can you Construct cayley table for dihedral six-gon given the element is {e,a,a^2,a^3,a^4,a^5,f,af,a^2f,a^3f,a^4f,a^5f}. then show that dihedral six-gon (D6) is non commutative based on the cayley table

Q: Find the point on the line -3x + 6y +1=0 which is closest to the point (4,0).

A:

Q: Eng. Translating: With the help of a double integral; find the volume of the solid formed by…

A:

Q: Integrate the item using its desired method; - Trigonometric & Algebraic Substitution - Partial…

A: To Do: Evaluate the integral.

Q: In a certain city, a car rental service has a fleet of about 5000 cars. The pattern of rental and…

A:

Q: x(y − 1) dx + y²dy = 0

A: Given Differential equation is

Q: 4. Use the series method to fin dthe first five non-zero terms of the solutio of the following IVP:…

A:

Q: Solve Using Gauss-Jordan -2x1 + x₂ + 6x3 = 18 - 5x1 + 0x2 + 8x3 = -16 3x1 + 2x2 - 10x3 = -3 x1: x2:…

A:

Q: Find the Wronskian of the following functions. Determine if they are linearly independent or not.…

A:

Q: Express the following in the form r(cos 0 + i sin 0), - < 0 ≤ π: (1 - i)(√3+ i) (1 + i)(√3-i)

A:

Q: Problem 10 Using Mathematical Induction prove that 2 | (n² + n) for any positive integer n.

A:

Q: Find the Fourier transform of f(x) = {xe-2x, if -1<x<0 0, otherwise

A:

Q: Natural Resources personnel recorded data on deer and wolf populations in an area of Ontario and the…

A:

Q: H Use Neumann series to solve g(x)=1+ f(t)di. 0.

A:

Q: Consider the set = Is 2 € A? Is 7 € A? Is {2,4,5} = A? Is {2,4,5} = A? Is ØE A? Is Ø A? {{2,4,5}, 3,…

A:

Q: 1.31. Let p be a prime and let q be a prime that divides p - 1. (a) Let a € F and let b = a(P-¹)/4.…

A: To prove that either b = 1 or b has order q in the field , where p is a prime and q is a prime that…

Q: Let Find an orthonormal basis of the column space of A. A = [115] 26 2 [270]

A:

Q: bee with a velocity vector r' (t) starts out at (7, -3, 7) at t = 0 and flies around for 6 sec me t…

A: We know position vector of bee if it has a velocity vector  is We are given

Q: The augmented matrices that follow are in row echelon form. For each case, indicate whether the…

A: Given: The augmented matrices  are in row echelon form .Objective: To determine whether the…

Q: Find the points on the ellipsoid x² + y2/4 + 2²/9 = 1 that is closest to (1, 2, 3). 2² 18a15

A:

Q: One Function, Many Perspectives For this entire process we'll use the function f(x)=x²-2. Linear…

A: Note: As per the guidelines, repost the remaining subparts.Given function is, which represents the…

Q: Prove the following statement: Let X and Y have bases B and C for their topologies, respectively.…

A:

Q: On any given day, a student is either healthy or ill. Of the students who are healthy today, 95%…

A: It is given that "Of the students who are healthy today,  will be healthy tomorrow".Then, the…

Q: I would appreciate your assistance in solving this problem using matrix notation exclusively. I'm…

A: From the given information, sketch the unit vectors after rotation π/6 .

Q: Question 9 Find the tangent plane to the equation z = 7e²-6y at the point (12, 24, 7)

A:

Q: 4) Find 2hinesly indeperet solutón y" - 2y + y = 0 then fnd portuoler solube of non homogenyefents…

A:

Q: Use a truth table to determine whether the symbolic form of the argument on the right is valid or…

A: We have to determine given argument is valid or invalid using given data.Concept required:

Q: Use Euler's method with step size h = 0.2 to approximate the solution to the initial value problem…

A:

Q: 3. Use the substitution uy- to solve the differential equation xy' + 5y = 3ay Sub v=y=1/3

A:

Q: f(x) = x5 ln(x) e-² 1+x² f(1.05)= 0.009834065665 f'(1.05)= 0.2083153204 f" (1.05) = 0.4190655947…

A: Assuming step size, h=0.1

Q: Production A company produces three types of mue- bles for patio: chairs, rocking chairs and…

A: WoodPlasticAluminumChair112Rocking Chair113Reclining Armchair125Stock4006001500

Q: 1. Negate the statement If x is a rational number and x #0, then tan(x) is not a rational number.

A:

Q: 22 (7) Calculate √√√₂ x ² + ² ₂ ² du where of SE SSS E = {(x₁1.2) 1 - 1 ≤ x ≤1, -14 y, ²1, -1 ≤ 2²1}

A: We have to calculateWhereE = { (x ,y ,z) | }Let   l =  ThereforeI =

Q: Question 5 Y Evaluate the limit, and show your answer to 4 decimals if necessary. Tz² - y²z lim…

A:

Q: Compute the total and annual return on the following invest Two years after paying $2900 for shares…

A: To calculate the total return on the investment, we need to find the difference between the selling…

Q: > Let f(x, y) = x²y³ - 6xy List the critical points: The critical point at the origin is a Select an…

A: The function is:   . . . (1)To Do:List the critical points and classify them.

Q: an = 2an-1 + an-2 + 2an-3, Solve with the characteristic root technique. (h) 1₁ 1₂ 13 => an 1₁ = 72…

A:

Q: A pet store sells three different starter kits for 10-gallon aquariums. The accompanying chart shows…

A: Let the store will create x number of kit 1, y number of kit 2, and z number of kit 3.Hence, x=y+zAs…

Q: 0.6 ¹-[:]. 0.4 Is q = a steady-state vector for A = 0.1 0.9 0.9 0.1 Justify your answer. Select the…

A:

Q: 6. Prove the statement below Suppose x, y € R. Then x³ + x²y = y² + xy if and only if y=x² or y=-x.

A:

Q: Compute the IM8 IM8 IM8 IM8 n=1 n=17 convergence set for the following power series. Use interval…

A: Q1) The  given equation is

Q: f(x) = 5 In(x) e-² 1+x² f(1.05)= 0.009834065665 f'(1.05) = 0.2083153204 ƒ"(1.05) = 0.4190655947 Find…

A:

Q: 4. Show that the solution of Laplace's equation in two-dimensions inside a circle of radius a with…

A:

Q: Show that the union of a chain I, CI,c of ideals of a ring R is an ideal of R. (This exercise is…

A: Given: We are given a chain of ideals in a ring Objective: The objective is to show that the union…

Q: Consider the power series Center: a = Find the center, a, radius of convergence, R, and the interval…

A:

Q: 7. 2²u 2x² = xe with u(0, y) = y², u(a, y) = sin y

A:

Q: If q-1/s and qs not equal to zero, what is the result of (1+q)/(1+s)? A. q B. -S C. S D. qs

A: and We have to find result of .

Q: Consider the power series Center: a = Find the center, a, radius of convergence, R, and the interval…

A: Solution:Given power series: we have to find the centre (a), radius of convergence (R) and the…

Q: tan? xdx = sin’y dy

A:

Q: 4. ди ?x .u= I ди ду with u(x,0) = 2ex

A:

Q: Problem 8 Use Mathematical Induction to prove that of Clam 1²+ 3² +52 +...+(2n + 1)² = (n + 1)(2n +…

A: whenever  is a non-negative integer.