25: Using a suitable Fourier- Series expansion for 0 S x ST: A) Show that: x(n -x) (cos 2x cos 4x . 22 cos 6x %3D 6. 12 32 From (A), prove that: S0 (-1)n+1 un=1 !!

Q: Q2 Solve the differential equation $-7ぶ+6g00

A: Solution :  Given differential equation     y"- 7y' + 6y = 0

Q: Q.6 Choose all the correct options (a) S: dz Over C = -2ni, where C: |z|=4. sin hz (Б) f dz Over C =…

A: To find: Which of the given options are true.   Cauchy residue theorem: If C is a simple, closed,…

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A:

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A: We will form a linear programming and then solve it graphically

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A: To find a tree diagram to show all the possible quadratic function :-

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Q: Möving toa Question 5 [CLO-1] The Which candic O Candidate O Candidate C O Candidate A O Candidate B

A: count the 6 choice votes to find the candidate with the most last place votes

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Q: Using the techniques described in section 2.6.4 of the Course Notes, find the global extrema of the…

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Q: Which of the following statements is (are) false if all vectors are in R"? O None of the statements…

A: Given all vectors in R^n .

Q: fex Sin X %3D

A: According to guidelines we solve one question (2).

Q: Determine the general solution to the vector differential equation x '= Ax with A = [2030-40 -30 2]…

A:

Q: 1- Show that the following subset is a subgroup. H = {0 e S, l0(n) = n}c S,

A: We have ,  H = σ ∈ Sn / σn = n  Here , H is subset of Sn Clearly , identity permutation is in  H.…

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A:

Q: The table below gives the velocity v of a moving particle at time t seconds. t0 2 4 6 8 10 12 4 6 16…

A: Formula for distance:   Distance = Velocity × Time  Formula for Acceleration:   Acceleration =…

Q: 12. ODEINT for Airy's Equation: Find and plot a numerical solution to " +x'y = 0, y (0) = 1,y (0) =…

A: We will use programing for this question

Q: dx dy 1. " + y = x , dt = 3y dt |

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Q: 6) f(x) =xcos x 2n(-1)" • sin(nx) (n-1)(n+1)

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Q: (a) Find all cosets of the subgroup 4Z of Z. (b) Find all cosets of the subgroup (4) of Z,2. (c)…

A: Since you have posted a question with multiple sub-parts , we will solve first three subparts for…

Q: аn — ар-1 +2а,-2 — п*, with ag 3D 1, aj %3D1.

A: We have to find Total Solution of given Recurrence relation.

Q: 1. Use Gaussian elimination to find the solution for the given system of equations. x + y + z = 3 x…

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Q: Let I be the 5 × 5 identity matrix. What is the algebraic multiplicity of its eigenvalue? Answer:

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Q: 25.2. Find the Laurent series for the function 1/[z(z-1)] in the follow- ing domains: (a). 0<Iz| <…

A: Since you post more than one question, as per our guideline we can solve only first question for…

Q: 1 1 3 3 1 3 3 0 2 1 1 1 1 2 0 1 2 1 0 1 1 3 6 0 1 4 2 3 2 1 0 2 4 2 1

A: Using property 9 and  If we get a matrix B from a matrix A with Multiplying by c( non zero) to a…

Q: a (e) Let B = be any 2 x 2 matrix. COs a = U11 (i) Show that there are real numbers u1 and a such…

A: We will use the basic knowledge of trigonometry and matrices to answer both the questions you need.…

Q: In layman's term, discuss uniform continuity.

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Q: SHOW SOLUTION. What will it cost to tile a kitchen floor that is 12 feet wide by 20 feetlong if the…

A: Solution :  Given that the tile a kitchen floor that is 12 feet wide by 20 feet long  Clearly…

Q: .Using &-8 definition show that x3 – 4 lim x→2 x2 + 1 - 4 4 - + in

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Q: 11) What are the indices for the planes drawn in the following sketch? а) (1-10) b) (-1 0 1) c) (-1…

A: Solution

Q: A scatterplot is shown. 40 y 12 10 8. 6. 4. 4 6. 8 10 12 Which statement about the scatterplot is…

A: If both the variable tends to increase and decrease simultaneously then the association is positive.…

Q: Determine the real roots of f(x) = x – 4x – 9 (a) Solve graphically using excel (b) Solve by hand…

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Q: Find gcd(2,3+5i) in Z[i]. Show that 3 + 4i and 4-3i are associates in Z[i]. Determine the splitting…

A: (i).

Q: Let A find on Conditions a,bic and d has infinitely that AX =o many solution . what must there Pere…

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Q: Please provide explanation every step in solution. Provide simple explanation in the right of every…

A: Problem 1 :- x + xy =C;   C is arbitrary constant. x + xy =C…

Q: sin! x = 0 x # 0 Let g(x) = Find all values of h for which h satisfy the following conditions on I =…

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Q: Find two paths of approach from which one can conclude that the function has no limit as (x, y)…

A: To find two path of approach for the given function such that we conclude that no limit exist when…

Q: D -J= \-3メー 2, Sinx

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Q: Find an explicit solution. (Hint: Let u = x – y) dy = (x- y) dx y(0) = 0 Use the following methods…

A: Relative error:- The relative error (Er ) of a number is the absolute error divided by the true…

Q: Exercise 15.5.9. Given a group G, suppose that G = (a). Prove that G = (a-!). Exercise 15.5.10. (a)…

A: 15.5.9    Let G = &lt;a&gt; be a cyclic group with its generator a. Let for x ∈ G There is an…

Q: please send step by step handwritten solution Q1

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Q: Find x1 20 and x2 20 such that X1 + X2 < 10 5x1 + 2x2 < 20 X1 + 2x2 < 36 and z = x1 + 3x2 is…

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Q: Exercise 5.3.12. Suppose a E G with |a| = n < ∞ and there is k e Z such that ak multiple of n. = e.…

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Q: discuss uniform continuity.

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Q: A hyperbolic mirror can be used to take panoramic photos, if the camera is pointed toward the mirror…

A: Solution: Take a ride to the equation of the hyperbola - The standard form of the equation of a…

Q: Z. The initial solution of the partial differential equation = 0 by separation of variable is a) z =…

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Q: Question 3 [CLO-1] The table attached shows the preference schedule for an election: Number of…

A: Let us look at table of the preference schedule of an election