Use moment generating functions to show that if X3 = X1 + X2, with X1 X3 - X V3 > vı, and X1 and X2 are independent, then X2~ X- %3D

Q: Find the domain of * y = V2x +12 ?

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Q: Show that /I +x 0.

A: Mean value theorem: Let f be a function satisfying the following properties: 1. f is continuous on…

Q: Let X and Y be jointly cantinuous random variables with joint PDF is given: $ X,Y (x.y) = (1+x*y)…

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Q: Differentiate x³ - 1 y = x* + 1

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Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: Evaluate intergral  (ax)/(x2-bx) where a and b are constants

A: The given integral is ∫axx2-bxdx.

Q: x^2=Axy+By

A: Simple value put

Q: { x 2 1.8x – 6.6, g(x) : -0.4x – 2.2, g(2) = lim g(x) = x-2- lim g(x) = x-2+ lim g(x) = x-2

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Q: Let /(x) = 7 - 9x - 20. Find f(-3)

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Q: Find domain and range of the * function y = Vx2 – 4x

A: To find the domain and range of  y=√(x²-4x)

Q: List the zero's of f(x) = x³ + 3x² - 4x. X =

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Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = -…

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Q: Let f=​{(0​,8​),(5​,0​),(9​,4​)}. Find f(0)

A: We have given f.  We have to find f(0)

Q: x/2(2x + 7)* (3x² + 1)? Differentiate y = In

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Q: X; - X-1 = (H + y;) – (Hi-1 + yt–1) (2.27) = 6 + W; + Yt - Yt-1. It is easy to show z; = yt – Yt-1…

A: A weakly stationary vector  (X1,...,Xn) and time shifted vector (X1+h,...,Xn+h) has same mean and…

Q: 1- x 5. dx VI - r

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Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below

Q: 4 Simplify to approximate the sum of the area using right end points. j=1

A: Answer is here

Q: = Let p¹²-2x+1, p² = 3 +3x+1 and p35x + 10. Let = x³-3x + 4. Is q in me span of pl,p2 and p3?

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