II. Using Derived formulas, find the Laplace Transforms of the following: 3. f(t) = 4 cos 3t - 5 sin 3t 4. f(t)= t³ sint 5. f(t)=sin²(t+7)

Q: Ex. Find the Laplace transform for the functions 1-f (t) = sin't %3D 2-f (t) =t°e"

A: We have to use Laplace standard transformations.

Q: Determine the laplace transform of the following functions: 1. sin?t cos²t

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

Q: Q3: Find Fourier sine Transform for f(1) = elsewhere Then use Parseval's theorem to evaluate - cosx…

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Q: Q1: A: Find the Laplace Transformer for the following function [8 sin²t cos²t] t L

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Q: HW: Find the z transform for sin (ak):

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Q: 7. Obtain the Fourier sine transform of the following functions: sin wx (c) x² +1' w > 0

A: The given problem is to find the Fourier sine transform of the given function, we have a general…

Q: . Determine the derivative of the following complex functions: f(z) = (z³ + 3z²)³at z = 2i b. Item…

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Q: Calculate for w-z sin(xy+).

A: The given function is w=zsinxy4+9z

Q: Apply the theorem of integration of transforms to find the Laplace transform of f(t). 7 sin 7t t…

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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: 3t cos(2t) tan (2t)+1 Find the Laplace Transforms of s²-a² (s2+a?)? Use: L tcos(at) =

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

Q: 2. Find each of the following transforms: (a) L[x² sin ax];

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Q: 3. Apply the change of scale property to find the Laplace Transforms of: sin(3t) 6 sint when, L- =…

A: The Laplace transform can be calculated using the transform table. The change of scale property can…

Q: J4 na * (L-X) Cos nx L x dx Hence using: Fourier cosine & Sine Functions

A: Here the integration is given by ∫0Lx2(L-x) cosnπxLdx Using Fourier cosine and sine functions, the…

Q: Calculate when t = dr given that = (t – sin t) y = (1– cos t)

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Q: 3. (a) Calculate the Laplace transform of each function. Explain your reasoning (i) cos(2t) sin(4t).

A: according to bartleby guide line we do only first part of multiple questions please re post other…

Q: Find | cos? (πt) sin (π ) dr

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

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Q: Using the tables write down the transforms of the following functions/ (v) 2 cos? t (vi) e-(eª +…

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Q: Using the table of standard transforms, find the Laplace transforms of the following functions: (i)…

A: Given functions:(i): (ii): We have to find the Laplace transforms of the given functions.