(d) utive but no two X's can be consecutive? How many permutations are there, if all three of the Y's have to be consec-

Q: In2 + 5n + 4 lim an = 1 %3D %3D 3n2 + 8n + 8 n-00 1n? In2 5n + 4

A:

Q: 2. Find an explicit formula for аn 3 За,-1+ 10ар-2 and ao %3D 0, ај 3D 7 An where

A: The solution is given as

Q: 6) Suppose z,=4¿ and z,=32 & Z2 Give Z1 7) Give the value of 5! and also show the calculation done…

A: as per our norms we are allowed to solve one question at a time.  Kindly repost the remaining…

Q: Derive u and show that 7 X is biased estimator of 2. Can you modify 7T -X in order to get an…

A: The expected value of X is defined as  μ=∫λ∞x.f(x)dx And an estimator to be unbiased its expected…

Q: 3. Find two elements a and b in Z25 such that a and b are units, but a +b is not a unit. Justify…

A:

Q: EX.2.48: Nine people are going on a skiing trip in 3 cars that hold 2, 4, and 5 passengers,…

A: Total People = 9 Cars can hold 2, 4 and 5 passengers respectively Possibility of sharing the cars…

Q: diverges because an > 0. for all n 2 1. 2n + 1 True False

A: Given: The statement "an=n2n+1diverges because an>0 for all n≥1." To determine: Whether the given…

Q: (a) an = }(n² + n). (b) an = 2an-1 – an-2 with ao = 0 and aj = 1. (c) an = nan-1 with ao = 1. %3D

A:

Q: Q5: Define nilpotent element. Are 1 and 3 nilpotent elements of Z9?

A:

Q: What is the value of Z if only 1.5​% of all possible Z values are​ larger?   The value of Z if…

A: From the provided information, The value of Z needs to be calculated if 1.5% of all possible Z…

Q: 3. Prove the Archimedean Property, if x ER. then there exists K E N such that r SK.

A:

Q: (27) Let X = P(2) and - E(5-5x) find 2.

A: The properties of expectation an variance is E(aX+b)=aE(X)+bvar(aX+b)=a2var(X) 27) The expectation…

Q: 3. If the following two permutations P, and P,r-1 are equal, solve for r.

A: Given that, 5Pr   and   6Pr-1 are equal. And we have to find the value of r.

Q: The characteristic of Z5[x]/ is O 3 5

A:

Q: 2 Delermire if fW=x s is even, odd neither.

A: As we know that a function f(x) will be  1. even function if f(x)=f(-x)  2. Odd function if…

Q: -In2 2e® cosh 0 do -In 4

A:

Q: 3V Show that there dã do not exist two real numnbers which add to 7 and multiply to 13. It is not…

A: our objective is to conclude the result

Q: a) Describe the series of transformations to transfrom AABC onto AA'B'C".

A:

Q: 12. Start with the identities x2 1 P, (x) = xPn-1(x) + *P(x) n P, (x) = xP-1(x) + nP,-1(x ) (a) Show…

A:

Q: 28 + 58 lim z-5i z7 – 54iz3

A:

Q: Show that E [(X-µ)^n]=0 for ∀n, with X~N(µ, σ²) and n≥3 being odd numbers.

A: We need to show; E[(X-μ)n]=0 for ∀n and n≥3 being odd numberswhere;X~Normal(μ,σ2) That is, we need…

Q: 2. Let, a1= 3 and for n ≥ 2, an = 2an-1 + 1, express an in terms of n. for n ≥ 3, an = 2an-1+ bn-1…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS. WE ARE ANSWERING ONLY FIRST QUESTIONS FOR YOU AS…

Q: 5.7.4. Show that the two formulas (r = y) and (S(r) = Š(y)) in N.

A: Hi, since there are 2 questions given, the first one is answered.  Given - The formula  x=y To prove…

Q: Show that for all n e Z, n? – 3n +17 2. -

A: Given: For all n∈ℤ, n2-3n+1≠2

Q: - Fact Formula for the Chi-Square Goodne ce their an (0 - E) X = = E Momon ngual to the number of…

A: We have given chi square statistic formula for goodness of fit test and we have to select correct…

Q: two positive iontages and bare by 2, them prove that. (2° +1) is most divisible by (2²-1) let a with

A:

Q: If m*n Denofes -3伝 + Find the 2mn?

A: Given that m*n=2m-n2 therefore -3*5=2-3-52

Q: 1. Find r (-) and r (-)

A: We can answer first question as per the honor policy. Please resubmit the other question on by one…

Q: 8. ) Find the smallest values of x and y such that 27

A: Given query is to find the smallest value of x and y.

Q: O If z-frxy) show that つる

A: As per our guidelines we are supposed to answer only one question. For the solution of the problem…

Q: ( Σα - xi-1) = x = x for n > 2. i=2 11 IDDLE: following "proof" th

A: Given that c, x1, x2, ..., xn, y1, y2, ..., yn are 2n+1 given numbers.

Q: Use Gauss's trick to determine H(n)=1+5+9+13+...(4n-7)+(4n-3)+(4n+1) I got n(4n+2)/2 is this…

A:

Q: 5. Find the v alue of x. 5x – 4 x + 6

A: Given :    To determine : The value of x.

Q: Rewrite -5sin(x)-6cos(x) as Asin(Bx+C) (B  (round A & C to 2

A:

Q: The characteristic of Z5[x]/ is

A: Introduction: Suppose, Rx be a ring of polynomials and Px be any polynomial. If there exists an…

Q: Using Wilson's Theorm, Fermat's Little Theorm and The Pollard Factorization Metod how could I solve…

A: We have to find the remainder when 7·8·9·15·16·17·23·24·25·43 divided by 11.

Q: 17) wheat is dhe ra dius of covegone corvegence 3"n! (x-4)" Given い= 5" (url)!

A:

Q: 3. Let, a1 = 3,az = 4 and for n > 3, an = 2an-1+ an-2 – 5, express a, in terms of n. %3D %3D

A: An arithmetic progression is a sequence of numbers such that the difference d between each…

Q: 3 Reverse the order of whyndien of ? X (6x-2) dyds x- 4

A:

Q: 3 and for n > 2, an = 2an-1+5, express an in terms of n. 1. Let, a1

A: The solution is given as

Q: 4 and for n > 3, an 2an-1 + an-2 + 5n, express an in terms of n %3D 2. Let, a1 = 3, a2

A:

Q: (ii) Find the rank and nullity of the

A: given matrix A=20464-7201-5247-92-4 to find the rank and nullity of the matrix

Q: If det A= 0 why is det A+ = O? If A has rank r, why does A+ have rank r?

A: Given Data det A=0   Suppose the column and row of the matrix are linearly independent. The matrix…

Q: #02:-Discuss all the cases of reducible to hamggenou D.E form.

A:

Q: Let A={(-1)" Find sup A and inf A. Provide some explanations how you got their values or why they…

A:

Q: Show that yn Z, if n³+5 is odd then n is even

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.