Laplace transform of (1 – e-Tt)2 is 2 2 1 s +7 2 s + 14 1 1 s+7 s+ 14 2 + s+7 3 1 1 14 1 1 s+7 s + 14

Q: 8z Compute the inverse z-transforms of z²-6z+25

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Q: The Laplace transform of L[eH sin h(3¢)] is_ 7. (a-7)2-32 3. (*- 7)ª - 37 3. (-7) - 7 (-3)a – 3a

A: We find Laplace transform

Q: Determine the Laplace transform of f (t) = 6e* +e* -9 O 16/s-5)] + [1/(s+3) - 19/s] O 16/(s+5)] +…

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Q: ansform of s+5

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Q: 2. (a) For n 2 0 write out the fint four terms of the sequence z(n) 3(-3)" and then use the…

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Q: бу"" + 5у" + у'%3D0 У (0) %3D — 2, у' (0)%3 2, у" (0) 3D 0

A: We have 6y'''+5y''+y'=0 with initial conditions y0=-2, y'0=2, y''0=0 Now, apply Laplace transform on…

Q: Find the laplace transform of the following. 1-) f(t) 3 3U(+) + = 2.) fl+] 3.) h(t) = + 8(+-2) +…

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Q: The Laplace transform of L2 sin 6t sin 3t] is S - s + (3)² s2 + (9)2 S 2s + (9)* s2 + (9)² s² + (3)²…

A: Solution by using trigonometric identities and Laplace transform table as follows :

Q: Obtain the Fourier expansin f I+ 9X în -3 LXLO 3 f(x) = %3D 3.

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Q: Compute only one the inverse z-transform of 02 a) X(z) = 5)X(z) = Q3 ROGIZ| >3- ROC Z > 3 %3D %3D…

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Q: Transform * y = 3sinh (3t) 3 s² +9 3 s² - 9 OA) O B) Transform * s² + 1 S³ + s OA) OB) 1 - sint 9 s²…

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Q: Determine the inverse Laplace 2s +3 transform of (s+4)

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Q: Find the Fourier transforms of below time domain signals. (6) 19(4) 2€ (b) イと -2

A: Note "As per our company guidelines we are supposed to answer ?️only first question. Kindly repost…

Q: Determine the Laplace transform o sin (8t + 붕). +64 -a +(a) #() +64 +64 O 43 #() 2+64 O 4v3 7+64…

A: We need to find Laplace transform of sin8t+116π Here we will us the following formulas-…

Q: 1 1 1 1 1 (z + 1)(z + 3) z +4 (z + 1)(z + 3) 1 1 2 z + 1 2 z + 3 3 1 1 1 2 z + 1 2 z +3' 1 1 1 1 +…

A: By using partial fraction method we solve the required problem as follows :

Q: Q4: Find the Z-transform of the following: -2k a) f(k) = 8(k) + 7k + ek + 32k , b) f(k) = 8(k) + +…

A: The Z transform of a sequence fk is written as Zfk=Fz=∑k=-∞∞fkz-k where z is a complex number and Z…

Q: Ans : Z 5) uck)

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Q: 2 6. The inverse Laplace transform of F(s) = is s+c a) 2e-c (t+b) u (t+b) b) 2e-c (t-b) u (t-b) c)…

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Q: Find the Laplace Transform of 10 + 5t +t- 4t

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Q: The Laplace transform of L[2 sin 5t sin 4t is s+ (1)2 s2 + (9)2. 2s s2 +(1)2 s2 + (9)2 s2 + (1)2 s2…

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Q: Solve for the inverse Laplace transform of st+3s"+s? 01+3t + 2t2 O 2+6t- O01+3t + t? O1+3t + 3.

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Q: Find the inverse Laplace transform of F (s) = 5s+2 %3D s² (s²–1) Of (t) = 5 – 2t - že' +e Of (t) =…

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Q: 4. Find the inverse z-transform of (z-a)(z-b)(z-c)

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Q: * The z-transform of a signal is given below,its final value z¯¹ (1 - z-4) x(z) = 0.25 (1-z-¹)² 10…

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Q: 7s-8 La transformada inversa de Laplace de es igual a: (s-2)(s+1) a) 7cos (2t) - 8sen (-t) b) 2e2t…

A: Given that  (7s-8)/((s-2)(s+1)) We have to find out the inverse Laplace of the function

Q: DETERMINE THE 2-TRANSFORM OF X(n)= x (n) = (1/2) "u (n+²) + 3^u (n-1)

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Q: Find Z-transform of k24

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