Let f be a continuous function such that f(x) dx: = -1 and f(x) dx = = 9. %3D 2 2 | f(x) dæ? What is the value of

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A: We have to find the answer using the definition of uniform continuity.

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A: topic - integration

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A: Given

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A: Given Data : Probability Density function of continuous random variable X is given by :…

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Q: 25 If f is continuous and f(x) dx = 8, find xf(x²) dx.

A: given ∫025f(x)dx=8∫05xf(x2)dx=?

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A: The CDF F(x) is defined as  F(x) = P(X ≤ x)

Q: H.W-2:Is the following functions continuous or not at z = 0? %3D Re(z) f(z)= 1+ z %D Z

A: Topic:- calculus

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Q: uppose ſ, f (x)dx = 8, f(x)dx = 10 , §' g(x)dx = 4 , fó g(x)dx = %3D %3D %D ind : f (x)dx 4 [f (x) +…

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Q: H IS A CONTINUOUS FUNCTION HCX) >-1 FOR EVFRY X FOR EVER4 IW [a,b J. Then dx

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Q: cx+a 8. Let f : R –→R be continuous. For a > 0, let g(x) | f(t) dt, x E R. Show g is differentiable,…

A: “Since you have asked multiple questions, we will solve the first question for you.If you want any…

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Q: Let f ( x, y ) = ln ( ex * Y ) be a function. At which point the function is discontinuous? O a. (…

A: Given: f( x, y) = ln ( ex+y )     To determine: The point at which function is discontinuous.

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Q: Let X and Y have the joint pdf f(x, y) = (1 – xy), 0 < x < 1, 0 < y < 1. Find E(X).

A: The given joint pdf is fx,y=431-xy,0&lt;x&lt;1,0&lt;y&lt;1.

Q: Consider the function f that is continuous on the interval [-5, 5] and for which ſ ƒ (x)dx = 4.…

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Q: The linear approximation L(x) of a differentiable function f(x) near the point x = a is L(x) = f'(a)…

A: Given statement is false, because

Q: Let X and Y have the joint pdf f(x, y) = (1– xy), 0 < a < 1, 0< y< 1. Find E(X).

A:

Q: let X be continuous r.v. with pdf f(x) = kx2 where 0 ≤ x ≤ 1 . Find k then use it to find E(x). What…

A: We have to find value of constant and then mean.

Q: Consider the function f that is continuous on the interval [-5, 5] and for which f f(x)dx = 4.…

A: We need to evaluate integral.

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A: Given- If f and g are continuous on [a, b] then  ∫abf(x)g(x)dx=∫abf(x)dx∫abg(x)dx To determine…

Q: If f f(x)dx si f(x)dx. 24. = 2; Sí f(x)dx = -1; ſ, f(x)dx = 7 , evaluate

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Q: 3 xf(x2)dx df(x) dx = -9, find If f is continuous and 0

A: f(x) is continuous

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Q: Suppose X has pdt f(x) = - z(1 +x) which one is the pdf for Y 2X. (A) f)D- (8) f0)=- z(l + 4y) (4 +…

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Q: Find an antiderivative F(x) of f(x) = 5x – Va. F(æ) =|

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Q: If f(x) and g(x) are continuous functions, then S) • g(x)] dx = | fO fra f(x)dx• g(x)dx. %3D

A: To state whether the statement is true or false with explanations:

Q: [a, b]. If F(x) is an antiderivative of f(x), for real numbers ¤) + k]dx is equal to

A: