Find the modified z-transform of the following functions: (a) E(s) = 6/ (s + 1)(s +...

Find the modified z-transform of the following functions: (a) E(s) = 6/ (s + 1)(s + 2)(s + 3)

Expert Solution

Manojponduru answered 2 years ago

Find the Laplace transform of the following functions. (a) f (t) = { 6 0 < ...

Find the Laplace transform of the following functions. (a) f (t) = { 6 0 < t ≤ 4 8 t ≥ 4 (b) f (t) = { t2 0 ≤ t < 3 0 t ≥ 3 (c) f (t) = { 0 0 ≤ t < π/4 cos[7(t − π/4)] t ≥ π/4

1. Find the Laplace transform of each of the following functions: (a). f(t) = t ,...

1. Find the Laplace transform of each of the following functions: (a). f(t) = t , (b). f(t) = t2 , (c) f(t) = tn where n is a positive integer Laplace transform of the given function 2. . f(t) = sin bt 3. f(t) = eat sin bt

Find the Laplace transform of the following functions: a. p(t) = 6[u(t − 2) − u(t...

Find the Laplace transform of the following functions: a. p(t) = 6[u(t − 2) − u(t − 4)] b. g(t) = (4 + 3e−2t)u(t) c. h(t) = 2r(t) − 2r(t − 2)

Find the inverse Laplace transform for 1 / ((s^2+1)(s+1))

Find the Laplace Transform of the functions t , 0 ≤ t < 1 (a) f(x)...

Find the Laplace Transform of the functions t , 0 ≤ t < 1 (a) f(x) = 2 − t , 1 ≤ t < 2 0 , t ≥ 2 (b) f(t) = 12 + 2 cos(5t) + t cos(5t) (c) f(t) = t 2 e 2t + t 2 sin(2t)

Find the inverse Laplace transform of a. F(s) = se-6s/(s-2)(s2+2s+1) b. F(s) = e-12s/s3(s2+4)

Q1-Find all possible time domain signals corresponding to the following z-transform: X(z) = (z3 + z2...

Q1-Find all possible time domain signals corresponding to the following z-transform: X(z) = (z3 + z2 + 3/2 z + 1/2 ) / (z3 + 3/2 z2 + 1/2 z) Q2-A digital linear time invariant filter has the following transfer function: H(z) = (5 + 5z-1) / (1 - 3/8 z-1 + 1/16 z-2) a) Find the impulse response if the filter is causal.

QUESTION 6. Z is a standard normal variable. Find the value of Z in the following....

QUESTION 6. Z is a standard normal variable. Find the value of Z in the following. (12 points) 2 Points each a. The area to the left of Z is 0.8554 b. The area to the right of Z is 0.1112. c. The area to the left of -Z is 0.0681. d. The area to the right of -Z is 0.9803. e. The area between 0 and Z is 0.4678. f. The area between -Z and Z is 0.754.

For each of the following functions, find the extreme value of z (this can be either...

For each of the following functions, find the extreme value of z (this can be either max or min), subject to a given constraint by the method of direct substitution. (a) z = xy, subject to the constraint x2 + y2 = 16 (Note that there are four solutions.) (b) z = 3x2 − 10xy + 12y2 , subject to the constraint y = 20 − 1/2 x (c) z = xy, subject to the constraint x − y =...

1) Find the Laplace transform of f(t)=−(2u(t−3)+4u(t−5)+u(t−8)) F(s)= 2) Find the Laplace transform of f(t)=−3+u(t−2)⋅(t+6) F(s)=...

1) Find the Laplace transform of f(t)=−(2u(t−3)+4u(t−5)+u(t−8)) F(s)= 2) Find the Laplace transform of f(t)=−3+u(t−2)⋅(t+6) F(s)= 3) Find the Laplace transform of f(t)=u(t−6)⋅t^2 F(s)=

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