(a) If X takes on the values 0, 1, 2, and 3 with probabil-ities 1 125 , 12125 , 48125 , and 64125 , find E(X) and E(X2).(b) Use the results of part (a) to determine the value ofE[(3X + 2)2].

Q: [(r* - 1) (4 – x* )ax

A:

Q: Q2) Use rounding to 6 digits and compute each of the following: a) P(0.01), where P(x) =…

A: Given, P(x)=(ex-1-x)x2 therefore, P(0.01)=(e0.01-1-0.01)0.012                                =…

Q: If 1² + 2² + 3² + ..... +2003² = (2003)(4007)(334) and (1)(2003) + (2)(2002) + (3)(2001) +…

A: The Value of x is 2005.

Q: Find the smallest integer x for which (x4 + 4x)/(x + 2) is O(xx). 01 02

A:

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…

A:

Q: 1. (a). Show that (1 · 1) + (0 ∙ 1 + 0) = 1. (b). Find the value of (1 + 1) .

A:

Q: Find the GCF of -3x3 + 15x² – 6x

A: To find the GCF of -3x3+15x2-6x

Q: (2) for 1t 1-1 + what Valuer of x doesi Corverge

A: Using the convergence of geometric series.

Q: 12 Find the independent term of x in development (x² − ¹)²

A: We have to find the independent term of x in the expansion of (x2−1x)12, we'll use the binomial…

Q: (a) Compute A2, A3, .•. , A7• (b) What is A2015?why?

A: (a) Compute A2, A3, .•. , A7• (b) What is A2015?why?

Q: GIVEN: xihl i+ 2) 드 hai (-1)" (n + 2) 2"+1(n + 1) 4. Compute the exact value of n=0

A:

Q: g(x) = [[ ½ x ]] %3D

A: Given : g(x)=12x

Q: (i) (Z- Q) and specified in it using the most concise notati

A: Firstly we write elements of both sets Z and Q and then find Z–Q

Q: Find x, y, z, and w. x y z 8 (x + 7)] = [ (2² (2x - 3) X -1 W (9 + y) -8

A:

Q: (c) (i) Express the decimal 9.999 in the form where a, b € Z.

A:

Q: Verify that det(AB) = det(A) det(B) for the following:

A: Given: The given matrices are A=1-23-231010 and B=1023-25213. First, find the determinant of A and…

Q: (-1)^ xIn lIt) = (-1)" (n+ 2 2n+1(n + 1) che exact value of

A:

Q: A = [12] 13 compute 4-3

A: Solution :- First find the inverse of matrix A Here A =1213A-1=1213-1Find 2x2 matrix inverse…

Q: Given Ā =, B =,č = (a) Compute Ā· (B + T) (b) Compute A · (B × C)

A:

Q: Find the coefficient of x11 in (x2 - 3x) / (1 - x )4

A: Solution:

Q: 3. Compute |(1+ i)(1 – i)(1 + 3i)| .

A:

Q: 3 2 1 Let u [-]--[-]-[] -3 V 2 and w= 1 0 -1 4 (a) Show that B = {u, v, w} is an orthogonal basis.

A: The given vectors are:  u=3-30, v=22-1, w=114. (a) To show: {u,v,w} is an orthogonal basis. (b) To…

Q: Suppose L(x) = "x is a llama" and E(x) = "x is an emperor." Do the following to statements mean the…

A: Consider the given information:

Q: L-1 if (24/ ((5-7)²-9) 1 ;)} What's the value of a*c? = atbect senh(3t). =

A:

Q: 43x - Let h(x) x + 8 Evaluate h(6): h(6) = Determine x when h(x) = 8

A:

Q: (c) How many of the elements of Z186 have multiplicative inverses?

A: To find the number of elements in the set of integers modulo 186, which have multiplicative inverse.

Q: a) 1 (x-1)(x+2)(x+4)

A:

Q: If / (7-4) (x + 8) 12 O 4 dx Adx - A+B 4 Bdx x+8' , then A+B =

A:

Q: Compute the following values, showing your work: φ(20), φ(25), φ(54) and φ(8!)

A:

Q: Evaluate O √x(1+x²) dx 2 x1/2 1 2x¹/2 O O 2,2/3 3 O 3x²/3 2 + 2x¹/2 + C x1/2 + +C 2 2x5/2 5 5x5/2 -…

A: Note: Every options given by the question are incorrect. I am 100% sure about it.  The correct…

Q: So what's the final value of x1 x2 x3 and x4? indivually

A: Answer :  No value  the system of equations does not converge to any value. so there doesn't exist…

Q: Given w(x) 5a +6 and z(x) = 3x – 4, evaluate the following. %3D %3D (a) (w o z)( – 1) = %3D (b) (z o…

A: Consider the given information. wx=5x+6zx=3x2−4 Find the composition of the function as,…

Q: Evaluate the following r+1 (1) -1+1 (i) 1² – x + 2

A: Given: I=∫x+1x2-x+1dx For evaluating given integral, we simplify given expression then integrate it

Q: Given (xi , xi2022 i ) ∀i = 0, ..., n, where x0 = −1, x1 = 0, x2 = 1, x3 = 2, ..., xn = n − 1. Write…

A: Given xi,xi2022∀i=0,1,2,...,n  Where x0=-1, x1=0, x2=1, x3=2,..., xn=n-1

Q: Show that (m) (2n 4n n

A: As n → ∞, By Striling approximation formula n! tends to  sqrt(2 pie n) (n/e)^n

Q: Construct the addition table for Zs. Using this table, or otherwise, determine the following x in…

A: Solution:

Q: Ž ( – 1)"x" 1+x

A: Given the power series

Q: (-1)" (n+ 2) 2n+1(n + 1) Compute the exact value of

A:

Q: 5-1 2 Compute A-613 and (613)A, where A = -3 -3 A-61₂ = 3-7 1 1 www

A:

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.