point) The graph of f(t) is given above Express f (t) in terms of shifted unit step functions u(t ~ a) Now find the Laplace transform F(s) of f(t) F(s)
Added by Heather M.
Close
Step 1
Express f(t) in terms of shifted unit step functions u(t ~ a): From the graph, we can see that f(t) is equal to 0 for t < 0, and for t ≥ 0, it is equal to 2u(t) - u(t - 2) - u(t - 4) + u(t - 5). Therefore, we can express f(t) as: f(t) = 2u(t) - u(t - 2) - u(t - Show more…
Show all steps
Your feedback will help us improve your experience
Joseph David and 94 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the Laplace transform of the periodic function f(t) whose graph is given below: F(s) = L {f(t)}
Adi S.
Find the Laplace transform of the periodic function f(t) whose graph is given below. F(s) = L {f(t)} help (formulas)
Avinash V.
Let f(t) be the function graphed below. Hint: the middle portion is a shifted 2^t graph. Find the Laplace transform, F(s) of f(t) F(s) =
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD