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Q: E [X - E ( X)]2 is Select one: O a. V( X) O b. E ( X) O c.E ( X2) O d. S. D(X)

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Q: 26) Consider the function S1 if 0<x < 1, х ifx€ [1,2]. f (x) = Let F(x) = So f(t)dt for each a € [0,…

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Q: if 2E2, f(2)= 12₁² find @if 20 then f/2) not exists Oif 2=0 then find f(z)

A: Given that fz=z2, then find  1) If z≠0, then f'z not exits. 2) If z=0,then find f'z.

Q: :1 S* d(x³). 3

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Q: Derive the 4-point forward formula for f"(x) by using values f(x), f(x+h), f(x+2h), and f(x+3h).…

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Q: Suppose that j(x) = h¯¹ (x) and that both j and h are defined for all values of x. Let h(6) = 4 and…

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Q: 1 If z = 2 V3 -i, then find ()*

A: Given complex number is: z=-1-3i2 Find the conjugate of complex number: z¯=-1+3i2 Find z¯4?

Q: X4 none of these X (c) f'(x) does not exist.

A: f''(x) = 0  at sharp corner f'(x) does not exist for f'(x) = 0 , tangent line is horizontal

Q: Set f(x) = In(9x - 8). Question 1 For k > 1, f (k) (1) =

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Q: During a Formula 1 test. 25% of the cars that participated in the test experienced a tire blowout.…

A: Correct answer is  (C) 0.1484

Q: 1 Expand f (z) = in the domain 4 < |z| < 12 (z-4)(z-12)'

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Q: From algebraic form of function ez, prove that  |ez| = ex

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Q: Integrate the following function f(x)= 6x- + 2x – 5 dr

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Q: Suppose f(x) = f* (e True or false: The function f is strictly increasing. True False (612 - 1) dt…

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Q: s) Let f(x) 1 and g(x) 4 + 6. - х — 6 Then (fo g)(x) = (go f)(x) =

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Q: ! Given f (x) = {x + 2 if x > 10 lx – 7 if x < 10' D. ! determine each of the following. a.) f(14)…

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Q: Show that (an) is increasing

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Q: -3 and y = 2 0 Let x = ||x - y||₁ ||x - yl|oo = ||x - y||2₂ = 3. Compute

A: Given : x=-5-32    , y=330

Q: Let f(x)= x³+1. Then (fof)'(1)= O 20 O 36 O 3 O 9

A: Please refer to the image below

Q: at X=t イ

A: Function is given by f(x) = 4-4x+2x f(1) = ?

Q: Suppose f(x) and g(x) are two functions such that: • f(3)=1 • g(3)=1 • f(3)=5 • g'(3)=7 What is…

A: we know that uv' = u'v+v'u                   product chain rule of differentiation

Q: Let X~ N(1,4). What is E(X²)?

A: Here, it is given that X~N(1,4) that is X follows Normal distribution with mean μ=1 and variance…

Q: The net weight in pounds of a packaged chemical herbicide is uniform for 49.75 < x < 50.25 pounds.…

A: From the information, given thatLet X denotes the net weight of a packaged chemical herbicide in…

Q: -> (6) 금 AxB) at t-1 at t=1 (1) A X 4P

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Q: Let f(x)= 2x ; OCxCI, Find E(3X+6) 3 4 8. 6.

A: In question, We have given pdf of X. Then we'll find the value of E(3X+6). The solution is below,

Q: In x dx = x* +1 now that 16

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Q: 2- (a) Using [X, P] = ih, show that [X, PJ = 2ih& and [&, Þ³1= 2ihP. (b) Show that [, p2 = 2in(in +…

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