Give the Laplace transform of the solution to a) (s)-- (+2) (-4). 25 (3+2)(²+25) b) (³) (-2) (5-4) 4 25 002) (2+2) (5-4) (5+2) (3² +25) + 372 25 25 (5-2)(²+25) d) 0 :)-3-43²+25 --3 e) (²)-5-4-21253-² DO None of the above. ly+2y-4-5mm(5x). (0)--3]

Q: Find the transform of the function below. j(t) = 3sinh(2t)+3sin(2t) A 6/(s^2 - 4) + 6/(s^2 - 4) в…

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Q: Find the inverse Z-Transform for X(Z) shown below for ROC 1- 03 22 – 4z X(Z) = (z – 1)(2² – 5z + 6)…

A: Given, Xz=z2-4zz-1z2-5z+6X(z)=zz-4z-1z2-2z-3z+6Xzz=z-4z-1zz-2-3z-2Xzz=z-4z-1z-2z-3…

Q: (s) = (1-3s) / (s^2+8s+21) A [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] + [3*cos(sqrt(5)t)*e^ B…

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Q: Find the fourier transform of the following. functions by making use of Jordan's Lemma. a) 1 (x² +…

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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: (d) (27+5)(2- i)|=/3 12z +5|. %3D

A: Solution D: We have to prove (2z¯+5)(2-i)=3(2z+5) L.H.S. Let z=x+iy So z¯=x-iy therefore…

Q: Consider the folewing. (A computer algebra system s recommended) () Sketch the gaph of the given…

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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: Obtain Z-transform of ( G) -e-Ts S \s+1

A: Consider the given function: X(s)=1-e-Tss1s+1=1-e-Tss(s+1)

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: Q8) Assume that the roots of a characteristic polynomial of a homogeneous ODE with constant…

A: Given: Roots of the characteristic equation of a homogeneous ODE with constant coefficients are…

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: A 14) E (2+¹)= (a) {Σ##s (n + 1) (c) a and b a b O C do 15) For the Chebeshev polynomial of the…

A: We will use properties of combinatorial series

Q: Th nction f(2) = (2z3 + 8z) (z – 2i)(z + 5i)2 has a pole at z = -5i. :Select one True False

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Q: Find the orthogonal trajection of the family of y=ax

A: In mathematics an orthogonal trajectory is a curve, which intersects any curve of a given pencil of…

Q: 3)If X(z)= 2²-0-5z z²+0-75z+ b) X(n) = [4"-3"]u(n) c)) X(n) = [4¹-3"]u(n) . † 4) If X(2)(z-30)(2-40)…

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Q: Find L{(t-1) (2 – 5 sin 3t)} O 2 s2 2 5s 30s - s2+9 (s² –9)² 2 2 82 15 30s s2+9 (s2 +9)² 2 _ 2 15 15…

A: We need to find the value of L{t-12-5sin3t} Formula to be used L{tkft}=(-1)kdkdsk(Lft), L{t}=1s2,…

Q: Obtain the inverse Fourier transform of sen(4(w+2)) (w+2)(3-((w+2)) F(w) =

A: The given function is Simplify the expressions using partial fractionsMultiply both sides of the…

Q: 4) For Bernstein polynomial, B₁ (f; x) = Σk=o (k) x* (1 − x)"-kƒ (), we have B₁ (2t² + 1;x) = 2x² +…

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Q: 10. Subtract 2- V- 64x²y* from – 3– xy-9y' and express the result in a + bi form

A: Answer and explanation is given below

Q: Find Z-transform and ROC f x(n) = {1,2,−1,2,−1}

A: Given that: xn=1,2,-1,2,-1 The objective is to determine Z-transform and ROC. Let consider,…

Q: 5) Find the Inverse Transform of the Partial Fraction: 5s C-¹ ( 258,+12) L-1 s

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Q: If the Z-Transform of x(k) is X(z) = (z + 1)/ (z - 2)2 %3D What's the Z-Transform of k x(k) ? (z³ +…

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Q: Find the inverse Fourier transform of 27 + 8(w). (a) 1+ 8(t) (b) + 8(t) (c) + 27 8(t) (d) 1+2 8(t)

A: Option (c) is correct.

Q: 2 2 Express ( (√² - 3/1₁) ³i) ² 3 simplest a + bi form. in

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Q: find z- -4 * transform for x (n) = { 2 1 2 3} x(2) = 22 + z' + 2 + 3z x(2) = 2 + z+ 2-2+ 3z %3D خيار…

A: Let's find.

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A: The Back shift operator is denoted as B and is defined asByt=yt-1 If yt shifts data to two back…

Q: find the fourier transform of the following function EXFAEN ISTER xxx H 2 * (t) = cos³ wot 5 x (t) =…

A: To find the Fourier transform for the following functions xt = cos2ω0t xt=πt-32 The Fourier…

Q: Find the equation in red in the same way as the equation in the second picture(I need same by…

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Q: The square root of (1 2i) is (1) V5 (cos (+ 2n)+ i sin (5 + 2n")) for n = 0,1 COS (2) V5 (cos (+ 2)…

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1.…