6) (7.3) Find the Laplace transform L{f(t)} for f(t) = = t, -t +4, Ust 1≤t<2 t≥ 2

Q: Find the fourier expansion for the function whose definition - - <x <- 2 x, - 2 (x) 0, <x< 2 2

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Q: Examine the discrete time Fourier transform of sin) 5nn, .cos( 2 x[n]

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Q: Write the first 4 terms of the Fourier-Legendre expansion of the following function. Put in the…

A: It is known that the Fourier-Legendre polynomial series for a function fx in the interval -1,1 is…

Q: Find the Fourier transform of 4x if 121 <a f(x) - o if 1x129

A: To find the Fourier transform of the function  fx=4x,  if x&lt;a0,    if x&gt;a

Q: Prove that x² + ¹² +2111²2 = y 1112 where prime denotes differentiation w.r.t.s. 1 1+p¹² 4 p² o² + P

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Q: 12. Examine the validity of the mean value theorem for: a) f(x) = lx² + mx + n in [a,b]

A: Consider the function fx=lx2+mx+n in a,b Here, the objective is to examine the validity of the mean…

Q: Q2: EVALUATE * SJs(x) dx a.

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Q: Find the Fourier expansion of f (x)=-x; – x<xST;

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Q: X1, ., Xn are idd. find the MLE and cramer rao lower bound for unbiased estimator for theta. f (x |…

A: Given  fxθ=θ              when x=-11-θ2θx     for x=0, 1, 2, ....

Q: If k = (11.03.-9.12,3.15,-1.01) in R4 then k| = %3D %3D

A: Given  k = 11.03, -9.12, 3.15, -1.01t in R4. We have to find the value of k1.

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: Q2) Find the Z transform X(z) of the following function X(t) 5 – 3e-2t for T=1 sec. and k 20

A:

Q: 2. Let F(x) = x – sin(3x) on the interval [0, #]. (a) Explain why F satisfies the conditions of the…

A:

Q: in [1, 5] then the m for f(x) is

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Q: Show that the finite sine transform of , 0 < x < n is (- 1y*'- p

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Q: 8. What is the value of c guaranteed to exist by the Mean Value Theorem if m(x) = x4 - 3x over the…

A: The answer for the above question is as shown below.

Q: Find fourier cosine transform of for 0 1

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Q: Let X1,· , Xn be iid with pdf 1 -(x-01)/02, x > 01, -∞ 0. 02 f(x|01, 02) Show that (Xn – X1)/(X2 –…

A: Given that X1, X2, ...., Xn is iid with PDF, fx|θ1, θ2=1θ2e-x-θ1θ2,   x&gt;θ1 A statistics is…

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,…

Q: 1- Find Z-transform if x (n) = bln|

A: The given function is xn=bn To find its Z-transform.

Q: From the definition, derive a general expression for the form of the DTFT of functions of the form…

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Q: 2. Determine whether the Mean Value Theorem applies for the function over the given interval.…

A: We Know that the Mean Value Theorem states that if f is continuous over the closed interval [a,b]…

Q: 4.

A: Check that f(x) is continuous &amp; differentiable on the interval. Find the values of c The main…

Q: X 2 4 6. -2 4 8 11 Which of the following is the y'(3.8) value calculated by the backward finite…

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Q: -4s Using Laplace transform tables or otherwise, find L-1

A: Please check step 2 for the solution.!

Q: Show that the Fourier sine transform of the function 0 < x≤1 {:- 1-x 1 ≤ x ≤ 2 2≤x is given by 2 sin…

A: I think the given answer is not correct.

Q: skla 8. What is the value of Fourier discrete function & [k] at k = 1?

A: To determine: The value of the Fourier discrete function δk at k=1.

Q: Find the Inverse Z-transform for X(z)=(z+1)/((z-1)(z-2)(z-3))

A: