Q3 Sketch the following functions and find the Laplace transforms (a) 0 ≤t <1 1≤t <2 t≥2 (b) f(t)= t, 0, t-1, f(t)=3-t, 0, 0 ≤t <1 1≤t<2. 2 ≤t <3 t≥ 3

Q: t* t1

A:

Q: f(t) = SO if 0 c where c> 0.

A: We have to solve given problem:

Q: Find the Fourier transform of S (x) =!-\,| sin x dx Hence evaluate

A: Given,    f(x)= 1-x, x≤10        , x&gt;1

Q: L[2t2 + 5 – 3 cos nt), t > 0

A: We use the Linearity property and table of Laplace transform to find the answer of the given…

Q: Quest The moment generating function of X is given by Mx() = exp(2e - 2} and that of Y by Myt) = (e…

A:

Q: F(x, y, z) = yzeX²i + e×zj + xyexZk, C: r(t) = (t2 + 1)i + (t² – 1)j + (t² – 4t)k, %3D 0 <t< 4 (a)…

A: Given,

Q: f (t)%3 3e ' cosh ( In 2r)

A:

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: Q3: Find the following Fourier Transform using properties only: F{e=2t+6+j2(t=3)u(t – 3)}

A:

Q: Explain how is BEDMAS used and its right order.

A: The right order of BEDMAS is described below.

Q: Find the inverse Laplace transform of F(s)= -7s 4s +7 (s - 4) – 21 (s+1)(2s + 3)(3s +5)

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: f(t) = when 0 k

A:

Q: The Fourier transform of the function f(t) = 2e-2t cosh 2t u(t)is: 2 4 A- πδ (ω) B- πδ(ω )+ j2w+w?’…

A: We have to use formula for Fourier Transform.

Q: (Exercise 23 on page 225) Find the inverse Laplace transform of the function using the Heaviside…

A:

Q: Given 30<t ₹2 10 elsewhere find Fw), the Fourier transform of ƒ(t). Compute the values of F(0), F(1)…

A:

Q: 4. Determine the Fourier transform of the given function: 1 (t) = {2t - t, 2t - 1, 0 < t < 1 0<t<2…

A:

Q: Determine The Fourier transform of the following function (2 |t| t/2 f(t) =

A: Fourier transformation of the function f(t): Fourier transformation of the function f(t) is given…

Q: Find the inverse Laplace transform of 7s + 3 82 + 17 8 >0

A:

Q: Q3 Find Laplace transform of the function f(1) =t sin(@t)

A:

Q: Laplace transform of ramp function f(t)-DAt is

A: Given f(t)=At

Q: when 0 k

A:

Q: Write down the qualitative form of the inverse Laplace transform of the followir functions. For each…

A: The given equation of  Laplace transformation is: Poles are the zeros of the denominator the…

Q: Q1) Laplace transform of function f(t) = t² where t 2 0 is ....... a) b)금 d) 115 11 1

A:

Q: Find the amount of money owed at the end of 5 years if $60,000 is borrowed at 7% per year compounded…

A: Here we have to find amount of money at the end of 5 years if money borrowed is $60, 000 at 7% rate…

Q: 2-find the laplac transform for the function: t² (u-1)

A: Introduction: Laplace transform is named in honour of the great French mathematician, Pierre Simon…

Q: Evaluate L{t sin kt} (Use the Derivatives of Transform)

A:

Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = 8th(t - 7), defined on the interval…

A:

Q: (t², 0st<2 Find the Laplace transform of F(t) - 5, t2 2

A: