The graph of f(t) is given below: 16 1,8 = 1.8 (Click on graph to enlarge) a. Represent f(t) using a combination of Heaviside step functions. Use h(t - a) for the Heaviside function shifted a units horizontally. f(t) = 3(t-1)h(t-1)-3(t-6)h(t-6)-15h(t-8) b. Find the Laplace transform F(s) = L{f(t)} for s + 0. F(s) = L{f(t)} (3e^(-5)-3e^(-69)-159e^(-5))/s^2 help (formulas) help (formulas)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
The graph of f(t) is given below:
16
1,8
=
1.8
(Click on graph to enlarge)
a. Represent f(t) using a combination of Heaviside step functions. Use h(t - a) for the Heaviside function shifted a units
horizontally.
f(t) = 3(t-1)h(t-1)-3(t-6)h(t-6)-15h(t-8)
b. Find the Laplace transform F(s) = L{f(t)} for s + 0.
F(s) = L{f(t)}
(3e^(-5)-3e^(-69)-159e^(-5))/s^2
help (formulas)
help (formulas)
Transcribed Image Text:The graph of f(t) is given below: 16 1,8 = 1.8 (Click on graph to enlarge) a. Represent f(t) using a combination of Heaviside step functions. Use h(t - a) for the Heaviside function shifted a units horizontally. f(t) = 3(t-1)h(t-1)-3(t-6)h(t-6)-15h(t-8) b. Find the Laplace transform F(s) = L{f(t)} for s + 0. F(s) = L{f(t)} (3e^(-5)-3e^(-69)-159e^(-5))/s^2 help (formulas) help (formulas)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,