Find e(k) for k = 0, 1, 2, 3, and 4 if [e(k)] is given by E(z) = Z 1.98z -0.9z+0.9)(z- 0.8)(z² -1.2z+0.27) -

Q: If E (X) = 1 and Var (X) = 4 then E (X² + 2X – 1) = :- 1)

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Q: E. Find (f • g)(x), (g• f)(x) and (f • g)(2) 1. f(x) = 2x g(x) = x +5

A: The functions are given by fx = 2xgx = x+5 To evaluate: The expressions of f∘gx , g∘fx and the value…

Q: Which is true for the f (x)= (2x-4x)e A. f(x)=e* B. f(x)=e*-1 C. f(x)=e D. f(x)=e

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Q: f we use Trapezoidal rule to approximate * f(z)dx then find the value of x2, where n= 6 Select one:…

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Q: Show that E(X-µ)³ = E(x³) −3 [E (x²) ][E(X)] + 2[E(X)]³

A: The linearity of expectation property: With the assumption that, Xi's (i=1,2,...n) with n positive…

Q: For the function f(x,y)= (x² + y²) tan(ln(xy)) + e(x-y) which of the following is the value of…

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Q: Find a formula for f (z) if f(z) = I+1 f '(z) =O ( )'(2) =D-

A: We will use concept of inverse function and differentiation of a function.

Q: If s(-2) = 1 and s'(x) < −3 on [-2,9],

A: s(−2)=1 and s′(x)&lt;−3 on [−2,9], Using the mean value Theoremf′(c)=f(b)−f(a)b−a

Q: Find functions g and h such that f(x) = g(h(x)). f(x) = e4x + 2 A. g(x) = 4x+2, h(x) = ex OB. g(x)=…

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Q: If a function h satisfies h(-x) = h(x) for every number x in its domain, then h is called an even…

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Q: x2n+1 El-1)"; 2n +1 n=0

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Q: (153) (b) Let g(x) = 2***. Find gs"(x). II

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Q: By using Rodrigue's formula, prove the following relation Ph+1(x) – Ph-1(x) = (2n + 1) P,(x) 4- %3D

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Q: Given that E(X) = 3, and E(X²) = 10. Find E[(5X +3)²].

A: From the provided information, E (X) = 3 and E (X2) = 10

Q: Let k(x)=f(x)g(x)h(x). If f(5)=−9,f′(5)=0,g(5)=−3, g′(5)=9,h(5)=−8, and h′(5)=−4, what is k′(5)?

A: Given, k(x)=f(x)g(x)h(x). If f(5)=−9,f′(5)=0,g(5)=−3, g′(5)=9,h(5)=−8and h′(5)=−4

Q: If f(x) = an(x – 1)²n for all æ, then f'(3) is equal to n=0 OA. 2nan-122n-1 n=1 В. 2 2na,22n n=1 OC.…

A: According to the problem, we have

Q: Find h(g(2)), where h(x) = In(1+x²) and g(x) = Ve2a – 1. - O 6 оз O 4 O 5 O Answer not listed O 2

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Q: Solve for F(s) L[(1+ e2t)²] a. 1 2 1 s's-2's- 4 Ob. 1 2 s - 2 s's+2 1 + s's+2' s + 2 d. 1 + s's-2' s…

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Q: Let E(X)=−7,E(Y)=4,var(X)=16 and var(Y)=8 Calculate (a) E(2X+4Y). (b) E(X − 2Y − 2022). (c) var(2X…

A: According our policy we can answer only first three subpart for remaining please repost the…

Q: For the PMF Px (x): = 2 0 x = 1, 3, otherwise. " calculate E[X]

A: The PMF of X is, .

Q: Given g(x) = In(7x+x), the derivative g (x) is

A: Given,           gx=ln7x2+x

Q: Let f(x)=1/ x−2 and g(x)=(2/x)+2. Then (f∘g)(x)= (g∘f)(x)=

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Q: Find a general formula for f (n)(x). f (x) = x−1/2

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Q: b. 8(x) = E ()" k = 1

A: domain: where function is defined

Q: If Mx (t) = X X-t find E(X) E (x²) and var

A: The moment generating function (MGF) is given as follows:

Q: Find g(t) if g(t)= (f*g)(t) = L¹ ((-2/s +3/s² - 2/s³)F(s))

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Q: Given that f(x) = x? + læ and g(x) = x + 5, calculate. f(g(1)) = g(f(1)) =| %3D

A: To find the following

Q: Given x (0) -2,x (1) =1, x (2) =2 evaluate X(k) by using DFT.

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Q: 4. Let f (g(x)) = (3x – 5)² + 1 and g(f(x)) = 3x² – 2. Find a single formula for f and a single…

A: We have given that f(g(x))=3x-52+1 and g(f(x))=3x2-2. We have to find for single formula for f and a…

Q: - f«) = f(x) = E n=1

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Q: Let X - x? (s). Find (a) E (1+2X + X²) where E (g (x)) = 6° g (x) fx (x) dx. (b) the characteristic…

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Q: Find E3,2 using the law according to the mittag Leffler function + Σr(a(n-1) + B) n=2 Ea,ß(z) = 2 +

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Q: n=2 (Inn)² n³ 3

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Q: g (x) = V2x-1- 1. Which function is the inverse of of (x) = 2(x+ 1)° + 1 of (x) = 2 (z+1)3 +1 ° f…

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