3. (a) Express the following function in terms of Heaviside unit step function and hence, find the (1-1 Laplace transform of f(t) where fo-3-1 23. 2mt Sin (b) If f (t+T)=f(t), find the Laplace transform of f(t) where f() = T.

Q: Q1\ Find the Laplace transform for the following function: f(t) = - 24 t5/2 + t e3t sin (6t)

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Q: Compute the Laplace transform. Your answer should be a function of the variable s: s(πt)} = c{₁+ +…

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Q: Get the function in algebraic form, state its representation in terms of the function unit step and…

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Q: Q1/ Find the laplace transform for the following 1 - e-6t.sin(10t-8)

A: By using properties of Laplace transform we solve the given problem as follows :

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

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Q: (b) Given f(t) = sinh(-4t)U(t – Jand g(t) = sinh(-4t) * U(t – ) where U(t – a) is the unit step…

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Q: Find the Laplace Transform of the following functions: F(8)= F(s) = = F(s) = f(t) = 6e -6t +91² + 5t…

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Q: Use direct integration to find the Fourier transform G(f) of signal

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

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Q: Find the inverse Laplace transform C-{F(s)} of the function 8 F(s) (s – 5)³ NOTE: The answer shouid…

A: Given that, F(s)=8(s-5)3 The Inverse Laplace Transform of the function is determined as shown below.…

Q: f f(x) = ax2 + bx + c, what can you say about the value of a, b, and c if (1,-8) is a point on the…

A: f(x)=ax2+bx+cgiven:x=1,  f(1)=-8x=3,  f(3)=4x=0,  f(0)=-23x=0, f(0)=-23  f(0)=a×0+b×0+c⇒-23=c⇒c=-23…

Q: Q1) Find the Laplace transform of the following functions:- f (t) = t e-3t sin²t

A: Simplify the given function first in such a form that the formulas of Laplace transform can be…

Q: Q4. Apply Linearity property of Laplace Transform to find the Laplace Transform of x(t) = 5e-tu(-t)…

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Q: Assume that in a given year the National Basketball Association has 28 teams, which are split into…

A: The Orlando magic plays four games against each of the other four teams in the division. So, in the…

Q: ƒ (t)= 2te'

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Q: The Laplace Transform of

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

A: Use the Laplace table.

Q: 5 The inverse Laplace transform of F(s) = 5² - 2s+5 1 f(t) = 5e²¹ sin 2t f(t) = 5e¹ sin 2t 5 f(t) =…

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Q: Find the Laplace transform F(s) = L {f(t)} of the function f(t) = 3e-10t + 9t + 5et, defined for t >…

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Q: Find the Laplace transform of the given function; a and b are real constants. f(t) = e** sinh(bt)…

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Q: f(t) = e¯3t cos ( at + cos ( 2at + 3 2

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Q: Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) -¹ { £ + 720 } = S 86 f(t)…

A: we will use this formulae for finding th inverse laplace transformL-1{1s}=1L-1{1sn}=tn-1(n-1)! for…

Q: Q2) Use the Laplace transform tables in lecture notes to find the Laplace transform of each function…

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Q: Find the inverse Laplace transform L-{F(s)} of the function 6. F(s) = (s – 3)* NOTE: The answer…

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Q: Are you able to find all integers above and below a square root like the square root of 77?

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