What is the 4-point DFT of x = (0, 1, 0, 1) ? O(1, 1, 1, 1) O (2, - i- 1, 0, i-1) O (2, 0, - 2, 0) (1, i, 1, i) О 4, 0, 0, 0)

Q: Prove dx p > 1 xP diverges, p< 1 1

A: Given the improper integral :

Q: Let x₁ = a +bt² +c+z₁, t=0, 1, 3,... where a,b and c constants and z, ~WN (0,0²). a) Let U₁ = x,…

A: Given, xt=a+bt2+c+zt , t=0, 1, 3, . . . where a, b and c constants and zt~WN0, σz2.

Q: n Rị |1-Ri Lecen (A) = II [A exp(-AZ,)]“ [exp(-ar)] z.)][exp(-Ar)]" i=1

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Q: et d Calculate dt \e +1) ()

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: dx - x³)². (1 – -

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

Q: Lw(s) ~ 1 – Show that 1 is MTTF where

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Q: • The Doman of f(x) = 4-Vx is 1. (2, co) 2. [-2, c0) 3. [2, 0) 4. [-2,2]

A: The domain is the set of all values of x for which the value of function f(x) exists.   For f(x)=4-x…

Q: 1. (J · K) v (~ J. ~ K) / :. J = K

A: There are three expression in the given logical statement. They are J.K ~J.~K J≡K We prove the two…

Q: Please solve the following PDE: Af(t, x,y) af(t,x,y) _ {\f(t,a,y) = a2, f(0,x, y) = za² zz2 + + x-…

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Q: Prove that m-l dx =0 m +n (し+x)" where m,n are both Positive

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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 &gt; 0

Q: \(d\) is a metric on \(X\). Show that \(\rho : X^2 \to [0,\infty)\) defined by \[ \rho(x,y) =…

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Q: Condition JW=3.6, j0=0.4

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

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Q: In the context of ordinary least square (OLS): Given mịn- ||Y – Xß||? Use derivatives to derive the…

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Q: Let f(x) = 1+ VI-1, then f 1'(x) = %3D Select one: O a. (r +1)2 +1 of O b. (z - 1) -1 O c (x – 1)² +…

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Q: Compute the average value of the function f(x)=(9x²+5x+7)e* on the interval [-5,9]

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Q: In what ways are backward integration and forward integration different, and how may these…

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Q: Prove that • I %3D

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Q: Find the inverse Laplace transform f(t) = L-' {F(s)} of the function 4s + 7 F(s) s2 + 36 4s + 7 1 {…

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Q: If f(x, y) = (8x2 + 8y³)³, then f_(0,0) %3D %3D A) 0 B) 2 C) 8 D) 1 E) Does not exist

A: Let us consider the two variable function f(x,y) Partial derivative of the function with respect to…

Q: Let X~N (6,2) and P(X>a)= 0,3 Find a?

A: GivenX~N(6,2)Mean(μ)=6standard deviation(σ)=2

Q: Prove that √ ²07²dx = √= So e

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Q: 3 For f(x,y) = In x+y°, 4,8)

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Q: A rental truck costs $45.45 for a day plus 94¢ per mile. (a) If x is the number of miles driven,…

A: Given that, a rental truck costs $45.45 for a day plus 94c per mile.

Q: .3 1+ at dt

A:

Q: 4. Evaluate [(3x? - x + 6)dx i) 1 + 1(1? +1)' ]dt ii) o V1 +x* iii)

A: 4 (i). Given integration is : ∫-133x2-x+6dx To find the value of integration.

Q: Find af af Әх' ду af ду f(x, y) = 7(x2 + y2) log(x2 + y2), (x, y) ≠ (0, 0) af Әх for the following.…

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Q: (b) Evaluate at the point (s, t) = (1, 2). Əsət

A: As per requirement, we we solve part b) only Given function is z=fst-3,s2+t3 f1-1,9=3, f2-1,9=7,…

Q: What is Wronskian of e' and et? 1. -2 -2t O000

A: Given that  e^t and e^(-t)  To find the wronskian of e^t and e^-t

Q: if  1/f - 1/u = 1/v then  f =

A: Given

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.