(B) Use interval notation to indicate the interval or union of intervals where A(x) is increasing and decreasing. A(x) is increasing for z in the interval A(x) is decreasing for a in the interval (C) Find where A(x) has its maximum and minimum values. A(r) has its maximum value when a = A(r) has its minimum value when z =

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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(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(r) has its maximum value when a =
A(x) has its minimum value when z =
Transcribed Image Text:(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(r) has its maximum value when a = A(x) has its minimum value when z =
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(x) with domain 0 <x < 8 by
A(x) = f(t) dt.
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.
1.0
1.0
F1
Graph of y = f(t)
(A) Find the following values of the function A(x).
A(0)
A(1)
A(2)
A(3)
1/2
A(4) =
А(5) —
5/2
A(6)
3/2
A(7) =
A(8)
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(x) with domain 0 <x < 8 by A(x) = f(t) dt. 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. 1.0 1.0 F1 Graph of y = f(t) (A) Find the following values of the function A(x). A(0) A(1) A(2) A(3) 1/2 A(4) = А(5) — 5/2 A(6) 3/2 A(7) = A(8)
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