Let y(t)= r(t)-2r(t-1)+r(t-3)+u(t-4), where r(t) is the ramp function. a) plot y(t) (10 pts.) b) plot z(t)=y(2t-1) (10 pts.) c) plot y'(t) (10 pts.) d) calculate the energy of y(t) (10 pts.) note: r(t)=t for t≥0 and 0 for t<0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let y(t)= r(t)-2r(t-1)+r(t-3)+u(t-4), where r(t) is the ramp function.
a) plot y(t) (10 pts.)
b) plot z(t)=y(2t-1) (10 pts.)
c) plot y'(t) (10 pts.)
d) calculate the energy of y(t) (10 pts.)
note: r(t)=t for t≥0 and 0 for t<0
Transcribed Image Text:Let y(t)= r(t)-2r(t-1)+r(t-3)+u(t-4), where r(t) is the ramp function. a) plot y(t) (10 pts.) b) plot z(t)=y(2t-1) (10 pts.) c) plot y'(t) (10 pts.) d) calculate the energy of y(t) (10 pts.) note: r(t)=t for t≥0 and 0 for t<0
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