Q1: Find the Laplace transform of: a) L{cos 2t + et} b) L{5e¯† + cos 3t}. c) L{2 sin 3t-4e-4¹}.

Q: 3 Laplace Transform of (sin(2s))³

A: Given:

Q: Find Laplace transform of the function f(t) = cos(2t + 3)+e¬'u(t – 4) + tcosh²2t

A: Use the following formulas while calculating the Laplace transform of the given function.…

Q: 6. a) Find the Fouriér Transform of f(x) = 1-x² (x) 1), b) Evaluate, - I Cosx-sinx cosdx

A: We have to solve the given problem using Fourier transform.

Q: nsform of 20 sinc (10(t - 10)

A:

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 sine transform of e-[165]t/t

A: The Fourier sine transform is defined as                                  Fsfx = Fss = ∫0∞fx sinsx…

Q: dy for the following parametric equation: dx Calculate

A:

Q: Find Fourier transform for : A) f(t) = e-3t cos² (3t) B) f(t) = te tu(t - 3)

A: (A)Given f(t)=e−3tcos2⁡(3t).Now, we'll find the Fourier transforms for individual terms.The Fourier…

Q: b) Find the Fourier sine transform of f(x) = 12π, 0 < x < 6π

A: Fourier coefficients represent the amplitude of each harmonically-related sinusoid present in the…

Q: Q5) Find the Fourier transform of: SCos(nt/t) for lel < x(t)=D .elsewhere) Sketch X(f) versus f.On…

A:

Q: A)) Q1/ Find Fourier Sine Integral presentation of the function: f(x) = xe-* , x>0

A: The given function is: f(x)=xe-x ,      x&gt;0

Q: Find the Laplace transform of: f(t)=t^3 cos(5t)+ cos(2at) cos(3at) you mayuse trigonometric…

A:

Q: tan(2 – j5) j(2-j5) +7- jv2 In(-5) (320° – sin 20 + jln5)*

A:

Q: fex) Cos X ノ

A:

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

A:

Q: 2s +3 Find the Inverse Laplace Transform of (s+4)3

A:

Q: 2. Find Fourier sine and cosine transforms of e*.

A:

Q: Prove that the Fourier sine and cosine transforms are linear.

A: The proof that Fourier sine and cosine transforms are linear is shown below.

Q: A) Find and draw the Fourie if(t) = cosat.cosbt

A: