C) Explain why there cannot exist a simple graph of order 11, where the vertices have degrees 1, 1, 2, 2, 2, 2, 3, 4, 4, 6, 6.

Q: Evaluate: P(4,2)

A:

Q: There are 10 doors to a coliseum. In how many ways can a person go in and out if one can enter any d...

A: There are 10 doors to a coliseum . A person can go in in 10 ways.

Q: In how many ways Jane, Liza, Karen, Lea, Jamie, Andrea, Nicole, and Jazz can be seated in a round ta...

A: There are 8 persons  So total number of ways by which they can sit =8!  8!=8×7×6×5×4×3×2×1 =40320.

Q: Let F(x , y , z) = g(y) + h(z) + 5 In(x - 2) , where g(y) and h(z) are differentiable functions of s...

A: If a function is a function of more than one independent variable then the derivative of this functi...

Q: Find the number of ways a president, a vice president, and a secretary can be chosen from among Aaro...

A: This is a problem of combinatorial, Finite Math.

Q: Please answer if the following statements are True or False 1) if E is an elementary matrix, then 2...

A:

Q: A sari-sari store owner wants to display 20 pieces of different canned goods in a row on a shelf. Co...

A:

Q: ② fexコ=メ0Sのと

A: Given we have given a function f(x) = x2,  0≤x≤2π we have to find Fourier series for this function w...

Q: Exercises - Cryptography 2 Score: 14/20 7/10 answered Question 9 Alice has shared that her RSA publi...

A:

Q: 3. Consider the system of first order ODES (in matrix form)

A:

Q: A competitive firm's profit is given by T(x,.x2) = 95(4x2 + 6x}")- 4.75x, - 15x2. %3D The stationary...

A: To find stationary point of a function fx,y, we have to find fx and fy. Then we put fx=0 and fy=0. F...

Q: a. If f(x,y) is convex with respect to (x,y) and C is a convex set, show that g(x) = infyec f(x,y) i...

A:

Q: a) Is f is one-to-one? If yes, then explain why. If not, then provide a counterexample. b) Is f onto...

A: This is a problem of set/function.

Q: The product of two numbers is 24. Find the numbers if (a) the sum of the two numbers is minimum, (b)...

A:

Q: 2. For a given function f(x) -(x – 2)2 + 6 a) Axis of symmetry : x= b) The vertex (h,k) is: c) Maxim...

A:

Q: The auxiliary roots of the following differential equation y" – 2y' + 5y = 0 are 3- 3+V29 d = 12 = -...

A: We have given the differential equation, y'' - 2y' + 5y = 0 Here , f(D)y = 0 , where f(D) = D2 - 2D ...

Q: Prove that if n is a triangular number, then so are 9n + 1.25n + 3, and 49n + 6. Hint: Recall that i...

A: Triangulars numbers are those which are of the form k(k+1)/2 and some examples are 1,3,6,10,15 and s...

Q: \How many ways can Mr. Cinco distribute 12 different books among 4 students (A, B, C, D) such that s...

A:

Q: 3. Consider the expansion of (x + 2)°. a. Write the full expansion using the binomial theorem. b. Fi...

A:

Q: 2. Solve the following inequalities algebraically. a) -(5x – 9) > 8x – 30 6x+1 b) 9-x c) 10 < 3(2x –...

A:

Q: 4. Consider the linear transformation f : R3 –→ R³, ƒ(x) = Ax, given by the matrix [1 0 a 0 1 b 0 0 ...

A:

Q: 3. Find the number of non negative solutions to x +y + z + w = 21.

A:

Q: 21 a- Given below are the parametric equations and parameter intervals for the motion of a particle ...

A: Introduction: When a curve is expressed as x=ft, y=gt, a≤t≤b The equation is identified as the param...

Q: Solve for the value of n: P(n,n-1) = 6 %3D

A:

Q: Identify the following parts of a circle. 1. Point A В 2. AB 3. FD 4. AG 5. BD 6. BF 7. BDG 8. BFD 9...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub-...

Q: 3. Find the inverse Laplace Transform of the g

A:

Q: Use rules of inference to show that if ∀x(Y(x) → (Q(x) ∧ S(x))) and ∀x(Y(x) ∧ R(x)) are true, then ∀...

A:

Q: Use the graph of the polynomial f(x) to answer the questions below a. Is f(x) even, or odd, or neith...

A:

Q: isfies the differ and the auxi

A:

Q: a slope of 1/4 that contains the point (6,3)

A: In this question, the concept of the graph is applied. Graph The graph of a function is the collecti...

Q: Find a Taylor series for the function f(x) = In(3 + 4x) about x = 0. CONTINUE FINDING THE TAYLOR SER...

A:

Q: Question 5: Find the winning strategy for a game of sprouts that starts with 5 dots.

A: We have to find the winning strategy for a game of sprouts that starts with 5 dots.

Q: Q5/ Find the limits : 1- limp-0 3 V3h+1+1 x-1 2- lim-1 Jx+3-2

A: We have to evaluate the limits of:limh→033h+1+1limx→1x-1x+3-2

Q: How many different words with or without meaning can be formed with the letters of the word 'ORDINAT...

A:

Q: in matrix equation [A] {X} = {R}. %3D (2)

A: INTRODUCTION: Eigenvalues are a subset of scalars that are associated with a system of linear equati...

Q: A- Locate the centroid (X only) of the shaded area

A: Given,           

Q: a. Write the equation for the revenue, R, the company will earn as a function of the length, x, of t...

A:

Q: Objective: Construct a probability distribution and use it to find the expected value of the game. I...

A:

Q: 4. Determine whether the following functions are one-to-one: a) f (x) = "+1 for all real numbers x +...

A:

Q: Expand the function in a power series E anx" with center c = 0. Find a„x". n=0 (Express numbers in e...

A:

Q: 2. For a given function f(x) – (x – 2)² + 6 a) Axis of symmetry : x= b) The vertex (h,k) is: ( c) Ma...

A: The  x co-ordinate of the vertex lies on the axis of symmetry which is situated at the midpoint of t...

Q: Find the general solution of the DE y" +2 y' +2 y= a cos (wt), where a and w are constants. Note: Wr...

A:

Q: A committee of 4 members chosen from 6 women and 5 men. Combination Not Combination

A: We have to find the type of given statement.

Q: Problem 13 *** 13. A company sells square carpets for $7 per square foot. It has a simplified manufa...

A:

Q: 14. Two cars start from rest at a traffic light and accelerate for several minutes. The graph below ...

A:

Q: The graph of the equation 2x2 - 5y?+12x+ 20y+F=0 is either a hyperbola, a point or two intersecting ...

A:

Q: VII. Solve. Round the answers to the nearest tenth. 13.) An isosceles trapezoid has a height of 6 cm...

A:

Q: Show graphically of the inequality 1. 2x+3y+5>o

A: Inequality: Linear equality is expressed of the form ax+by+c≥≤0. Instead of equal sign, an inequalit...

Q: the real root of the e section method is

A:

Q: In how many ways can a coach choose three swimmers from among five swimmers? Combination O Not Combi...

A: