Question #1. Express the following as a partial fractions and hence find the inverse Laplace transform 5s + 2 (s+1)(s+2)

Q: Q4/ Find the inverse of Z-transform if 2(z2+z) x(z) =7-1,5z+0,5

A:

Q: (a) For n20 write out the first four terms of the sequence a(n) =(-3)" and then use the definition…

A: Given that, xn=-3n

Q: The following shows the process of determining the inverse Laplace transform of s² +9s+2 Please fill…

A: Let,        (s2 + 9s + 2)/{(s - 1)2 (s + 3)} = A/(s - 1) + B/(s - 1)2 + C/(s + 3)      => s2 + 9s…

Q: -* is -. р Show that the finite sine transform of 1 . TC

A:

Q: 5- Which of the following is the inverse Laplace transform of the function X (s) = s+ 4s +8 -2t cost…

A:

Q: Determine inverse z-transform of the following equations: Z 2² a. b. (2-2)² (2-1)(z-0.5)

A:

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

A: Solution

Q: Find z-transfrm for (n-1) X(n) u(n-1) x (n) 5nucn) - 2 n (o.3) uci) 2)

A:

Q: a- Obtain the inverse z-transform of the function 100z F(z)= (2+1)(x+2)(2+3) using partial fraction…

A:

Q: Find the Laplace transform of 6e'cos2t - e 6(8– 5) (8 - 5)2+4 8-7 6s В (8 – 5) 2+4 S- 7 s2+4 s-7 (s…

A:

Q: 2s + 2 s(s+1)(s+4) 2s +5 (s +1 −j)(s+1+j)

A:

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

A:

Q: z-transform of the sequence x(n) : =3u(n) is 3z/(z-1) O (z-1)/30 z/(z-3) O

A: We find Z-transform of x(n)=3u(n)

Q: Find the Laplace transform of t2 sin(3t) 18s-54 (s2+9)² 18s2-54 (s249) 30s2-54 (s2+9) 1252-54 (s2+9)

A:

Q: Find the Fourier transform of 8(t+2) + 8(t – 2).

A:

Q: Find the given inverse transform (1) c{ (i) L-1 s2 + 6s + 1 1 1 (ii) L-1 |(s – 1)3 ™ s² + 2s – 8

A: The Laplace transform of a function f(t) is defined as Lf(t)=∫0∞e-stf(t)dt. If F(s) is the Laplace…

Q: Question 6 Prior to running the Boston Marathon, a runner's personal best pace for a race is 10…

A: Given that Prior to running the Boston Marathon, a runner’s personal best pace for a race is 10…

Q: Find the function with the transform 10 1 - e-4s – 4se- â(s) = 1- e-10s

A:

Q: 3. Find 4 {0 21 jucosudu } using the properties of Laplace transform.

A:

Q: Q3/ find the inverse Z transform for the following 8z (2z-1)(4z - 1)

A: In this question the denominator is    (2z-1)(4z-1) =8z2 - 6z + 1   So the question can be done as…

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

A:

Q: in terms of unit step functions; e function and sketch its graph. なの。 s2 + 7²/4 S- (b) G(s) = %3D s2…

A: 3(b) given Gs=2πs2+π24e-s-2πs2+π24e-5s we will  use the following property 1) L-1Fs=Ft2)…

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: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A:

Q: Suppose solving an equation by Laplace transform results in 4 (s+ 18) Y (s) : %3D (s+9)² * Evaluate…

A: Laplace transform of the function y(t) is defined as Y(s)=∫0∞e-sty(t)dt, where s>0. Since the…

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: Q3: a) Find the Z-transform for f(k) = k ek a

A:

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…

Q: Obtain Z-transform for the Followings X(t)=1(t+4T)

A:

Q: The inverse Laplace transform 1. Select one: True False 2s +49 s²+49 }} =2cos(7t) +7sin(7t). *{ 2s…

A: