Consider the graph of y = y 2 1 -1 1 f(t) dt, where f is a piecewise constant function. Az 2 3 4 5 X (a) Over which intervals is f positive? (Enter your answer using interval notation. If an answer does not exist, enter DNE.)

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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Consider the graph of y =
y
2
A
2
3
4
[² f(t) dt, where f is a piecewise constant function.
(a) Over which intervals is f positive? (Enter your answer using interval notation. If an answer does not exist, enter DNE.)
4 17
3' 5
19
U 3.
5
X
Over which intervals is it negative? (Enter your answer using interval notation. If an answer does not exist, enter DNE.)
[0][16]
0.
Over which intervals, if any, is it equal to zero? (Enter your answer using interval notation. If an answer does not exist, enter DNE.)
[1, 2] U
5
(b) What are the maximum and minimum values of f?
maximum value 2
minimum value
X
-3
X
Transcribed Image Text:Consider the graph of y = y 2 A 2 3 4 [² f(t) dt, where f is a piecewise constant function. (a) Over which intervals is f positive? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) 4 17 3' 5 19 U 3. 5 X Over which intervals is it negative? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) [0][16] 0. Over which intervals, if any, is it equal to zero? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) [1, 2] U 5 (b) What are the maximum and minimum values of f? maximum value 2 minimum value X -3 X
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