The inverse Laplace Transform of the function f(t) is . Find the function f(t). O f(t)=0, if t<4 and f(t)-4, if t>4 O f(t)=0, if t<4 and f(t)-t^2, if t>4 O f(t)=0, if t<4 and f(t)-t-4, if t>4

Q: find the inverse Laplace transform of the given function by using the convolution theorem.…

A:

Q: find the inverse Laplace transform of the given function 14.F(s)=e−2ss2+s−2

A:

Q: determine the inverse Laplace transform of the given function.

A:

Q: 4. Find the inverse Laplace transform of the function G(s) : as + b s² + B² ' %3D

A: Find the Laplace inverse transform of the function: Gs=as+bs2+β2.

Q: find the inverse Laplace transform of the given function. 7.F(s)=1−2ss2+4s+5

A:

Q: Find the inverse Laplace transform of the function as + b H(s) = (s – a)2 + 32 °

A:

Q: The Laplace transform of f(t) = is 1

A:

Q: Find the Laplace transform F(s) of the function f(t) = e"6(t - 3) F(s) = e^(20)

A:

Q: Find the inverse Laplace transform of the given function. 7! F(s) = (s – 6)* c-'{F(s)} =

A:

Q: cos

A:

Q: C. Determine the Laplace transform of the following function f(x) = x2 1. f(x) = e", a E R 2.

A: Solved below

Q: determine the inverse Laplace transform of the given function.

A: Given: The function Divide s+2 by s2+9 separately.

Q: Find the Laplace Transform of the Heaviside Function. f (t) = { -; for 02 3e 2 3e 24 3e 25

A: We have to find the Laplace transformation of given heaviside function.

Q: Find the Laplace transform of the given function: f() — (t — 4)из() — (t — 3)и4(t), - where u.(t)…

A:

Q: Find the inverse Laplace transform L-{F(s)} of the function 2 F(s) : s2 + 3s – 4

A:

Q: F(s) s2 s-2 3. 5.

A:

Q: Find the Laplace Transform of the function f(t) = t2

A: It is known that ℒtn=n!sn+1.

Q: Find the inverse Laplace transform f(t)=L^(−1){F(s)} of the function…

A: Consider the provided function,

Q: f(t) = tg'(t)

A: The solution is given as

Q: find the inverse Laplace transform of the given function. 2.F(s)=4(s−1)3

A:

Q: b. F(s) = (s-5)5

A:

Q: Find the inverse Laplace transform of the following function 4 F (s) : (s – 1)3 %3D

A:

Q: Find the Laplace transform, F(s), of this function (5 points) f(t) = e-2t t cos 3t

A:

Q: 3) F(s)=- s(s+a

A: To solve this problem, we use the standered result of   inverse laplace transformation.

Q: find the inverse Laplace transform of the given function. 13.F(s)=3!(s−2)4

A:

Q: find the inverse Laplace transform of the given function 15.F(s)=2(s−1)e−2ss2−2s+2

A:

Q: 1 F(s) : (s-2)(s-4)(s-8)

A: Use the Laplace table.

Q: Find the inverse Laplace transform f(t) = L-' {F(s)} of the function 4s + 7 F(s) s2 + 36 4s + 7 1 {…

A:

Q: Find the Laplace transform of the given function: 0, f(1) = {«- 2°, 12 2 t< 2

A: Given ft=0t&lt;2t-25t≥2

Q: 1.5 f(t)=t e cosh4t

A: The Laplace transform of a function f (t) for the positive values of t is given by the integral: Lft…

Q: Find the inverse laplace transform of: F (s) = 2e-3s s(s+1) ° f (t) = (1 – eʻ-3) u (t + 3) ° f (t) =…

A: Given:   F(s) = 2e-3sss+1

Q: F(s) = (s-2)(s-4)(s-8)

A:

Q: The Laplace transform of f (t) = (t – 2) U(t – 1) is: F(s) = e2s (-) O This option F(s) = e -) This…

A:

Q: Find the Laplace transform of the following function f(t) = u(t-5)e-) cos 5t

A: First we will use the property of Laplace transform.

Q: (a) Find the Fourier Transform of the function: f(t) = e, for t>0 and a > 0.

A:

Q: The Laplace transform of the function f(t) = e3+*(2t - e3t)² is: %3D

A:

Q: determine the inverse Laplace transform of the given function.

A:

Q: Find the inverse Laplace transform of the function F(s)=s + 2/(s^2-8s+25)

A:

Q: -2s + e F(S) = 1- 2e (s² + 4) (s)

A: Solution is given in the form of hand-written note.

Q: Find the inverse Laplace transform of the given function. 21 F (s) = (s-2)

A: Given that                    F(s)=2!(s-2)3 We have to find the inverse Laplace transform of the…

Q: Find the inverse Laplace transform L-{F(s)} of the function 2 F(s) = s2 + 9s – 10

A: Note:- L-11s+a =e-a t ; s&gt;-a   Given function is Fs =2s2 +9s-10

Q: Find the Laplace Transform of the given function. f(t) = { 0, t&lt;2  (t - 2)2, t ≥ 2}

A:

Q: Find the Laplace transform of the given function. 1, 0 3 L{f(t)} s > 0.

A: Please check step 2 for the solution.!

Q: Find the Laplace transform of the given function: 0, f (1) = t 2

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: f(t) 1 4

A:

Q: Determine the Laplace transform of the function F(t) = t^l.5 exp{-2t}.

A:

Q: Find the Laplace Transform of the function f(t) = eat

A: We have to find the Laplace transform of the function f(t) = eat  we also know that  F(s)=ℒ{f(t)}

Q: Q1. Find the Laplace Transform of the following functions a) u(t) – u(t-3)

A: To find the Laplace transform of the below function. ut−ut−3

Q: Find the inverse Laplace transform of the function. 1 F(8) : s2 – 8s + 25

A: L-11s2-8s+25=L-11s-42+9=e4tL-11s2+9=e4t13sin3t

Q: Find the inverse Laplace transform of the function F(s)= (s- 4)e^-3s/(s^3 + 4s)

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.