2. Aprobability mass function is given as f(x) =- for x = 0,1,2,3,. Find P(1.5 < X < 4.2)

Q: What values of a and b make the function f continuous everywhere? I -4 if z<2 H-2 az² – bz = 18, if…

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Q: 2. a. f(x) = (x+2)/(x +4). Use the Mean Value Theorem on the interval [0, 4] to find all values of x…

A:

Q: Find f. f"(x) = x-2, x > 0, f(1) = 0, f(4) = 0 (x) = -In(x)+ (In(4))x – In(4)

A: Given

Q: Find a function f so that the maximum rate of change occurs in the direction of u = (1/sqrt(5))…

A: The maximum rate of change occurs at ||grad(f)||. We are given that,       We know that the maximum…

Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, f(5) = 0 f(x) =

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Q: a. Find a sufficient statistic for 0. b. Is your statistic in (a) also complete? Show/justify.

A:

Q: find the value of x where y is a minimum  y = Ax2 ln(x)

A: Take the derivative and equate to zero than solve for x.

Q: Let X Unif(0, 2) and Y~ Bi(2,0.5). If Z is a mixture of X and Y with equal weights, graph the…

A: Given that

Q: Find XY when X(-7, 10) and Y(3, 4).

A: We use the distance formula between the given points X and Y.

Q: The function f is given by f(x)=9.x^2/3+3x-6 has a relative minimum at x=? A. -8 B.-1 C.-1/8 D.0

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Q: 2/3. Find the largest value of f(x) = 2x²3_3x53 - -X 5 9 2 on the interval [-1,5].

A: Find the largest value of  on the interval .

Q: Assume f is a differentiable function on [5, 9]. Assume that f (5) = 2 and that f'(x) > 18 for all x…

A: The given condition  for all  implies that the function f is increasing on the interval ](5,9).…

Q: 7) Let f(x) be a function such that f(1) x E [1,6]. Find how small can f (6) possibly be? Explain.…

A: We have

Q: 6. Does there exist a continuous function on the interval [0, 2] such that f(0) = 0, f(2) = 7, and…

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Q: ((x+2)', x 4 = { 1 + Vx, -2 4 f(4)

A: Given piecewise function is. fx=x+22, x&lt;-21+x,-2≤x≤4x+42,x&gt;4

Q: Find f. f "(x) x2, x > 0, f(1) 0, f(9) 0 =

A: Given,

Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g'…

A: We have to find the value

Q: Selected values off and f", where f is a twice-differentiable function, are shown in the table. -1 0…

A:

Q: We are given the following functions f : Z → Z × Z, f(x) = (x^2, x^3).  (a) Find images f({1, 2, 3})…

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Q: The figure above shows the graph of the differentiable function f for 1 ≤ x ≤ 11 and the secant line…

A: Instataneous rate of change is given by slope of tangent.and the average rate of change is given by…