-n n² + + 25' n=2 8

Q: -4-7+7Xe Please fill in a question quickly within a quarter of an hour

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Q: (a) Suppose that the squared matrix A is symmetric and all its eigenvalues are different. Show that ...

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

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A: To evaluate∫01∫y131sin(πx2)x2 dx dyx= y13y = x3  

Q: Find the g.c.d. in Z [i] of 2 and 3 + 5i.

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Q: Find all complex numbers z of the form 2 =x+iy such that that ZZ = = 25 and *+ y = 7.

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Q: Use Euler's Method to find a numerical solution of the differential equation dy y 3+ dx With initial...

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Q: 3.1.6. (-) Let T be a tree with n vertices, and let k be the maximum size of an indepen- dent set in...

A: Given, Vertices of the tree, T =n Maximum size of independent set in T = k To find : α't  

Q: 2. Let the rref of a matrix A be, 1 0 2 0 -2 0 1 -5 0 -3 0 0 1 6 Determine A if the first, second an...

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Q: Determine whether the following series converges, and if so, find its sum. 1 ( a) Σ 271 (n + 1)(n + ...

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Q: Consider the weighted voting system (25: 26, 11, 7, 4, 3}. Are there any players that are dictators,...

A: Given weighted voting system is  25:26,11,7,4,3

Q: QUESTION 1 Compute the area of the shaded region. f(x) = 2 2. 4. 24 256 16 8

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Q: e) If Ай — and Av = 4 -3 4 then А (2й — 2й) — Are the following statements helpful? ? Proposition 3....

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Q: 2. Given the following weighted voting system [78: 24, 40, 14], is there a dictator? If so, which pl...

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Q: [o Let A be a 3 x 3 diagonalizable matrix, P = 1 -1 Lo [2 0 P-1 =| 3 0 -2|,D = |0 0 lo o 1 1 -3 0 3 ...

A: If P-1AP=D, then it can be written that PDP-1=A.  It can also be written that: PDnP-1=An. For a diag...

Q: Questions Q1. Find the volume of the solid that is obtained when the region enclosed by the curves y...

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Q: Let u- (1-50) and v=(2,0,-1). Then by Cauchy-Schwarz Inequality: * Ju.v| = V130 O None of these the ...

A: Given we have to u = (1, -5, 0) and v = (2, 0, -1) To find - by using Cauchy Schwarz inequality we h...

Q: 7. Let z be a root of the polynomial p(z) = (z + 1)" + z". Show that %3D 1 Re z = - 2

A: For the solution follow the next step.

Q: 4. Use the Laplace transform to solve the IVP a" + 4x' + 4x = 4e24, r(0) = 0, r' (0) = 1.

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Q: Prove that every group of order 330 is not simple.

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Q: If the sum of seven consecutive integers is zero, what is the biggest of the seven integers? x, x + ...

A: Let the consecutive integers be x, x+1, x+2, x+3, x+4, x+5, and x+6. Then,         x + (x+1) + (x+2)...

Q: Use Horner's method to evaluat P(x) = 2x – 3z? +3x -4 at xo = 2

A: Horner's method (also known as Nested scheme) uses synthetic division to evaluate the function: y=f(...

Q: NAL 22

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as ∫0∞e-...

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A: Time from 7:15 am to 10:15 am is 3 hours,  Total distance is 210 km  The average speed of the bus is...

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Q: Astronomer Edwin Hubble postulated a relationship between the distance between Earth and the velocit...

A: Distance (Mpc) Velocity (km/s) 51.8 4,590 12.2 1,234 271 17,695 46.2 3,752 58.2 5,118 46...

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A: We want to find given integral.

Q: -> 一→ In the diagram OAB is a triangle with OA= a, OB=b and OA= OB %3D -> -> If Mis the midpoint of ...

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Q: 2-Simplify first, then determine the exact value. (sin7n/24 + cos7a/24)2

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Q: [x1(t)] [¤2(t). Let x(t) = be an unknown vector-valued function. The system of linear differential e...

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Q: 2.x – 3iy + 4ix – 2y -5–10ix =x+ y– iy +2– (3 – x)i D. Find real numbers x and y such that

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Q: Prove that every group of order 675 has a normal Sylow 5-subgroup.

A: Theorem: If number of Sylow p-subgroup of a group G is unique, then that subgroup is normal. Let G b...

Q: The sports association in charge of a tennis event has to set ticket prices. Its fixed costs are $40...

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Q: 1 [1 0Sx<1 If f(x) = find the (a) Fourier sine transform, (b) Fourier cosine transform of f(x). x21 ...

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Q: for x 1 Discuss the contuniuty of f andf".

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Q: Suppose we randomly select a subset of positive integers. How large must the subset be, if we want t...

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Q: Find two power series solutions of the given differential equation about the ordinary point x = 0. y...

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Q: s+7 s2-3s-10

A: If the Laplace transformation of the function: y(t) is Y(s), then it can be written that Ly(t)=Y(s) ...

Q: Solve, 3 5 2 1 8 -8 7 4 1 - 5 0 6 3 4 det

A: Given matrix is A = 43520189-8741-5063

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Q: Let V be a vector space of dim 3 over R let T : V → Vbe a Linear Transformation 1. -1 given by the m...

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Q: Calculate the results of the following expressions using the MATLAB Command Window. -3 (a) T - 1 (b)...

A: % MATLAB CODE(Command Window) :

Q: 1 dx sco e de Q5: Solve the following differential ? cac@ »x(n/2) = 3 equation, x2 csc 8

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Q: Prove that if gcd(a, b) = 1 and gcd(a, c) = 1, then gcd(a, bc) = 1. %3D

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Q: Use the Banzhaf power index to determine the power index for each player. Consider the voting system...

A: Consider the voting system 18:9,6,3,3,2.  

Q: y'47y'+12y = 2le", y(0)=,0)=-10 .

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Q: Writing logical notations to compound statements Let p: Man is rational. q: A century is 100 years. ...

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Q: Solve the equation both algebraically and graphically. (Round graphical solution(s) to two decimal p...

A: The given equation is 2x+12x=7 solve algebraically 2x+12x=714x=7x=714x=12  

Q: 5. Find the solution of the differential equation y"(t) - 3y'(t) + 2y(t) = 4 y(0) =y'(0) = O using L...

A: Given differential equation is y''(t) - 3y'(t) + 2y(t) = 4 with y(0) = y'(0) = 0

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A: Peter bought a car which cost Php. 780,000. After using it for 3 years, we have to find the current ...

Q: 3. Find the solution of the following differential equation by Laplace transform with initial condit...

A: Here given as ∫0tytdt=dytdt ......1,  Since F0=1 is the initial condition then it should be y0=1.