5. (5 points) Compute the inverse Laplace transform of 5s – 12 F(s) = s3 – 7s2 + 12s using partial fraction decomposition.

Q: Sketch the graph of the parametric equations x = sint, y = 2 cos(3t), π ≤ t ≤ 27. Clearly label the…

A: We are to sketch the graph of the parametric equationsx = sint, y = 2 cos(3t), π < t < 2π.…

Q: f(t) = te3t cosh 4t s²-6s+7 s2-6s-7 А. (s2-6s+25)2 С. C. (s2-6s-25)2 s2-6s+25 В. (s2-6s-7)2 s2…

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Q: Q2\ answer the following: z2+2z+1 A\ find inverse z transform by partial fractions x(z)- z?+z+

A: We want to find f(z) /z

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: Determine the inverse z-transform of X (2) : r (n] is noncausal (1-=1)(1-3-1+3=)’

A: Given that, Xz=1-z-11-13z-11-73z-1+23z-2 x[n] is noncausal.

Q: 5s+3 6s 8 F(s) - (5s2+4s+1) s2+7 9.

A: The laplace transform formulas for e^(at)cos(bt) and e^(at)sin(bt) will be used in solving this…

Q: c) By using Convolution Theorem, find the inverse transform of UTM F(s) = (s – 1)(s² + 1)*

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Q: 1) x(t) = 1(t- 47T)

A: Solution 1: Given function is x(t)=1(t-4T)           (1) Let the z-transform of x(t) is X(z)…

Q: ) Compute the Fourier transform of the function. (a) f(x) = h(x + 1) – 2h(x) + h(x - 1), where 1, if…

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Q: Compute the inverse Laplace transform of 5s – 12 - F(s) = s3 – 7s2 + 12s

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Q: Solve: 2 0 -1 0 2 -6 1 -2 -3 -2 0 1 -5

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Q: 3906250000 G(s) s2+6250s+3906250000

A: This is a problem of Laplace transform.

Q: 6. Given a Z transform 2-1 X (z) (1-z-¹) (11.4z¹+0.482-2)' determine the initial and final values of…

A: Given: Xz=z-11-z-11-1.4z-1+0.48z-2To find: a) xkk=0 and xkk=∞              b) Inverse Z-transform,…

Q: 3s² +5s+5 F(s) = (s3+8s²+19s+12)(s³)

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Q: Use the partial fraction method to determine the inverse z-transform for z/p 8z + 16 F(z) P=2 6-) (z…

A: Given that, Fz=zp1p-1pzz-2p+8z+16zz-2-1p=2

Q: (c) Find the inverse z-transform of Y(z) : (z-1)(z+3) * [Hint: Express Y/z in partial fractions]

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Q: Use the partial fraction method to determine the inverse z-transform for

A: Given: The method is, Fz=zp1p-1pz z-2p +8z+16zz-2-1 ........1 And,  p=2.

Q: Find the laplace transform of f(t) = 2t¹ - 3e³t + 10 cos 2t

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Q: f(s) = 2620 (3+261² (5+2)²³ Using laPlace Transform method f(t)=?

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

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Q: pply the theorem L(f* g) = L(f)L(g) to find the inverse Laplace transform; also do it in mother way…

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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: Q2\ answer the following: z2+2z+1 A\ find inverse z transform by partial fractions x(z)- z?+z+

A: Solution

Q: f(t) = te3t cosh 4t s2-6s-7 А. (s2-6s+25)2 s2-6s+7 С. (s2-6s-25)2 s2-6s+25 3. (s2-6s-7)2 s2-6s-25 D.…

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Q: (a) L-1 .(s+2)²(s-2). 1 (b) L- (s+1)(s²+1).

A: Given The given inverse Laplace transforms are a L-1ss+22s-2 b L-11s+1s2+1 Apply formula…