Find the CDF of the distance of two randomly chosen points of the [0,6] interval. F(x) - if x<0, if 06.

Q: Let f (x) = 1z1 -중23-22 + 4z -2. Determine at what point f (x) achieves a local max. If there is no…

A: At the point of local maximum, the first derivative of the function is zero and second derivative of…

Q: Consider a system made up of three distinguishable 3-sided dice. If the macrostate of this system is…

A: When flipping a 3-sided dice, the total outcomes are 63=216 The outcomes for tossing a die are {1,…

Q: Use the graph attached. The linear function is f(x). The quadratic function is g(x). Use the…

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Q: Use the graph attached. The linear function is f(x). The quadratic function is g(x). Use the…

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Q: Find the maximum and minimum values of the function f(x, y) = 2x? + 3y? – 4x – 5 on the domain a? +…

A: Given function is  fx,y=2x2+3y2-4x-5 on the domain g(x,y)=x2+y2≤121.

Q: Consider the function f(x) = −5x² + 70x + 6 on the interval [-3, 9]. Find the absolute extrema for…

A: The given problem is to find the absolute maximum and absolute minimum of the given function over…

Q: Consider the function f(x) = x* – 4x³ + 4x? + 4

A: To investigate whether the optimal points are global or not.

Q: 32,250+4,600x 2. C(x): gives the yearly cost of electricity of a household appliance. Find the…

A: We have to find

Q: Identify the vertex of: f(x) = 3(x - 5)² + 1/2 O (-15) O (5) O (-1/52,7) O (5,-)

A: Identify the vertex of: fx=3x-52+72A   72,-15B   72,5C   -152,7D    5,72

Q: Given the function P(x) = x(x-2)(x+3), find its y-intercept: (0,0) its x-intercepts: (-3,0),(0,0),…

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Q: Use the graph attached. The linear function is f(x). The quadratic function is g(x). Use the…

A: Following information given below.

Q: х* - Зx* +2 ,2 y' x? ,2

A: The x-intercept is a point where the y-coordinate of that point is 0. To find the x-intercept put…

Q: Use the graph attached. The linear function is f(x). The quadratic function is g(x). Use the…

A: Let us assume two functions f(x) and g(x) such that f(x) is a linear function with a negative…

Q: Let f(x) = (x²-4x+1 if x < 2 √x-2 if x ≥ 2 Sketch the graph of y = f(x). -8-7 -6 -5 -4 -3 2 Clear…

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Q: f(x)=3x2-12x+5 and the closed interval [3,0] Which of the following is the absolute maximum and…

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Q: Determine the minimum for the relation y (x + 16)(x - 8). -64 -16 -226 -144

A: To determine- minimum  for the given relation.

Q: Show that f is linear of slope m if and only iff(x + h) - f(x) = mh (for all x and h)

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Q: Find the point on the graph of the function f that is closest to the point (a, b) by minimizing the…

A: According to the given information, it is required to find a point on the graph that is closest to…

Q: Given that A = {1, 2, 3, 4, 5} and B = {x, y, z}, determine which of the sets of ordered pairs…

A: 1.  i) This ordered pair doesn't represents a function because the values 'y' corresponding to x= 4…

Q: The Maximum Value of the function f (x) = -2x² + 15x – 9 is : Select one: O a. { -3.75, 19.125 } O…

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Q: Does the ordered pair (3, 23) satify the function g(x)=7x+2? Does it satisfy the inequality y>7x+2?

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Q: Find a linear function f, given f(6)=-1 and f(-9)=-6. than find f(0)

A: Let the function is f(x) = ax + b ..... (1)

Q: max F(x1 ,x2) = x,x3 subject to 6xỉ + 3x = 72

A: Let the given function be  F(x1,x2)=x1x22    ….(1) and  G(x1,x2)=6x12+3x22-72=0    …(2) From…