Consider the action of S5 on the two-element subsets of {1,...,5}. Compute the orbit and stabilizer of {1,2} and verify that the counting formula holds in this case.

Q: Determine a unit vector perpendicular to the plane containing the two vectors A = 4a +4a +5a X y…

A: The given plane contains the vectors: A⇀=-4ax+4ay+5azB⇀=-2ax+ay-2az Any vector perpenciular to the…

Q: Let R be a commutative ring with unity 1 and I is an ideal in R. Then what is the unity in the ring…

A: 1. Given: R is a commutative ring with unity 1 and I is an ideal in R. To find: Unity in the ring…

Q: Find the order of the cyclic subgroup of 224 generated by 18. Find the order of 2/3 x 24. Find the…

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Q: A projectile is shot from the top of a building 96 ft high from a gun at an angle of 30° with the…

A: Giventhat: Height (h) = 96 ft Angle (theta) =30° Muzzle speed =1600 ft/sec Findout the position…

Q: 2. Solve the differential equation (a) x" + 6x' + 10x = 0 (c) x" + 25x = 0. (e) x + 2x" + x = 0 (b)…

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Q: HWs solve the following D.E. ** 5 y My my +1.0 E 40.CO.SX.

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Q: 8. Solve 3x² + x + 8 = 0 (mod 11) and 3x² + x + 52 = 0 (mod 11).

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Q: 7 27 4 Ꮭ Ᏻ 0 0 0 sec(0) 2 p¢epdpó )usd

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Q: 1 2 3 4 5 6 7 8 9 10

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Q: Suppose f(x) is a function with the following properties: · ƒ"(−1) = ƒ"(0) = ƒ”(1) = 0, › ƒ"(x) > 0…

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Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: set of the given power series. notation.)

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Q: find y as a function of x if: y'''-13y''+42y'=60e^x, y(0)=11, y'(0)=24, y''(0)=21

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Q: et A, B, C and D be sets. Prove that (AnB)u(CnD)=(AUC) n(BUC) n(AUD)n(BUD)

A: The set A∪B contains all the elements that are present either in set A or in set B. The set A∩B…

Q: HMS solve the following D.E..... da y you ******

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Q: Show that if a is a quadratic residue (mod p) and ab = 1 (mod p) then b is a quadratic residue (mod…

A: A number is said to be "a" is said to be a quadratic residue mod p if there exists x such that x^2=…

Q: (b) IM8 (-1)" n2 + 1 BWT (c) [

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Q: Determine if y(t) = e-3t and/or y₂(t) = 9 e are solutions of the differential equation y" + 3y - 4y…

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Q: Determine directly or use Algorithm 6.6 to find the Cholesky triangular matrix with positive…

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Q: If the vector from SCS (6.1,51°,111°) to RCS(-4.1,5.2, 1.6) is

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Q: Suppose f(x) is a function with a critical point at x = 1. The graph of the second derivative of f…

A: Given, f(x) is a function with a critical point at x = 1.     Introduction: If x = a is a critical…

Q: 5. Suppose that f: R→ R is continuous. and f(ro) > 0.. Prove that there is an in- terval I =…

A: Given that f: R→R is a continuous function and f(x0)>0

Q: Use the definition of sinh and the formula for cosine of the sum of two angles to verify that 2 cos…

A: Given particular solution yx=sinhx-2cosx+π6 ∴yx=sinhx-2cosx+π6⇒yx=ex-e-x2-2cosxcosπ6-sinxsinπ6 The…

Q: The degree three Taylor polynomial of a function f about x = e is: T3(x) = 2 + (x − e) + 4(x − e)² +…

A: Taylor polynomial: A representation of a real valued function as a sum of infinite terms which are…

Q: 1. The Folium of Descartes is an implicitly-defined curve, significant in the history of…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 1. Let F be a field and F be a subfield of E. The mapping : a(f)=f(a) is called the evaluation Given…

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Q: Example 5: Give an explicit construction of a field with 4 elements. Solution: By Theorem 5, you…

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Q: a sequence has a first term of a(n) = 12 and a common difference d = -7. Write the formula that…

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Q: 16. A triangle has vertices at points in the Argand diagram which represent the complex numbers z₁,…

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Q: 3. € BA Let A=(z,y) and B=(1,2). Write down each function in the set

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Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

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Q: Use sets to solve the problem. Results of a survey of fifty students indicate that 30 like red jelly…

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Q: (a) Find bases for the four fundamental subspaces N(A), N(AT), R(A), and R(AT) of the matrix 2 2-1 0…

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Q: Find dom(R),range(R), R−1, R ° R, R° R-1,R-1⁰ R for the following relation: R={(x,y)| x₁yEN and…

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Q: A legitimate eigenvector of a 10 x 10 matrix could be

A: Introduction: In linear algebra, eigenvalues and eigenvectors go hand in hand. In the analysis of…

Q: 1. Determine whether the following sequences are convergent. If convergent, find the limit. a. b. n²…

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Q: What is the coefficient of x³ in (1 + x + x² + ...x²¹4)4?

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Q: Select all the convergent series ੦੪ ਹc 71 4 +) ()-

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Q: 3. Give a generating function appropriate to counting the non- negative integer solutions to…

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Q: A spherical raindrop evaporates at a rate proportional to its surface area. Write a differential…

A: Here, answer is correct, but you have used Letter K in capital english alphabet. Please use small k…

Q: (a) (b) (c) Let A be an nxn matrix and cij is the corresponding cofactor of Aij. Starting from the…

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Q: 3.2 a. For what values of c is the set of equation Ye = x² +y³ +z = c a smooth surface? b. Sketch…

A: Given Data: (a) To find the value of c is the set of equation Yc =x2+y3+z4=c a smooth surface. (b)…

Q: Let (X, d) be a metric space, and let f: X→ X be a continuous function which has no fixed points.…

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Q: Solve for x, where x is a real number. 5₁√√3 = √x O 225 O 75 O 15 45

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Q: What is the linearized form of the function y = A ln x + B. Write the transformations that should be…

A: Linearized form of the given transformation

Q: nd a matrix M such that M-¹4 (8) M = (9) r every element g € S3. Conclude that the representation is…

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Q: Find the general solution of the given of DE: y"+y = 0. (Use Maple to find m₁,m₂,m,,m₁)

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Q: y+y+y=u²-1 a) What is the system equation for this space? b) Find equilibrium points.

A: The second order differential equation is y¨+y˙+y=u2-1. (a) The objective is to obtain the system…

Q: absolutely, converges conditionally, or diverges.  Show all your work and state your reasons…

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Q: 3. (a) Using Euler's formula, derive the identities 3 cos³(z) = cos(z)+cos (37), sin³…

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