Consider the function f(t) = { sin(t = (sin(t - 4π) if 0 < t < 4T if 4 < t. a. Use the graph of this function to write it in terms of the Heaviside function. Use h(t- a) for the Heaviside function shifted a units horizontally. f(t) = b. Find the Laplace transform F(s) = L{f(t)}. F(s) = L{f(t)} help (formulas) help (formulas)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. Implicit...
icon
Related questions
Question
Consider the function
f(t) = { sin(t
=
(sin(t - 4π)
if 0 < t < 4T
if 4 < t.
a. Use the graph of this function to write it in terms of the Heaviside function. Use h(t- a) for the Heaviside function shifted a
units horizontally.
f(t) =
b. Find the Laplace transform F(s) = L{f(t)}.
F(s) = L{f(t)}
help (formulas)
help (formulas)
Transcribed Image Text:Consider the function f(t) = { sin(t = (sin(t - 4π) if 0 < t < 4T if 4 < t. a. Use the graph of this function to write it in terms of the Heaviside function. Use h(t- a) for the Heaviside function shifted a units horizontally. f(t) = b. Find the Laplace transform F(s) = L{f(t)}. F(s) = L{f(t)} help (formulas) help (formulas)
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage