Q3/ Calculate the z transform of the following sequences, draw the region of convergence in each case: * (a) {(-})'} 5 (b) {cos kT} (c) {3k}

Q: at point x0=1 ,x1=1 and x2=2 f(x)=sin(x)+(x^2)+xe^2 function crossing second Write down the…

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Q: Let St = }(Yt + Yt-1) be a moving average process, Express the residual series YŁ – St, in term of…

A: We are given St = 1/2(Yt  + Yt-1) And residual series is given by Yt-St is to expressed in terms of…

Q: sin(n) Q2: Does En=2 convergent or divergent by use integral test? n2

A: Explanation of the answer is as follows

Q: What is the probability that given a block n of 30 bits, that you have an error sequence E(X)=P(X)…

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Q: f(x) = log5 (2x + 1).

A: To  Determine:  Interval of convergence  f ( x ) = log5 ( 2x +1)

Q: Let (X„) be a sequence of independent exponentially distributed random variables w respectively. log…

A: From the given information, Xn be a sequence of independent exponentially distributed random…

Q: Use the root test to determine whether convergent or divergent from k=1 and ♾ of (9k+2/16k+1)^-k/2

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Q: let k >= 2 show that n= 5^k-1 satisfies the equation 4σ(n) = 5n-1

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Q: [11 sec²(x) dx convergent divergent

A: We have to check that given integral is convergent or not.

Q: Suppose f" (x) = N,(h) + a,h? + azh* + azhº + ... %3D The value of N2(h) using Richardson's…

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Q: For Newton's Method, y = x^d. How d will influence the convergence of Newton's method?

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Q: If the pdf is e^tx/2a -a < x < a, Find the generating function(express your answer in simplified…

A: Given:

Q: f(x) = e^-1/x^2 show that there is no positive number M such that each natural no n, |f^n(x)|&lt;…

A: We need to prove that there is no positive number M such that each natural number n,

Q: expand in a taylor series about x = 0 the function f(x) = cos((sinh^-1)x) to order x^3

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Q: Determine if  ∫3-2(1/x^3)dx  is convergent or divergent.

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Q: Suppose that T(X) is sufficient for 0 and that ^e(X) is an MLE of 0. Show that ^0 depends on X…

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Q: Evaluate an improper intergral. determine whether its convergent or divergent. 2 through infinity…

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Q: Use power series to evaluate the limit. lim as x goes to 0, (e^x-(1+x))/x^2

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Q: Show /x^ In х dx xn+1 ((п + 1)In x — 1) (п+1)2

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Q: Determine x(2) if x(n) = (1/3)^ ^(-n). What is the regions of convergence of 2?

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Q: Find the arc length (s) of the curve 7(t) = (e*, 4e", - 2et) for 0 <t < In(5) |

A: we are given the curve  r→(t)=e5t,-4e5t,-2e5t =e5ti-4e5tj-2e5tkwhere 0≤t≤ln5

Q: 2/Solve the following sequence X(n)= n. "u(-n) by using the differentiation property of the…

A: As per the question we are given the following sequence : X(n) = n (1/9)-n u(-n) And we have to find…

Q: what is the summation where k = 1 of e^-2k

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Q: Let 7(t) = Find 7'(t) F'(t) =

A: The objective is to find the derivative of given

Q: the avrage velocity of p(t)=4.5t^2-15t+180 over[1,5]

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