Sketch the following functions and find their Laplace Transforms: 1.) (t – 1)u(t – 1)

Q: Let f(t) = e^t if 0=1   Write f(t) using step function and find the laplace transform. Also,…

A: We have to write f(t) using step function and find the laplace transform. Also, draw the graph.

Q: Sketch the graph of the function below and determine its Laplace transform. u(t - 5) - u(t - 10)

A: We have to find Laplace transform of given function and sketch the graph:

Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 5…

A: Here we have to find out f(t) using inverse Laplace transform.

Q: a. Determine the formula for the Laplace transform. et sin 5t-t³ + e 2t) = (Type an expression using…

A:

Q: (d) 2 s² +9 (e) s²-1 (s² + 1)² (f) 1 (s −2)² - 4

A: The given Laplace functions,(d) (e) (f) .The aim is to find the inverse Laplace transform for each…

Q: nd the Laplace Transform of f(t) = t³ if 1<t< 2 , and f(t) = 0 otherwise.

A:

Q: How does one find the inverse Laplace transform for the arccot(1/s)?

A: Let,

Q: Find ℒ{sin(at)}. For what values of s is this transform defined?

A:

Q: Question 4: Compute the Laplace Transform of tert. Question 5: Compute the Laplace Transform of…

A: Ft=tert