreasing for in the interval
(C) Find where A(x) has its maximum and minimum values.
A(x) has its maximum value when x =
A(x) has its minimum value when x=
Transcribed Image Text:Let f(t) be the piecewise linear function with domain 0 ≤ t ≤ 8 shown in the graph below (which is determined by connecting the dots). Define
a function A(z) with domain 0 ≤ x ≤ 8 by
Notice that A(x) is the net area under the function f(t) for 0 ≤ t ≤ x. If you click on the graph below, a full-size picture of the graph will open
in another window.
9
Tu
1,0
(A) Find the following values of the function A(x).
A(0) =
A(1) =
A(2) =
A(3) =
A(4)
A(x) = = √ ² f
1,0
f(t) dt.
Graph of y = f(t)
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