10. Show that for all n E Z, n² – 3n +1 2.

Q: It is given: ||m| = 4; ||= /3; (m,n)=150°. %3D i. Find the norm of the vector m + 2n. ii. Determine…

A: Given, m→=4n→=3m,n^=150° The angle between the vector m→ and n→ is θ=150°.

Q: m=4 , n=5 2 log, 641.B = <+3 = 4 10 1.c=* 2. LetA = 4 4 21 т -7 and D = -1 Find X, if ABT +…

A: Two matrices A=a1a2a3a4 and B=b1b2b3b4 can be multiplied using the rules of matrix multiplication.…

Q: The table shows the number of days on the market for the 36 recent home sales in the city of Sonando…

A: a The frequency distribution of given data is as follows:

Q: Solve the problem given below by using Square Root Method (Cholesky). 6 5 4 3 2 6 5 1 1 X2 [1201 230…

A: given matrix is…

Q: 4. The following data gives the melting points of an alloy of lead and zinc. Percentage of lead in…

A:

Q: (a) A pair of fair dice is rolled by Chandra. i) What is the probability that at least one of the…

A: Given: A pair of dice is rolled by Chandra. The sample space formed will be :…

Q: which of the following functions has a simple zero at z = 1 and an essential singularity at z = -1…

A: We have to check the which of the following function has a simple zero at z=1 and an essential…

Q: Q2) The recording speed of cars driving to arrive the house. The speed limit read 20 mph. These…

A: Given, μ = 23.84σ = 3.56n = 10The speed limit is 20 mph       To find, a. Which would be more…

Q: Consider the following problem: ay" + 2ty' = e', t € [0,1] у (0) — 1, y (0) = -1, with h = a) Write…

A: Given differential equation is y''+2ty'=et ; t∈0,1              .......1 with initial equations…

Q: 0 <x < 9, 0< y < 4 x), u(x, 4) = 0, u(0, y) = 0, u(9, y) = 0. %3D

A: Given:     uxx+uxx=0       0&lt;x&lt;9       0&lt;y&lt;4u(x,0)= 8 sin (6π9)    u(x,4)=0,  u(0,y)=0…

Q: A game consists of the following rules: You draw a card from a standard deck of cards. You will win…

A:

Q: A farmer can buy four types of plant food. Each barrel of mix A contains 30 pounds of phosphoric…

A:

Q: 4) Suppose that x thousand units of a product will be sold when the price is p(x) = -2x + 31 dollars…

A: Please see the explanation below

Q: poth telling the truth, then so is C", B "If C says s telling the truth, then A is lying", and Č…

A:

Q: Let g(x) - / Re)at, where f is the function whose graph is shown. f (a) Evaluate g(0), g(3), g(6).…

A: According to the graph of g(x), We have , g(3)=6 ( For x=3 , y-coordinate is 6)g(6)=12 ( For x=6 ,…

Q: Problem 7. Suppose that xn 2 0 for all n E N and that lim ((-1)"xn) exists. Show that (xn)…

A: Let lim -1nxn=1 Therefore, For ε&gt;0 ∃ k∈N such that -1nxn-l&lt;ε2 ∀ n≥k ⇒xn+l&lt;ε2 ∀ n≥k, and n…

Q: The percentage of residents of a certain country who use the Internet can be approximated by the…

A: We are given with the function which gives the percentage of residents using internet service at a…

Q: If 1 cups of a cereal weigh 2 pounds, how much does 1 cup of the cereal weigh? Solve this problem…

A:

Q: An individual's income varies with age. The table shows the median income I of individuals of…

A: Rewrite the given information as shown below, Class mid-point (x) Median income (I) 19.5…

Q: Weary travelers arrive at Will Rogers International Airport, pick up their luggage, stumble to their…

A: The average arrival rate of customer is given by: Average arrival rate=6025=2.4 per minute The…

Q: The inverse Z-transform of the function x{z): for (1+2 (2-2)

A: Given, x(z)= 11+z-12-z-1 for ROC 12&lt;z&lt;1 Now,         x(z)= z2z+12z-1 Using partial fraction,…

Q: If n is a product of twin primes, then a) Ø(n)o(n) = (n – 1)(n – 3) b) ø(n)o(n) = (n + 1)(n – 3) %3D…

A: If n is a product of twin primes, then a)  ϕ(n)σ(n) = (n+1)(n-3) b)  ϕ(n)σ(n) = (n+1)(n-3) c)…

Q: Graph the following function and then find the specified limits. When necessary, state that the…

A: Given fx=x-1  if x&lt;21        if 2≤x≤7x+4  if x&gt;7

Q: 8. Altogether, three recipes call for 4 lbs of butter. Recipe A requires as much as both recipes B…

A: Given - Altogether, three recipes call for 4 lbs of butter. Recipe A requires as much as both…

Q: A toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4 ounces of…

A: Given - A toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4…

Q: Problem 2.9. In a certain survey of the work of chemical research workers, it was found, on the…

A: Let the number of fume cupboard required per person be x Then, according to Question. x=0 x=1 x=2…

Q: I3/2(X) = (2/Tx)/( cosh x- sinsh x/x) %3D Select one: O True O False

A:

Q: If f(2) = 16, f'(2) = 2, g(x) = xf(x) – 4F(x), then find g'(2) %3D %3D %3D a. 19 b. 22 O c 13 O d.…

A:

Q: The cost of placing a full-page colour advertisement and the circulation figures of nine magazines…

A: (a) Here cost is the dependent variable and circulation is the independent variable. Since if the…

Q: Find y as a function of t if 9y" + 12y' = 0, y(0) = 3, y'(0) = 3. y = 3e^(-4/3t)+3

A:

Q: Construct a formal proof of validity for following arguments: 1. (J AK) → L 2. J → L) → M 3. ~K v N…

A: Given:-           1.    J∧K →LJ∧K              J          K     J∧K                       T…

Q: Consider the data given in the following table 0.45 0.46 0.48 0.50 0.51 0.53 0.54 0.56 f(x) 1.182…

A: The central  difference formula to approximate f'a is: f'a≅fa+h-fa-h2h Here, a=0.5 Take, h=0.04

Q: Given: 22 3: 1 and 2 form a inear pair Prove: 1 and 23 are supplementary Statements Reosons 1.2 3 1.…

A: (Question 2)Given Figure- Given Information - ∠2 ≅ ∠3 ∠1 and ∠2 form a linear pair. ∴ ∠1 + ∠2 =…

Q: 7. If you were going to hike to the top of the pyramid of Khufu, Which route is less steep, via h or…

A: Consider the given diagram. As in the given figure, the height is 147 and the base of the length is…

Q: Consider an iterative method Ik+1 Mak + b . Construct a 3 x 3 matrix M p(м) > 1 with Find another…

A: