We have f(t) = { 0,              t < 0 2t,            0<= t < 1 3 - t,         1<= t < 2 1,             2<= t < 4 5-t,           4<= t < 5 0,             t >= 5 } Find the laplace transform F(s) of the function f.

Q: Find the Laplace transform of (te-2cost)

A: Use property of Laplace transform

Q: In a simple physical apparatus, the distance x cm and y cm are connected by the relation 1.1 1…

A: Distance x cm and y cm are connected by the relation 1x+1y=19 ....(1) x is increasing at the rate of…

Q: f(x)= 2+ Show that fe L²(R) and find the L²-norm of the Fourier transform of

A: Answer given below.

Q: 7s2–41s+84 Determine the inverse Laplace transform L{s-1)(s²–4s+13) † · -1s

A:

Q: o f(6)=} slt-2) t4 8Ct-3) %3D 1]

A: As per bartleby guidelines we only give first question answers.

Q: How is the Laplace Transform defined? What is its notation?

A: Laplace transform of the function f(t) is defined by   ∫0∞f(t)e-stdt