a) Find the Fourier series of the function f defined by f(x) = 1 if −π < x < 0, f(x) = 0 if 0 < x < π.and f has period 2π. What does the Fourier series converge to at x = 0?

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A: Given: f:ℝ4→ℝ, fx,y,z,w=x22+2y2+8z2+3w3+xy+z-w We have to find: (i) Hessian matrix for f. (ii)…

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Q: Find the sum M "n=√n²+1 n=1 -√n(n+1) Ž noi 1 4n²-1 acasmu n=1 ((1+1)(n+21)

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Q: 9.8 m/s² 5 x 105 m/s x 20 × 10³m Please explain how the answer to this is 2.45 x 10^-8 s^-1

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Q: Find the Fourier transform of the following functions: (₁) f(t)= (11) "-(1+t), -12 t ≤0 t-1 04+ ²1 อ…

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Q: Given the equations below, determine the value of R if  R = v + w + x + y + z

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Q: Question 2 of 6 Let X and Y be random variables with E(Y) = 5, Var(Y) = 6, E(X) = 3, Var(X) = 4, and…

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Q: Prove that the following linear program is unbounded. max ( 2 +1X3 -3Xx₁ X₂ 4 +2X3 -1x₁ +2x1 X4 8 X5…

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Q: 3 3. A sequence d₁, d2,..., dn is graphic if it is the degree sequence of a simple graph. Determine…

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Q: For (2n) for n an и of Van? = EN What ave the beginning 5 terms

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Q: 5. Find the conjugacy classes in D4 and write down the class equation forD4. (To get full credit for…

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Q: Let V be a vector space over F and W be a vector space over G, and let L(V->W) denote the set of all…

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Q: Calculate the geodesic curve of the surface x^2 +y^2 -z=0

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Q: 3. A sequence di, d2,.,d is graphic if it is the degree sequence of a simple graph. Determine…

A: 3. Given that a sequence d1, d2, ...., dn is graphic if it is the degree sequence of a simple graph.…

Q: PART 2. PROBLEM SOLVING. Show all necessary computations and provide a sketch of the region of…

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Q: Determine 8 Σ(√²+ n=1 on (20-3)! n=2 (2n-2)! Σ("~√n-1)" MEI wether the series is. conv. ²√)√n²+1) 8…

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Q: 5. Use the Lagrange multiplier method to find stationary point(s) for the following function.…

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Q: Calculate the approximate to the integral -5 (24 +2x² − 3)dx, by the composite midpoint rule with…

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