) Show that the image of the annulus {z: 1 // } W = Z²-1 is the domain { W: Rew > -1, \w - 1²/31/

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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A: U=exyax+sinxyay+cos2xzaz

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Q: dx - x³)². (1 – -

A: Solution: Let Then, singularities  of  f  are  given by…

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Q: Dy + y Prove that is equivalent to 1 for x 0. 16x

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Q: Find the Wronskian of a given set {yı, y2} of solutions of 7. (1 x2)y"-2xy' (a 1)y0, _

A: Consider the given equation.

Q: Evaluate by using definition Gamma Function 2

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Q: x 6. Differentiate: y = x² + 3x - 1 A. C. x²+1 x²+3x-1 -x²+1 (x²+3x-1)² 0 2x²+3 eldet 10-(x²+1) B.…

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Q: Let X have cdf Fx(x) = 1- (1+x)^-A, x,a > 0. Determine the pdf and cdf of Y = CX

A: Let X have cdf Fx(x) = 1- (1+x)^-A, x,a > 0

Q: Find the inde finite integrel. de 9- 16x"

A: NOTE: Refresh your page if you can't see any equations. . .............(1) substitute…

Q: Consider the functi on f(z) = 2 -a with lal >1 %3D 1- az Show that if 121 >1, the lf(Z)< 1

A: Given the function f(z)=z-a1-a¯z with |a|&gt;1.To prove that if |z|&gt;1, then |f(z)|&lt;1

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: Expand f(z) =1/z2 in power of z+1

A: The given problem is related with Taylor series expansion of a function. Given that,…

Q: 1- Selve the follocwing first - order differential equation:- dy (xy+2ど)= xy + y a Xeて

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Q: fCx)=(1+x)* at X=0 is LUX)=1+ KX + "७) %3

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Q: O. Determine the area of the regien bounted by y-sy-andy- mark)

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Q: 1 Assume that 1 < a < b_and equation is solvable. + x = Show that this * – b'

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Q: The psd of X(t) is given by [1+ @? for | @|<1 Sxx (@) otherwise Find the autocorrelation function.

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Q: 1 -dx x(x² + 1)

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Q: -5= =DS"S"?{(m-3)x²+³"(m - m x- ? y)'-4myx] dydx

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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,…

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Q: Suppose f(z) = u(x, y) is a real valued function on an open set U which we are viewing as a…

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Q: Suppose that f(z) = [1 − cos (z)]/[z*(z^4-1)*(z^2+9)^2] Find all isolated singular points of f(z),…

A: Pole:- if z0∈S-S' such that limz→z0fz does not exist finitely.but ∃ m∈ℕ such that limz→z0z-z0m·fz…

Q: √x X² 2x-1 dydx

A: The objective of the question is evaluate the double definite integral.

Q: Hnd the generalsolutm to y" f4y'+13y =O Ganerat Soluhon:

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Q: |2x – 4 lim x→2- 2 — х

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Q: a) Compute the quotient (22 + 2i) / (2 + 2i) b) Suppose z = (In 2) + i (pi/2). Compute e^z

A: " Since you have posted two questions, we will solve first question for you. To get another question…

Q: Find G′(w) if G(w)=3/8w^6+6^4*squareroot of w

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Q: d (n, m): = 0 si n = m si n‡m 5-c(n-m)

A: Question seems wrong