Find the edge chromatic number of Kn when n is positive integer.

Q: Which random graph G(N, p) has (k): = 100 and variance o² of the degree distribution given by o² =…

A: Given, that the average degree of a graph is  andthe variance of the degree distribution is .It is…

Q: 5. Solve the one-dimensional wave equation for a string of length 10 units, fixed on both ends, with…

A: The wave equation is ytt=a2yxxGiven conditions:a=3y(0,t)=y(10,t)=0y(x,0)=x , yt(x,0)=0

Q: Let \( g \) be a bounded function on [0,1] and assume that the restriction of \( g \) to the…

A: Below solution was explained in detail.by carefully choosing a partition and utilizing the…

Q: [10 For the matrices: M = 0 0 1 0 1 0 and N = [1 1 100 0 1 a) List the corresponding ordered pairs…

A: The given matrices are .We need to find the corresponding ordered pairs in the relations on .We know…

Q: Please don't provide handwritten solution...

A: Here are the final answers: Part a) Finding Eigenvalues and Eigenfunctions:  Eigenvalues:…

Q: Find UA, and ₁4, where: a. A₁ = {iº, i¹, i²) for every positive integer i. b. A₂ = {2i+1} for every…

A: a. ⋃i=1∞​Ai​ ​ is the set of all non-negative integers.b. ⋂i=1∞​Ai​={1}.Explanation:Let's find the…

Q: STRICLY NEED A DIAGRAM A. Given a certain system that has the following set of axioms: A1: There…

A:

Q: The slope of a line is:  5.32 By how much does the Y-variable change if the X-variable increases by…

A: The objective of this question is to determine the change in the Y-variable when the X-variable…

Q: Hint: Let P(n) be the statement Q(1), Q(2),..., Q(n) are true." Show that the complete induction ste…

A: Suppose we have a sequence of statements P( 1), P( 2), P( 3),......Then the principle of induction…

Q: 7. At the beginning there were 90 milligrams of a radioactive substance. After 3 hours, there were…

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Q: can you explain how they simplified using the chain rule

A: The chain rule is a fundamental concept in calculus that allows us to differentiate composite…

Q: Suppose Var(X) = 96, and a = .45. What is Var(aX)?

A: The objective of this question is to find the variance of the random variable aX, given the variance…

Q: Find the general solution of the given higher-order differential equation. y''' - 9y'' + 15y' + 25y…

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Q: The temperature at point (x.y) on a metal plate is T(x,y)= 196x² - 196xy + 49y². An ant on the plate…

A: The metal point is  at a point .The plate walks around the circle with a radius 5 centered at the…

Q: Activity 1: Write the set whose power set is the following set. {0, {a}} Activity 2: Prove or…

A: The answers are given below.Explanation:

Q: Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile…

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Q: Let Compute θω Əs δώ Ət -(-3,-4) -(-3,-4) = w = -5xy + 4yz - xz, x = st, y = est, z = t²

A: By chain rule, we will solve the problem.

Q: Mitch earns a salary of $35,000 per year as a manager in a call center. Calculate how much he earns…

A: The objective of this question is to calculate Mitch's bi-weekly salary from his annual salary.

Q: 14. Find the Fourier serial expansion of the function f(x)=x+1, for 0<x< π

A: We have to find the fourier series expansion of the functionWe know thatThe fourier series expansion…

Q: Consider following relations on the set of positive integer: R₁ = {(a,b) | a> b} R₂ = {(a,b) | a =…

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Q: Can you conclude that A = B if A,B, and C are sets such that A U C = BUC and An C=Bn C?

A: See below.Explanation:No, you cannot conclude that A = B based solely on the given conditions. For…

Q: Transform the problem of finding mixed strategies into an equivalent linear programming problem.

A: Given information:The payoff matrix is given.Objective:Transform the game into LPP model.Concept…

Q: Suppose that Var(X) = 704.85, Var(Y) = 9161.83, and Cov(X,Y) = 2154.62. What is Var(.97X + .03Y)?

A:

Q: Answer Part B of the question

A: Given the universal set (U = {1,2,3,4,5,6,7,8,9,10}), the bit string for the set {1,3,6,10} would…

Q: Question 1  The process for handling insurance claims at a branch of the Green Insurance Company…

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

Q: Verify that the given differential equation is exact; then solve it. 4 (27x²y³ +y4) dx + (27x³y² +…

A: Given differential equation is .We have to verify that the differential equation is exact and solve…

Q: Let x and y be unit vectors. Find the value of (x-10y) (x+10y) (x - 10y) (x+10y) =

A: Given that 'x' and 'y' be the unit vectors. To find the value of

Q: u= 1 5 -7 " V = 0 -5 -5 og p = 2 2 0 10

A: The equation of the plane passing through a point  and having a normal vector  is given by

Q: Suppose E(X) = 93, E(Y) = 95, a = 0.09, and b = 0.91. What is E(aX+bY)? (Please round to two decimal…

A: The objective of the question is to find the expected value of the linear combination of two random…

Q: 1. Figure 8 shows the preference ballots for an election with 21 voters and 5 candidates. Write out…

A: 1) Given the preference ballots for 21 voters and 5 candidates.We will write the frequency of each…

Q: Decide on the function is uniformly continuous on the interval (0,∞).

A: Decide on the function is uniformly continuous on the interval .

Q: Consider the function given by f (x) = x². Determine the coefficient a of the linear interpolating…

A: We have, xTo find the coefficient a of the linear interpolation function .

Q: (A Calculator is not allowed for this problem) Forming Maclauring Series: Determine the first four…

A:

Q: Given the following partial order, draw a Hasse diagram, find the maximal and minimal elements, and…

A: Summary:-Maximal elements: 7Minimal elements: 2 and 3Explanation:

Q: 2. Consider the function Se=1/x f(x) = { 0 x>0 x ≤0. Graph/sketch this function. Show that this…

A: The function satisfies the Taylor series of 0 + 0 * x + 0 * x^2 + ... = 0, but f itself is not equal…

Q: Which random graph G(N, p) has (k) = 40 and variance ²2 of the degree distribution given by o² =…

A:

Q: The matrix 1 k 0 1 represents a compression with factor k in y-direction a compression with factor k…

A: The objective of the question is to identify the transformation represented by the given matrix [1,…

Q: By using the binomial series one obtains the expansion The value of Cn = ((-1)^n/256) (1/4)^(-4-n)…

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Q: he paraboloid z = 6 - x - x² - 2y² intersects the plane x = 3 in a parabola. Find parametric…

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Q: The polynomial f(x) = x³ − x−3_mod (47) has x₁ = 10 as a root. Use Hensel's Lemma to lift this root…

A: Given Information:The polynomial  is given as .The one of the roots is given as .To find:The lifted…

Q: Does the graph below has a Hamiliton Path? If so, find such a path. If it does not, give an argument…

A: The objective is to find a Hamiltonian path.

Q: 5 Deancorp produces sausage by blending together beef head, pork chuck, mutton, and water. The cost…

A: Given:HeadChuckMuttonMoistureFat (per lb)0.050.240.110Protein (per lb)0.200.260.080Cost (in…

Q: 1, t, t2, t3,   , tn     where  t ≠ 0,  satisfies the given recurrence relation (but not necessarily…

A:

Q: n i ·Ë (5 + ¹)^² zn. n=0 6. Consider the power series (a) What is the radius of convergence of the…

A: The answers are as follows:6. a. Radius of convergence is 132​​. b. Disc of convergence is…

Q: (a) Let F= 2xz2i+j+xy³zk and f(x, y, z) = x²y. Compute the following quantities: (i) Vf (ii) curl(F)…

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Q: Line 1 is defined by slope m = -2 and y-intercept c = 4 . Line 2 passes through the points (x, y)…

A: See the Explanation section Explanation:(a) Line 1: m=-2; c=4Slope-intercept form: y=mx+c Line 1:…

Q: : 8. Solve the differential equation: y' - 8y' + 16y= 16e²*, subject to y(0) = 0 and y(0) = 0. Using…

A: We are to solve the differential equation using variation of parameter method subject to y(0) = 0 ,…

Q: Let R be the relation on a set A = {a, b, c, d} defined by R = {(a, a), (a, b), (b, b), (b, c), (c,…

A: The given relation  on a set  is defined as follows..We need to find .

Q: Find the inverse Laplace transform of F(s) 4 S-2 + 7s - 18 s² +9

A:

Q: The left, right, trapezoidal, and midpoint rule approximations were used to estimate =f²r f(x) dx,…

A: To solve this problem, we need to analyze the behavior of each numerical integration rule (left,…