2. Given g '(x) : 8 – 2x and g is continuous on its domain of (0,0), find the critical values of g. A) x=-2, x = 0, and x = 2 only B) x=-2 and x=2 only C) x=2 only D) x=-2 only E) x=0 and x =2 only

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A: The given function is f(x,y)=6y2+4x2-12xy-4y

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Q: Xn Xn=3-(-1)" xn = cos (¹₂) √1+n² Xn= 27-5 Xn=¹ where (yn) is bounded 4 lim inf(x) lim sup(x₂)

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A: Given: fx=sinhx+2coshx, x∈0,2. Interpolation nodes xk=k4, k=0,1,⋯,8. To find:          An upper…

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Q: 11. Show that the Beta function, defined by B(x,y) = (1-t"-1 dt , for x> 0, y > 0, satisfies the…

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A: Let's find.

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A: Introduction: Laurent series has an important role in determining the singularities. Suppose, a…

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A: First we shall diffrentiate fx,y with respect to x. fxx,y=2x-y-5 . . . . (equation 1) Now,…

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A: Here, the given statement is: If (2,1) is a critical point of f and fxx(2,1)fyy(2,1)&lt;fxy(2,1)2…

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Q: 1 Find skewness and kurtosis for the RV X with PDF f(x) = 2T -∞ < x < x.

A: PDF of X,  fX(x) = 12πe-x22, -∞&lt;x&lt;∞ So, μ = E(X) = ∫-∞∞x f(x) dx=∫-∞∞x 12πe-x22 dx=0 [as…

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A: Given, for a random variable X, its kth order moment is defined as EXk and its Fourier transform…