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 requested function and state the domain. 6 (g o f)(x) for f(x) = and g(x) = 2-x 6

A: Given : fx = 6x6gx = 2-x

Q: Estimate f(2.98, –1.99) given that f(3, –2) = 2, f«(3, –2) -3 and fy(3, –2) = -4. = f(2.98, –1.99)

A:

Q: Give Three Functions  of Wronskian ?

A: To Give: Wronskian of three functions.   Wronskian:

Q: Determine end behavior

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Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

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Q: Use synthetic substitution to find f(2) and f(- 1) for each function. f(x) = x ^ 3 - 5x ^ 2 - x + 6

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Q: S(x1, x2) = (3x1 + 2x2, x2, x1x2) is not linear. What are the parts of the function that cause the…

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Q: Determine whether the functions f1(x) := x + 1; f2(x) := sin(x); f3(x) := x - 1; f4(x) := 3 are…

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Q: Differentiate the following function. y=x(x5 + 5) 3 Choose the correct setup below to differentiate…

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Q: = x? – 5x + 7 has roots a and B. Use symmetric Suppose that f(x) functions to find a + B, aß, a² +…

A: If we have a quadratic equation ax2+bx+c=0 and α and β are the roots then: α+β=-ba αβ=ca We can use…

Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: Find the linear function f(x) passing through (6,8) and (8,10) Enter answer in form…

A: Explanation of the answer is as follows

Q: h = (-6x³ + 9xª + 5x7) (7 + 5x – 4x?). Then h= fgwhere %3D f = and g = Using the product rule h'(x)…

A: differentiate this with product rule.

Q: Find the ain of the composite function f og. dom f(x) = 5x + 20; g(x) = x + 7 %3D

A:

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

A: See the answer below

Q: (х, у) — ху? + yex- +5

A: we have to find fxx and fyy.