Is it true that, if k > n and B is full rank, then rank AB (ii) = rank A? Justify your answer.

Q: show that is strictly increasing or strictly decreasing. n=1

A:

Q: 4. Show that if ki = (X; – X)/[Σ(X; – Χ)2], then (a) Σ ki = 0; = (b) Σk? = 1/[Σ(X - X)]; (c) Σk;(X;…

A:

Q: Show that (k^2 * (k+1)^2)/(4) + (k+1)^3 is equal to ((k+1)(k+2)/2)^2

A:

Q: A company manufacture two different types of call phone Fand E, each unit of call phone S costs (D•…

A: Let x be number of F type phones. Let y be number of E type phones. Since each F type phone costs…

Q: 5. For k(x) = 3 × - 6, determine kª(8) -

A: To find the required value we need to find the value of x for which k(x)= 8. 4x/5 -6 = 8 4x= 70…

Q: The t-table has entries for areas of 0.10, 0.05, 0.025, 0.01, and 0.005. In contrast, the χ2-table…

A:

Q: 8. Use finite differences method to classify the following relations as linear, quadratic or…

A: In this question, the concept of the finite differences method is applied. Finite Difference Method…

Q: Show that n!> n3 if n is large enough.

A:

Q: 2) Suppose that a fashion company determines that the cost, in dollars, of producing x cellphone…

A: NOTE: Refresh your page if you can't see any equations. . take x=400

Q: a) What are the points you'll choose to find f(3.8) using cubic interpolation, and why? 51 of f12 91…

A: Follow the steps.

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: The order of the element 3 in Z24 is

A: Given: Z24 Formula Used: The order of an element k in Zn is given by Ok=nhcfk,n

Q: Suppose we have L-shaped tiles made up of three squares: Prove that for all n > 1, it's possible to…

A: Suppose we have L shaped tiles Prove that for all n>=1 it's possible to lay these tiles down to…

Q: n is increasing, and those on w 3x + 5.

A: Introduction: The input values of a function f(x) where f(x) has minimum or maximum values are…

Q: Is it true that if a, < b, for all nE N and E-1 a, is divergent, then E-1 bn is divergent? If false…

A: Given: an≤bn for all n∈ℕ To check that if ∑n=1∞an is divergent then ∑n=1∞bn is divergent

Q: Consider the set S = {r E Q : r² < 2}. In the land of rationale numbers is there a least upper bound…

A:

Q: Given: 5(x + 2) = -3x - 6 Prove: x = -2

A: 7

Q: If B' is of order 2x3 and BA is order 3x4, then A is of the order T

A:

Q: For n>2, let an=5n/n2-2 determine for which n, |an|< 1

A: For n&gt;2, let an=5n/n2-2 determine for which n, |an|&lt; 1

Q: (b) Expand and simplify in ascending powers of x as far as the term in x" 1+3x

A:

Q: 3 If ƒ (x) = 2 + x, evaluate Σƒ (k+1). k=1

A: We can answer the question as below.

Q: 2 is the graph of f(x) = -2/3 x – 3. -6 -5 -4 -3 -2 -10 1 2 3456 -2 -3 -4 -5 O False True

A:

Q: Suppose a e Z. If a² is not divisible by 4, then a is odd.

A:

Q: a)Show by one combinatorial method that: 2 2 n C) - () - (") 2n +... + 2 n

A: Given information: The following identity is provided: n02+n12+n22+................+nn2=2nn It is…

Q: Find the value of K by determines. |1 2 3 0 1 2- |2 1 3 3 4 3 kl

A:

Q: Suppose that X is a (A -e100, p 3e-100)-BCP. What is P(X(1)X (2)X(3) = 4)?

A: Answer is 4.

Q: Show by two methods one algebraic and one combinatorial that: ΣΗ (E) (-) = (m*") -k=0

A:

Q: Show that E( X - K )2 = var( X) + [E(X) - K]2

A: var(X)=E(X2)-E(X)2 E(a)=a  where a is constant (a-b)2=a2-2ab+b2

Q: Show that E(x-a) = E(x; -x) + n(x- a), squares about a = is smallest. other words, show that the sum…

A: The answer is as follows :

Q: 8. Refer to Example 50.9 for Exercise 8. Exercise 8: What is the order of G(Q(VZ, iv3)/Q)?

A:

Q: 8. Show that, at the n stage of the construction of the Cantor Middle- Thirds set, the sum of the…

A: Cantor Middle-thirds set: It is created by repeatedly deleting the open middle thirds of a set of a…

Q: 1. Show that the number of distinct monomials x"y of total degree < m in F[x, y] is equal to (m +…

A: we only solve one polynomial at a time so please submit questions one by one.

Q: Find a positive number x such that the sum of 9x and is as small as possible. x = Does this problem…

A: Let, the sum be denoted by f(x) So, f(x) = 9x + 1/x  So, f'(x) = 9 - 1/x² &amp;, f"(x) = 2/x³

Q: The t-table has entries for areas of 0.10, 0.05, 0.025, 0.01, and 0.005. In contrast, the ?2-table…

A: The t-table has entries for areas of 0.10, 0.05, 0.025, 0.01 and 0.005 and the χ2-table has entries…

Q: - Give the domain for k(a) in interval notation. x2 + 3x +2

A:

Q: If A3x4 with Nullity(A) = 1, then Rank (AT) = O 1 2

A: Given matrix is A3x4 with nullity(A) = 1

Q: suppose X=N(10, 1.924)Pr(X is less than or equal to 8.5)

A: Given a normal distribution with mean 10 and variance 1.924.the relationship between standard…

Q: even and n > 4, show that rk is an element of order 2 which commutes with all elements of D2n

A: Given, n = 2k is even and n ≥ 4, We have to show that rk is an element of order 2 which commutes…

Q: 4. Show that if ki = (X; - X)/[Σ(X; – X)2], then (a) Σki = 0; = (b) Σk? = 1/[Σ(X; − x)2]; (c) Σκ;(X;…

A:

Q: Suppose X∼N(μ=2,σ=0.5)X∼N(μ=2,σ=0.5)  , then the z-score of x=2.7x=2.7   is choices: 1.4 1.1 1.6…

A: Given  X∼N(μ=2,σ=0.5) and x=2.7

Q: Illustrate the key ideas in the proof of Hall's Matching Theorem.

A:

Q: A project has 75 activities but we have only a partial information as shown below: m activity H,…

A: Clear explanation is given below

Q: For any real number x, x 6| + x > 3.

A: Case I :  x≥6x-6≥0LHS=x-6+xx-6+x2x-62x-3≥26-3≥6&gt;3=RHS

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: Suppose x ~ Uniform(1, 2), and

A:

Q: "8 does not divide x^2– 1 if x is even". prove it directly

A: We need to prove  8 does not divide x2 - 1 , if x is even. OR if x is even, the 8 does not divide x2…

Q: For n>2, let an=5n/n2-2 ,Determine for which n, |an| < 1

A: Given, an=5nn2-2|an|&lt;1 Use the given inequality for an and find the quadratic equation for n and…