Get the function in algebraic form, state its representation in terms of the function unit step and obtain its Laplace transform (the function becomes f(t)=0 after t=4)

Q: Describe in your own words the method you would use to find the Laplace transform of the first…

A: The Laplace transform of function f(t) is given by Lft=∫0∞e-stft dt and is denoted by F(s). We can…

Q: 582 28s - 26 (s+2) (S-2) (5-2)

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Q: Find the Fourier Cosine Transform of the function 0026.png 2 e2.x + be3* f(x)= if x>0 ,6x fb = 10 .…

A: Given function is f(x)=e2x+be3xe6x2 if x>0we have to find the fourier cosin trasformation of this…

Q: Let F(w) be the Fourier transform of f(x) and G(w) be the Fourier transform of f(x + a). show that…

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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: Find the Fourier Cosine Transform of the function -mx f(x) = (ae-m +be¯¹x}³_if_x>0 if a = 5, b = 4,…

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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: Find the Laplace Transform for the function e-Nt sin² (Nt)

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Q: Find the transform of the function: g (t) = t3/2

A: The objective is to find Laplace Transformation of the function gt=t32

Q: sinh ot + cos ot

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Q: use the Laplace transform to solve the initial value problem.

A: It is required to solve the initial value problem using laplace transform:

Q: find the fourier transform of logx u(t)

A: Unit step function: u(t)=1t≥00t<0 Fourier transform of a function fx is  Fp=∫-∞∞fteiptdt…

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

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Q: Compute the Fourier transform of the following function: f(x) = e-a(r-x0)²+iqx (5) where a > 0 and q…

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Q: Kind the haplace transform of f(t)=78(t-½)Cost.

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Q: a5u Find the Fourier transform of

A: The Fourier transform of the function f(x) is represented as If(x), it is defined as…

Q: Solve the Laplace Transform f(x) = 2/x

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Q: Find Fourier transform for the following functions:x(t)=3+(sin2wt)2

A: Given function is, xt=3+sin2wt2.      ........1 Fourier transformation: Fourier transformation of…

Q: Find the inverse Laplac Transform of the following functions: 1 (i) s2+2s+1 s3 -s2+s–1 (iii) TD-2)…

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Q: Find the function f(x) that has Fourier transform (k) = (1+k4)-1.

A: Here we have to find out  .Now from definition of inverse fourier transform , to evaluate this…

Q: Find the inverse Laplace transform of each function: -4s a) F(s) = -5/2.

A: We find out the Laplace inverse transform .

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

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Q: npute the Fourier transform of 2e33rt/2sinc(t/3 – 4)

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Q: If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t) = -e3it f(t) may be…

A: Here, gt=-e3jtft

Q: Find the Laplace transform of f(t) = sinbt .

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Q: Find the convolution of f(t) = 3t and g(t) = sin (21). You can either calculate f * g directly, or…

A: In the given problem we have to find the convolution of two function f(t) and g(t) using the…

Q: F(@) = ? -1 f(t) 1

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Q: Determine the transform of the following functions using any methods. t2 sinh 3t

A: Given function is : t2sinh3t

Q: F(s) 8Bs - 7C (s + 3)(s - 4) (As − 1)

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Q: (b) f (x) = {sent, .if 0<t<n l0, if

A: We find Laplace transform of given function

Q: Find the Fourier Sine Transform of the function   if a = 7,  b = 7 , m = 5 , and n = 4. Then,…

A: The formula for the Fourier Sine Transform is :-  f^a=2π∫0∞fxsinaxdx   And we are given the function…

Q: * - 10x + 9x = 5t, x(0) = -1, x(0) = 2

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Q: Q2/ Find Fourier Transform the following function as in graph: (-1,0) (1,0) Pi

A: The given problem is to find the Fourier transform of the given function in the graph. We have to…

Q: Determine the Laplace Transform of the function and evaluate f(2i)

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Q: How do you write the Laplace transform of this translated Heaviside function?

A: Given - ft = 0x &lt; π1x ≥ π To find - Write the Laplace transform of given translated Heaviside…