4. For each nЄ Z+ let ƒn : R → R be the function n 1 fn(x) = Σ ±2 cos(kx). k=1 k2 Prove that (fn) is uniformly Cauchy, and hence converges uniformly.

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Q: Show that (N,|) is a poset.

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A: We have to match the equation with the graph.

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Q: Please answer these question using manual solution thank you

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A: The formula is given below.Explanation:

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Q: Determine all minors and cofactors of -1 5 5 87 A = 9 1 3 -5 7 8

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Q: Consider the following matrix -3 1 50 1 0 3 0 (a) Find its determinant. (b) Does the matrix have an…

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Q: Solve 2n +3 = 0 (mod 17).

A: Need to solve: .i.e., we need to find the value of  such that  is divisible by .

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A: The answer is the first presented option:{HHr, HHy, HHb, HTr, HTy, HTb, THr, THy, THb, TTr, TTy,…

Q: Sales Analysis The total sales S (in thousands) of a video game are given by at² S(t) t² + b' where…

A: The total sales (in thousands) of video games are given by Given

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A: We slove this problem by simplex method.

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Q: The solution of the differential equation subject to the initial conditions y(0) = 0 and y'(0) = −7…

A: The answer isy(x)=−xsin(2x)−7xcos(2x)Explanation:Step 1:

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A: final answer 5) C optionavg rate change is =2118)1.remainder not zero2. remainder =0 k = -13/2…

Q: 2.3 Next, integrate 22(cos(t))2n+1dt and show that it can be written as 2n I(n) = I(n - 1) 2n+1

A: Given integration .We have to show .

Q: Construct a series solution to the following initial value problem: x(7x+3) y" 15x y' + 3y=28x2,…

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A: The objective of this question is to find the equation of a plane that passes through three given…

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Q: Consider the mathematical program below for the remaining questions: max 18x1 + 22x2 + 7x3 +14x4…

A: max s.t We have to verify  is valid inequality or not.

Q: find generating set for the null space of matrix A=[1,1,1;0,-1,-3;1,1,1;0,-2,-6]

A: If you have any questions please ask me comments sectionPls like this answer Explanation:

Q: (a) Let φ:C → C be an isomorphism such that, for every a ∈ Q, φ(a) = a. Let z ∈ C be a root of f(X)…

A: Detailed proofs are given below in the explanation.Explanation:(a) Let f(X) ∈ Q[X] be a polynomial…

Q: 1. Find the solution of the initial-boundary value problem ди Ət ди + t = 0 მე: for 0 < x < ∞ and 0…

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A: Option 3 is correct, T=[-1, 3), S=[0, 2] Explanation:Let us look for the…

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A: The given equation is Sketch the graph of the given equation.

Q: /

A: Question is solved below Explanation:Step 1:Step 2:

Q: Please Explain how to get particular solution

A: The particular solution isy=31​e3t+e4t[8cos(4t)+4sin(4t))]Explanation:Step 1:

Q: Q3) a) Evaluate x-23(3x) dr. b) Expand the following function in a Fourier Bessel series using…

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Q: Let A = {−7,−2,0,2,7,8,10}, and define an equivalence relation R on A as follows: (x,y) ∈ R if and…

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Q: find the determinant using elementary row opertaions for A=[2,1,5,2;2,1,8,3;2,-1,5,3;4,-2,10,3]

A: If you have any questions please ask me comments sectionPls like it Explanation:

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A: The function is :The main aim is to find the convexity and concavity of the function.

Q: 4 y'+− y = 2; y(1) = −4 {y= X 2 = 5 -x-- 22 X 5

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Q: (a) Find the Doolittle (L unit lower triangular) and Crout (U unit upper triangular) decompositions…

A: Given matrix .We have to find the  decomposition of the matrix.

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