Let X T Be A Signal That Has A Rational Laplace Transform With Exactly Two Poles

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Let x(t) be a signal that has a rational Laplace transform with exactly two poles, located at s = -1 and s = -3. If g(t) = e2t x(t) and G (jw) [ the Fourier transform of g(t)] converges, determine whether x(t) is left sided, right sided, or two sided?

 
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Let X U K 1 K I For Any N E N Prove That I X 1 Z By Lling Out The Gaps In The 15

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Please help with the attached question. Don’t have to rewrite the question, it’s just fill the blanks

Let X,, = U {k —;1;,k+ i) for any n E N. Prove that I] X,1 = Z by filling out the gaps in the#152 116"argument below. Proof. For any n E N and 1′ E R we have _< :1: <_. In particular, if :1: E Z, then :r E __ forany n E N as _. Therefore, E C X,1 for any n E N. As a result, _. We want to show that n X“ C Z. From the equivalence of the “if-then” statement and itsnEN contrapositive, it is enough to show that _. Notice that n Xn C IR as for all k E Z and allHEN n E N we have _. Therefore, we want to show that if 1: E_, then _. Assume r E_. Then,choose k E E such that k < r < k + 1. In particular, a.“ — k_ and (k +1)— :t_, so we canchoose or E N such that _ and _ because _. As a result, a >_ and a: <_. Therefore, 1: 5-3 _. So, :2: ¢_. Since _ and _, we have _. III

 
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Let X X U V U V2 And Y Y U V U2 V4

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5. Let x = x(u, v) = u + v2, and y = y(u, v) = u2 + v4.(a). Find out where the Jacobian of the transformation equals 0, and find the chambers in the u-v plane where the Jacobian is positive and the chambers where it is negative.(b). Find the curves in the x-y plane that correspond to the rays in the u-v plane where the Jacobian equals 0. (One of the curves is only half a curve!)(c). As you go counterclockwise about the origin in the u-v plane, describe the correspondingmotion in the x-y plane, using your answer to part (a).

 
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Let X Y Be Compact Metric Spaces And Consider The Metric Space X X Y Equipped Wi

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Please help me prove the following about sequences of continuous functions

Let X, Y be compact metric spaces and consider the metric space X x Y equippedwith the metric d((x1, y1), (x2, y2)) = dx(x1, 72) + dy (y1, y2). Prove that for everyf EC(X xY) and every e > 0, there exist functions gi, . . . On E C(X) and hi, . .. hn EC(Y) such thatnIf (x, y) -gi (x )hi(y) <e for all x EX, yEY.j=1

 
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Let X Y Be Positive Integers Such That Gcd X Y 1 Prove There Is An Integer K Suc

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Let x, y be positive integers such that gcd(x, y) = 1.

Prove there is an integer K such that every integer n ≥ K can be written as n = xa + yb where a, b ∈ Z are nonnegative. 

Thank you very much for answering this question!

 
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Let X Y Be Two Independent Random Variables With X N Emp And Y N Erp N Let 1 Z X

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Thats a practice test question. i need help please. thanks

Let X, Y be two independent random variables with X N empfl) and Y N erp(n). Let 1;} Z=X Z=mm(X,Y), W={U if 221’ a) Find the pmf for W (P(W = 0) and P(W =1)) b) Find the edf of Z, i.e. P(Z g z)|.

 
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Let X Y Be Two Random Variables With The Following Properties Y 3y 2 For 0 Y 1 A

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(y) = 3y^ 2 for 0 < y < 1 and zerlsewhere. For 0 < y < 1, given Y = y, X had f X|Y (x | y) =( 2x/ y^2) for 0 < x < y and elsewhere.

(a) Find the joint density function Y Be precise about where the values (x, y) are non-zero. Check that the joint density function integrates 1.

(b) Find the conditional density function of Y given X = x. 

 
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Let X Y Z Where Y And Z Are Nonnegative Random Variables Such That Yz 0 A Show T

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Let X = Y-Z where Y and Z are nonnegative random variables such that YZ = 0(a) show that Cov(Y,Z) <=0(b) show that var(X)=> var(Y) + var(Z)(c) Use the result of part (b) to show that var(x) >= var(max{0,X}) + var(max{0,-X})

 
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Let X1 T T0 X2 T T0 And X3 T T0 Be Continuous Time Markov Chains With State Spac

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Let (X1(t), t ≥ 0), (X2(t), t ≥ 0) and (X3(t), t ≥ 0) be continuous-time Markov chains with state space S = {1, 2, 3} and infinitesimal generators Q1, Q2, and Q3 respectively, where

For each of these three Markov chains, indicate whether or not the Markov chain is irreducible. Explain your answers.

 
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Let X1 X2 Be Two Random Variables With Joint Pdf F X1 X2 4x1x2 0 X1 1 0 X2 1 Zer

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Let X1, X2 be two random variables with joint pdf f(x1, x2)=4x1x2, 0 < x1 < 1, 0 < x2 < 1, zero elsewhere. Compute E(X1), E(X21 ), E(X2), E(X22 ), and E(X1X2). Is E(X1X2) = E(X1)E(X2)? Find E(3X2 − 2X2 1 + 6X1X2).

Let X1, X2 be two random variables with joint pdf f(x1, x2) = 4x1x2, 0 &lt; x1 &lt; 1, 0 &lt; x2 &lt; 1,zero elsewhere.Compute E(X1), E(X21 ), E(X2), E(X22 ), and E(X1X2).Is E(X1X2) =…

 
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