Prove that MSE(@) = v(ô) + [Bias(@)]?

Q: Prove that Ją (2) = =- J¼ (2) – J_4 (=)

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Q: -35 Find s?(s°+4)

A: We will find out the required value.

Q: Given fex) End (f-')'(5) 2X

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Q: 47. If S(2,y)=(2x-3yy', then f,= _ a) -15(2x-3y)" b) –10(2x-3y) c) 15(2x-3y) d) 10(2x-3y)

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Q: (4) VL1, L2 ((L1 UL2)* = L₁* U L₂¹).

A: This is always True

Q: Let f(z) = 10z + 6 %3D f (z) = Submit Question

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Q: The number of representatives of a political party, N, in a city council depends on the percentage…

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Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: Show and use d(Xn, FCN))<« d(Xn-1 'x) Vny? To prove X = fx) %3D

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Q: f (n) + g(n) = 0(max(f(n), g(n)))

A: Big Theta notation (Θ) :  f(n) is said to be Θ(g(n)) if there exist positive constants C1 and C2…

Q: Show Vx Vy[p(x, y) → ¬p(y, x)] E Vx¬p(x, x)

A: Please check the answerin next step

Q: If B' is of order 2x3 and BA is order 3x4, then A is of the order T

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Q: 12 y' (12x +5) (4y* +3)° b. If y* +3y-4x' = 5x+1, then prove that y"(4y +3) = 24.x--

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Q: Let f(x) = In(5æ² - 4x + 9) f'(x) =

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Q: 3-2 7) 6 – z*

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Q: If the dependent variable goes up when the independent variable is increased this is a(n)

A: If the dependent variable goes up when the independent variable is increase, this is an estimating…

Q: ſ csc' xdx

A: Solution is written in below steps.

Q: dx (1)(- 2e * )

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Q: Suppose X~N (μ,σ') then X – H - - N (0, 1) o2 O True O False

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Q: Suppose a function’s Hessian has both positive andnegative entries on its diagonal. Show that the…

A: Assume that the Hessian matrix Hfx of the function fx has both positive and negative entries on its…

Q: Prove that In( +VI-X²³) = In ( ¹+ √1-x²) sech ¹(x) =

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Q: Calculate R_5 for f(x)=2x^2+8x over [-1,1].

A: Given: fx=2x2+8x The interval is -1, 1

Q: p(+) = + = Find P (Q(+) P(Q(r) Q (t)=1 ++1

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Q: 1 4[Vx(ax* + bx +c ]= 2Nx -(5ах* + 3bx + с) b)

A: We have to find  the derivative for the given function

Q: Determine the interpolating polynomial for f(x)=x^(2)+sin\pi x through (0,0);(1,1) (2,4). What is…

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Q: Suppose that Var(X) = 802.56, Var(X) = 10858.88, and Cov(X,Y) = 2576.44. What is Var(.46X + .54Y

A: Given that Var(X) = 802.56, Var(Y) = 10858.88, and Cov(X,Y) = 2576.44 We have to find   Var(.46X +…

Q: Express (i)(T) J3(x) in terms of J₁(x) and Jo(x) (ii) J₂(x) in terms of J₁(x) and Jo(x) (iii) J4…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…