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5. (20 points) Consider the function y(t) shown below. Answer the following
equations regarding this function. Show all your work for full credit.
10
9
8
7
6
4
3
2
0
time (s!
(a) Plot the function y(t/2+3). Make sure to show relevant details like
specific time values. A generic plot without labels is not sufficient.
(b) Determine and simplifiy y(t):(t).
(c) Determine and simplifiy y(t)&(t - 5).
(1) Determine, simplify and plot y(t)&(t)dt.
(e) Determine, simplify and plot y(t)&(t+1)dt.
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Explanation & Answer
Attached. Please let me know if you have any questions or need revisions.
The function is
t −2
0,
10,
−2 t 0
y (t ) =
10 − 5t , 0 ...
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