1. Use the properties of the shifted Heaviside function u(t-a) and delta function (t-a) to evaluate the following expressions: (a) f(t)= (4t+2)u(t-1) at t=0; (b) (4+ (4t+2)u(t-1)dt; (40+) (4t+2)6(t-1)dt; (c) (d) [(4t+2)u(t-1)]. Simplify your answers as much as possible.
1. Use the properties of the shifted Heaviside function u(t-a) and delta function (t-a) to evaluate the following expressions: (a) f(t)= (4t+2)u(t-1) at t=0; (b) (4+ (4t+2)u(t-1)dt; (40+) (4t+2)6(t-1)dt; (c) (d) [(4t+2)u(t-1)]. Simplify your answers as much as possible.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![1. Use the properties of the shifted Heaviside function u(t- a) and delta function 6(t-a) to
evaluate the following expressions:
(a) f(t) = (4t+2)u(t-1) at t = 0;
(4t+2)u(t-1)dt;
(4t+2)6(t-1)dt;
d
(d) [(41 + 2)u(t-1)].
dt
Simplify your answers as much as possible.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81d21141-6551-4f5f-aede-0a79467fdc0f%2F21301933-ae44-4921-9d9a-7874bd06232e%2F1jkag79_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Use the properties of the shifted Heaviside function u(t- a) and delta function 6(t-a) to
evaluate the following expressions:
(a) f(t) = (4t+2)u(t-1) at t = 0;
(4t+2)u(t-1)dt;
(4t+2)6(t-1)dt;
d
(d) [(41 + 2)u(t-1)].
dt
Simplify your answers as much as possible.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
