Give a preference table with 28 voters and three candidates A, B, C giving a violation of the Condorcet Winner Criterion by the Hare method. Justify your answer.

Q: Show that f(x) := x/3, x e R, is not differentiable at x 0.

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Q: Solve y+2+ 2yn++Y =n with Yo 0 = y,.

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Q: 3. Identify the missing rules in this argument that supposedly shows that if Vx (P(x) V Q(x)) is…

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Q: Do not use a calculator in this question. V8 V7- V5 (a) Express in the form va+vb, where a and b are…

A: (a) We will express 87-5 in the form a+b, where a and b are integers

Q: Q1. Solve the IVP by finding appropriate integrating factor an (x² + y² – 5)dx – (y + xy)dx = 0,…

A: Consider the given differential equation Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x The solution…

Q: If your electrical repair bill, was $1780. This included $940 for parts and the remainder an amount…

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Q: Find the solution. ху'+ ху - 1- у. у(1) %3D0

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Q: 4e-2s 1. Calculate the inverse Laplace transform C-1 J (-2s – 4)e¬³ s2 + 6s + 25 (s + 1)3 2. Solve…

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Q: Solve the following heat flow problem: 3uxx, 0< x < T, 0<t <∞ u(0, t) = u(n, t) = 0,0 < t < ∞ u(x,…

A: Using separation of variables and superposition principle and Fourier sine series.

Q: 8. (Liouville's theorem, Cauchy estimates and the maximum modulus principle) (a) Suppose that f is…

A: (a) Given that, fz is an entire function Thus, we can write the fz as a power series around zero,…

Q: Find a root of an equation f (x)= –2x3 + 2x + 5 initial solution x0=1.5, using the Newton Raphson…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

Q: 19. Prove that Edin H(d) log" d = 0 if m 1 and n has more than m distinct prime factors. (Hint: use…

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Q: (b) Find the z-transform of f(-÷)` ux given that Z{ux} z-1

A: Z transform of the function

Q: dy 2. Solve the differential equation dx? dy +3- - 10y dx dy = 1 and dx 2 at x = 0 using = 10 when y…

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Q: 1: Find Z by convolution theorem. (z- 2)

A: convolution theorem

Q: The sum of the first n terms of an arithmetic progression is given sn = 7n2 - 8n. Find  first term…

A: We have the sum of first n terms is sn=7n2-8n Now, the first term is a1 and this is equal to the sum…

Q: Solve the following Diophantine equation. 25x + 13y = 2

A: In this question, the concept of the Diophantine equation is applied. Diophantine equation A…

Q: Relate the concept of Laplace Transform to solve the following problems. A. Compute the Laplace…

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Q: Find the dimension of the splitting field of each of polynomials, 1. x^4+1 2. x^4-2

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Q: 3 f(x) = x° – cos(x) Solve this question by the Newton-Raphson method on the topic of solution of…

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Q: Consider a mini-web as a dynamical system. Let A be the coefficient matrix of this system and a be a…

A: In linear algebra, eigenvalues and eigenvectors are linked. In the study of linear transformations,…

Q: 2 Use Newton's interpolating polynomial to determine y at x%=D8 to the best possible accuracy.…

A: To find- Use Newton's interpolating polynomial to determine y at x = 8 to the best possible…

Q: Determine whether the following series converge or diverge by using any appropriate test: 1+ k4/3…

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Q: Solve the differential equation by using the separable equation method 2 dx -sin 2t = 3 7 dt

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Q: Find the Elasticity function E(p) = Find the Elasticity of Demand at a price of $3

A: Introduction: The formula of the elasticity function of the demand function is given by,…

Q: Cos z Residue of cos. at z = 0 is %3D 1. 1 -1 3. 2 4. 0 2.

A: The residue of a function: f(z) at z=a is defined as Resz=af(z)=limz→az-af(z).

Q: (a) State if the following are True or False. You need not show any working. (i) The period of f(t)…

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Q: Solve the following heat flow problem: 3uxx, 0< x < Tt, 0<t <∞ u(0, t) = u(nt, t) = 0,0 <t <o u(x,…

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Q: Find the solution. y'+ ty = ty3 y = (1+ce*) A 2 B y = (1+ce') 2 y-2 = (1- ce") C 2

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Q: . Write the equation of the line that represents the linear appro

A: Given,        f(x)=(64+x)-13; a=0; f(-0.1)

Q: Which of the following subsets of P2 are subspaces of P2? A. {p(t) | S P(t)dt = 0} B. {p(t) | p(2) =…

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Q: 2 1 D = t+3 dt 2t + 1

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

Q: Consider the following nonhomogeneous linear differential equation, y" + y' +y = 4e" (cos(x) –…

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Q: 4 I. dx3, (d³y\ dy + 2- dx = sin x *+ O) + = In y. 3 II. dx dx dx d³y III. dx3 d²y , dy -2 + dx2 = x…

A: To identify which of the given differential equation is linear.

Q: or converges conditionally: kl 2) Σ- Sk - k + 4 k +1 k=1

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Q: c) Show that the vector field W(x, y, z) = (2yz+ xz – x², –2xz – yz + y?, y² – x² + z²) - - is a…

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Q: Determine the sum of the series п(п + 2) n=1 if possible. (If the series diverges, enter 'infinity',…

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Q: 1 In (1+) dt F G t2 In³ (t) dt 1 H t3e dt ||

A: Solving following integral equations

Q: A population is initially 50 and is known to decline at a continuous rate of 2.17 % per year.…

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Q: Check the continuity and differentiabilty of f (x) = |x − 1| + |x − 2| at x = 2.

A: Given :  The given function is ;  f(x) = x-1 + x-2 To find : We have to check the continuity and…

Q: Find the solution. (D2 +D- 6)y = 0 A B D

A: Given that D2+D-6y=0 To find its solution.

Q: Find the number of right hand plane roots in each polynomial Csse II: J6) = S'+ 45°+45+165 +5 %3D g8…

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Q: erge or diverge by using any appropriate test: c) E(-1)kk - 1 k2 +1 100 cos(kn) d) E 2k + 3 k=0 k=0

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Q: Suppose A is 17x17 matrix with A^29=0 Then A^17=0.

A: Here given that A is 17×17 matrix and A29=0.

Q: Find the solution. xy'- xy = 1- y, y(1) = 0 A y --(1 - el-) © y -1+ el+")

A: Solution of the differential equation

Q: 2. Determine the Fourier cosine series for the following functions: 3 – 2r? +1 for 0<I<a 7 for…

A: If f(x) is an even function with a period {\displaystyle 2L}, then the Fourier cosine series is…

Q: 4. Consider the following boundary value problem for y(x) on 1(-2, 2]: (*) y" + 6y + dy = 0, y(-2) =…

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Q: 2. The table below shows the activities involved in a project and their immediate predecessors.…

A: We will draw the network depending upon the project activity in the next step

Q: 4. Complete a truth table for the statement ¬(P AR) → Q Are the statements P -O ARand-Pv (-0 A R)…

A: Truth table

Q: Find the Singular solution of z%3D рх + qy + р2 — q2

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