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

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

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.

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Question

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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