Find the Inverse Laplace Transform of the equation: [6/(s+4)]+{(s-3)/[(s^2-6s+34)]} Simplify answer. No space.

Q: Find the sine transform of 1 and deduce that et - eT TLX F, (cosech Tx)= 1 tanh (p/2).

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Q: Use the Cauchy Integral Formula for Derivatives to compute

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Q: What is harmonic, or Fourier analysis

A: Definition of harmonics "The term harmonic comes from acoustics. It refers to the vibration of a…

Q: Write down Fourier Transform for the following non periodic function.

A: In this question, we have to write the Fourier transform of the non-periodic function. The function…

Q: Differentiate. cosx² + siny³ = 36 %3D

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Q: Find the value of integrat

A: Given: ∫12exxdx

Q: Illustrate Divergence in three Dimensions?

A: Divergent vector field. Three-dimensional vector field used to illustrate fluid flow with positive…

Q: Which two of the hyperbolic integration formulas differ from their trigonometric counterparts by a…

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Q: Differentiate y = arcsin (2r2) 4.r VI+ 4r4 Option 1 None of these VI- 44 Option 2 Option 3 4.

A: As we know that; The chain rule; fgx'=f'gx·g'x The Power Law; ddxxn=nxn-1 And ddxarcsin(x)=11-x2…

Q: What is Properties of fourier transform

A: Properties are:-  1.Linearity 2. Time shifting  3. Congugation 4. Area under x(t) 5.Area under x(jw)…

Q: Verify the statement by showing that the derivative of the right side equals the integrand on the…

A: We write the expression using exponent and then integrate C=integrating constant

Q: Find out a real-life problem, which can be solved using the Fourier Transform Techniques. Also, give…

A: A Fourier series is a way of representing a periodic function as a (possibly infinite) sum of sine…

Q: Find Fourier transform for f(t) using differentiation property x(t) -2 3.

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Q: Construct an example of an non-homogeneous ODE that cannot be solved using method of undetermined…

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Q: Define the derivative of a laplace transform

A: Laplace transform of the derivative is given by

Q: what is the implicit differentiation of: ysin2x=xcos2y

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Q: Find the derivative of In(3t3— 2t + 1) and then calculate  ∫ (9t2-2/3t3-2t+1) + 3 dt (use…

A: Given         ln(3t3-2t+1)

Q: 2.) у" - Зу' — 2у %3D0 У (0) %3D0, у'(0) %3D 9 ,у" %3D0

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Q: Calculate the 2D-DFT of the following image. 10 0 1 Table 1: A Digital Image.

A: Solution: Given that N=2 fx,y y=0 y=1 x=0 1 0 x=1 0 1 Now,

Q: Use Fourier cosine transform to solve y" – y = 3e-4 y' (0) = 0 lim y (x) = 0, as x → o0

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Q: find Fourier coefficients

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Q: a) S dt

A: To evaluate the integral , ∫lnttdt Solution: The given integral is ∫lnttdt Using by parts in the…

Q: omplex derivative of (Log z)^3

A: Given: log z3 To find: The complex derivative of given function.

Q: 000 Find the solution of heat equation by Fourier sine/cosine transform, if initial temperature is…

A: Here we use separation of variables. Means we assume that  ......(i)  be a solution of the given…

Q: Find the Laplace transform of tant. Show your full Solution.

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Q: find the fourier series for the half-Period sine of the function fx) = sinx inthe period 8. xx Then…

A: Given that, f(x)=sinx in the period 0<x<π. ∫n=1∞1(2n-1)2(2n-1)2. The objective is to evaluate…

Q: Integrate with respect to x, the square root of (1-cos5x)/2

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Q: Find Fourier transfarm f x #1= cos aut ut

A: Given the x(t)

Q: By integration find the Fourier transform of Ax)=2r+1 _if þx|<1_and fx)=0 otherwise.

A: According to our company policy, I am supposed to answer only one question at a time. For the rest…

Q: Solve for Fourier coefficient, f (x) = Ssin x 02x2n T >x 22n

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Q: Give Definition about Fourier Transform inverse?

A: To define- The  Fourier Transform inverse. Answer- The Fourier transform is used to convert the…

Q: Find the general solution of the ODE.

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Q: f(x) = (sinx if 0 π

A: This is a question of Fourier Analysis.

Q: fer) sen ax %3D

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Q: Find the Fourier cosine and sine integral representation

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Q: ) Find the functic fith order derivative of fcx) = sin (2x+1) by using Leibnitz th

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Q: 10. у%3D V2x+1

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Q: times the Fourier transform of f(x) provided that the first (n – 1) derivatives of f(x) vanish as…

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Q: 1. gx-) = - โ -เ sin 2x X< L2x

A: Given: gx-π=0x&lt;π12sin2xx≥π To find: Solution

Q: Prove the following continuous time Fourier transform relationship. sin(at) 1 X(N) = Continuous Time…

A: Fourier inverse of XΩ=1    -π≤Ω≤π0    otherwise is : F-1XΩ=12π∫-∞∞XΩejΩtdΩ…

Q: Show complete and orderly solutions. Simplify all final answers whenever possible. Using…

A: L(Cosh at).

Q: 34 sin 2t dt 2.

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: What is the substitute of the expression (9+x)/2 if [ dx -is transform by trigo substitution…

A: In the question we have to find substitution for given integral value.

Q: Explain in your words how the Laplace transform is applied to solve a system of linear deferential…

A: The Laplace transform is an integral transform. The Laplace transform is mostly useful in solving…

Q: 6) csch-1x = In Vx2+1 (+ sinh-11 %3D |x|

A: 6. First  we will find relation between csch-1x and sinh-11x. From Hyperbolic trigonometric…

Q: 3) Use haplace transform to solve y"+sy't by

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