Why the set of rational numbers is not complete ordered field ?

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

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Q: {-(3-2) for 0 < x < 1, for 1<x<3. Compute the Fourier sine coefficients for f(x). . Bn= Nπ Give…

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Q: Use the RK4 method with h = 0.1 to obtain a four-decimal approximation to the indicated value. y' =…

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Q: (7) to transform the integrand into a rational function of t and then evaluate the integral.…

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Q: 5 Let G be a group of order p2q, where p, q are prime numbers, and q # 1(modp), p² # 1(modg). Prove…

A: Given: G has order p2q To find: G≅ℤp2q

Q: 9. Suppose only the top 20 % of marks on a university entrance exam qualifies an application for…

A: Here we can use normal distribution to find the minimum marks to be in top 20%. If x are minimum…

Q: Problem 3.2: Let the p.d.f. of the continuous random variable X be the expression below. Compute:…

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Q: Find the relation between backwards finite difference and average operator.

A: The forward difference operator is denoted as ∆. The backward difference operator is denoted as ∇.…

Q: 1. For the functions f(x) = 2+x and g(x)= 15 – 1.5x a) Find the first quadrant area bounded by the…

A: We know that the equation of the x-axis is y=0 and the equation of the y-axis is x=0. We have to…

Q: EX. 29 Give the Cayley table for the group Z2 under multiplication modulo 12.

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Q: 2) A medicine company has a total profit function P(x) = − C x² + B x + A, where x is the number of…

A: By putting the values A=20,  B= 0270,  C=270 in given profit function we get p(x)=-270x2+270x+20 We…

Q: 10x11+100-1000+1,000,000x100

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Q: artian and hector both dive from a boat to the location shown in the diagram. Find the distance…

A: Martian and Hector both dive from a boat to the location. The distance between them is determined…

Q: (2 − x²) y" + 2xy' – 2y = 0 (a) Verify that y = x is a solution to the above equation. (b) Find the…

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Q: 30

A: In the first triangle, we have The angle, θ=45°And in the second triangle, we have The angle,…

Q: Convert the following degrees to radians. a) 30° b) 175° c) 150° d) 315⁰

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Q: In class, I hinted that normal multiplication (of numbers) is commutative and that matrix…

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Q: Let A, B, C be arbitrary finite sets from the same universal set U. - (a) Is it true that A - B C (A…

A: A-B represent set of elements which belongs to A but does not belongs to set B

Q: (2) Explain why the rational numbers are those having periodic representation or with- out infinite…

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Q: Consider the two functions 2x+1, for x < 0 1 f(x) = and g(x) = (x - 1). 1-x², for x ≥ 0 2 a) Sketch…

A: Note : Area of a closed bounded region D is given by the double integral  I=∫D∫dA

Q: Let D be the region enclosed by y = sin(x), y = cos(x), x = . revolving D about the x-axis is: I…

A: Introduction: The Shell Method is used to calculate volume by breaking down a solid of revolution…

Q: H.W: Estimate the root of the equation for the followin Raphson method: 1. f(x) = x + ln x - 2 xo =…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: (a) Derive the frequency-domain convolution of a spectrum M(w) =rect () and a spectrum G(w) =…

A: As per the question we are given two frequently domain spectrum : M(ω) = rect(ω/B)  ,  G(ω) =…

Q: The prism is bisected by the xz-plane. The point P = (5, 4, 5). Determine the equation of the plane…

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Q: Solve for the following: b. A21 a. M23 j' -2 4 c. B-¹ 3/ -/5 sin j5 In(-1) 3-Inj 1

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose £5000 is invested for five years. Calculate the amount accumulated at the end of five years…

A: given, Invested amount (P)=5000 Time period (t)= 5 years and the interest is compounded contiuously…

Q: rix is A = onto R³ 1-2 3 - 1 8 34. Determine whether th 6-6

A: Follow the steps.

Q: For items #1 to #10 Use bisection method in solving for the root of a function e^(-x) - tan x = 0.…

A: As per company guidelines i am completing first five rows of the table you can complete rest of rows…

Q: 4. The order of 5 in the group (U(14).-14), is (a) 1. (b) 2. (c) 3. (d) 6. 5. The group (U(14),-14)…

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Q: The population of a state is known to grow at a rate proportional to the number of people presently…

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Q: uppose (X,≺) is a well-ordering. Then (X,≺) is not isomorphic to (pred(X,≺,x),≺) for any x ∈ X.

A: Set theory

Q: (i). There is a simple group of order 2021.

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Q: Suppose we want to obtain a root of x-x-10 = 0. We can rewrite it as x = √√x + 10. If we use the…

A: Here we will use fixed point iteration method to find roots of the given equation

Q: Find the maximum value of f(x, y) = 2x²y³ + 7 on the unit circle. (Give an exact answer. Use…

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Q: vertical and horizontal s

A: Given,          y=0, y=4x, y=24-2x, and y=x-4.

Q: Determine the line integral of the differential form (x + 3y²)dx − (−6xy + z)dy from points (1,0,3)…

A: Find the line integral x+3y2 dx --6xy+z dy from points 1, 0, 3 to 0, -1, -1.

Q: The manufacturer of a propeller for a small aircraft rotates at 3600 rpm. The tips are located 8m…

A: In the following diagram, it can be written that l=rθ.      Here, θ is the angle subtended by the…

Q: Solve the boundary-value problem y" + x²y' - 4xy = 2x³ +6x²-2, y(0) = 0, y(1) = 2 by using the…

A: Given that, The boundary value problem, y"+x2y'-4xy=2x3+6x2-2,            1       y0=0, and y1=2. By…

Q: 1 01 Lea A = -681 ;] find the decomposition PA=LU for the na solve the System AXÉ (111)] using the…

A: We can solve this using given information

Q: 2 Let S be the positively oriented surface parametrized by R(u, v) = (u, v, u² – v²) where (u, v)…

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Q: Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros…

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Q: KE Syl-(G). Prove that (a). HG and KG. (U). G has a cyclic subgroup of order 77. Syl(G),

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Q: 3.5.13. Given n = N, let pn(t) = t" for t = [0, 1]. Prove that the sequence {Pn}neN converges…

A: Sequence and collection is one of the simple subjects in Arithmetic. An itemized series of factors…

Q: 2. Find the LU factorization of the following matrices without pivoting 1 2 3 a) A = 2 5 4 354 1 -1…

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Q: Given R = { (x,y) ϵ R | x^2 = y^2, x,y ϵ A } on A = {1, 2, 3, 4, 5}, which of the following…

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Q: Solve the initial value problem. √y dx + (x-9)dy = 0, y(10) = 49 The solution is (Type an implicit…

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Q: in your 10. determine if the following series converge or diverge. Follow the above steps arguments.…

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Q: 16: Shown below are two steps of the process to convert a matrix into Echelon form. 3 5 -2 1 니 7 ㅣ니…

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Q: Suppose you were given a system of equations and found the augmented matrix. Suppose that you put…

A: Introduction: A matrix is stated to be in echelon shape in linear algebra if it has the form of a…

Q: For items #1 to #10 Use bisection method in solving for the root of a function e^(-x) - tan x = 0.…

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