2-3.3 a) A random variable X has a probability density function of the form fx(x) = exp(-2|x|) -∞

Q: differentiate the question 1 to 5

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Q: ****** x² x3 x4 +: 6 P4(x) = 1+ x + x +¬+ 2 24

A:

Q: 3. (a) Which of the following functions have 5 in their domain? f(x) = x² - 3x *- 5 h(x) = Vx - 10…

A:

Q: 7x + 3 Given f(x) then f-1(x) will be 8

A: f(x)=7x+38 , we have to find f-1(x)

Q: Find the criticial numbers for f(x) = xlnx

A: Given, The function is f(x) = x lnx

Q: how do i solve this problem 5/4-x-1/3=x

A: Solve the equation as follows.

Q: and g( x) = 7 − ( x − 3)^2 , a.) Solve for x: f ( x) = g( x) (Answers c

A: Inequality: a)f(x)=3x3-4x-3g(x)=7-(x-3)2f(x)=g(x)3x3-4x-3=7-(x-3)23x3+x2-10x-1=0The solution isx≈…

Q: if f(x)={ -3x       for x -1  find f(-2)  a. -6 b.9 c.6  d.-1 e.0

A:

Q: Suppose that f(x) 2 4x Find f'(x).

A: use quotient rule for differentiation

Q: QUESTION 2 Find the general solution, in terms of real functions only, of x' = 3x + 4y y' = -0.5x +…

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Q: Suppose g(x) = 3 + x/2x − 3. Evaluate g^−1(−1).

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Q: 8)If f(x)=x/(x-1)^2, f(x)=(x+1)/(x-1)^3 f"(x)=(2x+4)/(x-1)^4 Graph this function using all available…

A: Given function is: fx=xx-12 A function is sad to be undefined at a point where its denominator…

Q: x^2-1

A: Equate the equation to 0 first ie x^2-1=0 now move 1 to the RHS and apply square root on boths sides…

Q: I'm stuck on the last part of the problem (14g) which states  Solve (f^-1)(g(x))<1 where f(x)=…

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Q: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

A: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

Q: Given, F(x) = 2x+3/4x+5 for x ne-5/4; f^-1(x)

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Q: Given f (x) find f^−1 (x) for each of the following:  f (x) = 2x−3/7+x

A: Given function is:

Q: f(x) = 3 IS %3D 3(x)ミVX |(90gl0) = ?

A:

Q: If h(x)=2-4/3x given the equation for h-1(x)

A: The definition of h-1(x) is h-1(x)=1/h(x)

Q: If f(x)= x^2 − 4x − 1  find the following. (a) f(x+a) =  (b) f(a) = (c) f(x+a)−f(a) = Note x^2…

A: Given that:f(x)=x2-4x-1

Q: suppose f(x)=1/x and f(g(2))=-1/3. find two possible equations for g(x). show how you know

A: Given that  and .The aim is to find the two possible equations for .

Q: Consider the following problem; max F(x1 ,X2) = x,x3 subject to 6x + 3x3 = 72

A: Solution is given below:

Q: solve for x if CDy=4(x-E)

A: