Homework (3): Find the lapla ce transforms using properties 3 -3t e 1- Ans. (s +3)* 2- (1+2) e 4s -4s +2 Ans. (s-1)

Q: What are the coordinates of the image after the following transformation? Tェ=y (ABC)

A: for the reflection about x=y (x,y)→(y,x)

Q: x (t) 1 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13

A: We know that if a function f is periodic on [a,b] with period (b-a) then Fourier coefficients…

Q: Evaluate: L-1 [2s-9) ls²+2)

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Q: y = e√√²t sin√√2t √2 (s-√2)² + √2 A) √2 (s -√2)² + 2 √2 (s + 2)² + 2 B) 2 (s-√2)² + 2 9

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Q: The Inverse Fourier transform for e(2-6)i is 5-(3-w)t O 2H(t +2)e 10-(5–31)t OH(t+2)e 10+(5-31)t O…

A: We need to find the inverse Fourier transform of e2w-6i5-3-wi The inverse Fourier transform of 1wi+a…

Q: Find the Inverse Laplace Transform of each of the following: 42 1.) 9s-30 9s-8 2.) 82 +24s 3s-16 3.)…

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Q: . Using the tables and partial fractions, find the inverse Laplace transform of the following: 7s+5…

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Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

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Q: 21 (s+ √2) L¹ {- 4)

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Q: 553-65-3 ² 5°CS+1)

A: We have 5s3-6s-3s3s+12 Now, we simplify it using partial fraction decomposition:…

Q: Dear tutor, please help me in  inverse laplace transformation using only this table- formula  below,…

A: e) Given to find L-15s-42s2-3 Formulas using here L-1ss2-w2=coshwtL-1ws2-w2=sinhwt

Q: H-w Find the inverse transforms L (Fis) Fcs) s*(s) Fis) ) z 35+7 525-3

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Q: By using the Fourier transform table, find the Fourier transform for the follwoing function A2(3t)…

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Q: (b) Determine the Z-transforms of the following expressions 6n+5(n+1)-4(-8)" (i)

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Q: 1 F(@) =: 2 - w?+j3w

A: It is known that .  Use the formula below to compute the inverse Fourier transform.

Q: as³+bs²+cs+d F(s) = %3D (s+e)(s+f)(s+g)(s+h)(s+i)

A: Given,  Fs = as3 + bs2 + cs + ds+e (s+f) s+g s+h (s+i)…

Q: 1. Find the 2 transformations that occurred to map quadrilateral KLMN to quadrilateral K"L"M"N" in…

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Q: 3 Triangle ABC is to be reflected over the x-axis to form triangle A'B'C'. 21 B -6-5 -4 -3 4 5 -1 -3…

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Q: Given: [(4x + 3)²D² - 12(4x + 3)D +64]y = 16[(4x + 3)² sec² (In|4x +31)], transform it to z. A.…

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Q: 1 L 's2-8s+25-

A: Find L-11s2-8s+25 as follows First rewrite the expression 1s2-8s+25 as shown below.…

Q: Perform the following inverse transformations -3s + (s²+75 12 1) L¬1 s-5) (3s+17' 2) L-1 s2-7 (s+1)…

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Q: s2 -3s Find the inverse transforms of (s2+9)2

A: The inverse Laplace transform can be obtained using the Laplace transform table. The fraction can be…

Q: TL (s+ π)²· 2 L-¹ {

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Q: :) Find the inverse Fourier transform of F(w) : 3-4iw-w² [Hint: А В + x-b] (х-а)(х-b) х-а

A: solution given below..

Q: 1 F(@) = %3D 2 - w2+j3w

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Q: Convolution method: Find the function whose Fourier transform is 1 (4 + k2)(9 + k²)

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Q: Please show all solution with explanation. thanks

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Q: Find Z transform of cose (Use fundamental formula) Then Find Z transform of cosne

A: Hh

Q: Find the inverse transforms of the following: 3 Ans. 3e4t 1) S+ 4 8s Ans. 8 cos 4t 2) s² + 16 6 Ans.…

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Q: O Reflection, Rotation, Translation

A: Generally the transformation that the conserve the congruity is termed as the an Isometry .i.e also…

Q: Question 2 Question: Consider the following transformation function T: R' R Which one of the…

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Q: Example F(s) = find the inverse Fourier transform: 6(s + 10) (s + 5)(s+8)

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Q: Determine the inverse transforms of the following. 2s 6 (a) (c) (S-2) (S-4) (b) 5s-8 s(s - 4) $²25…

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