Find the projection of the function f(x) = cos2 x on the orthogonal set (1,cos x,cos 2x) on the interval −π ≤x ≤π.

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Q: B. f(t)= u(t) eosst = u(t). / (21st -ist) +jst ist +uwe+ u(t) jst] 2 F(W) = TS(W-5)+ ½ +TS (W+5) +…

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Q: Let V be a finite-dimensional inner product space, and let E be an idempotent linear operator on V.…

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Q: 0 = AE(0.405D₁ + 0.096D₂) -2 = AE(0.096D₁ + 0.128D₂)

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Q: estion 5 -1 2 15 (23) + (x1 x¹ -³3)-(35) 45 X 32 OOO 3/4 3 then the value of x is Moving to another…

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Q: Solve ²-4x+6y= log²

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Q: 5. The power consisting of all subsets of T a. What b.) How is set P(T) of a set I is the set T. P (…

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Q: find F.T the? f(t) = u(t) cos wot let u(t) = TS (W) + św Coswot = πTES (W_W₁ +8 (wtwo)

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Q: if f(z) analytic in |z| 2? f(z) = (z2 -1)/(z - sqrt(z2 + 4))

A: Given fz=z2-1z-z2+4fz=z2-1z-z2+4×z-z2+4z+z2+4fz=z2-1z-z2+4z2-z2-4fz=z2-1z-z2+4-4 So,…

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Q: Test the consistency of the following equations and solve them if they are  consistent  2? − ? + ? =…

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Q: What is the number of non-negative integer solutions to the equation x+y+z+w=15?

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Q: Define freedholm, Volterra and Singular integral equation. Show that the function - is a solution of…

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Q: Domin of sinx

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Q: Show that the into R² defined by T₁ = ( 9₁ ₂1₂) — 172,9₁) and T2: (F₁, F₂) → (Y¶₁₂ Y {₂) : are…

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Q: Fiona has 5 albums in her Photo Gallery on her phone. Each album has 60 pictures. How many sets of…

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Q: Draw a direction field for the given differential equation and determine the behavior as ?→∞. If…

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Q: (ii) Prove the following Frenet-Serret formulae: T = KUN, N-KUT+TU B.

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Q: X 0,2 0,3 0,4 0,5 0,6 f(x) 0,224 0,363 0,528 0,725 0,960

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Q: 4. In a set B of 3 vectors each with 3 components, one of them is a linear combination of the other…

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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: de K (i) The concept of curvature and radius of curvature are defined by extending those con- cepts…

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Q: Consider the following Gauss-Jordan reduction: Find E₁ = E₂ = E3 = E₁ = 0 TO 0 1 -1 → 0 -8 0 WWW-W 1…

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Q: A survey was taken that asked 1880 randomly selected adults from Country A and Country B to agree or…

A: Number of Country A servey people = 934 Number of Country B servey people = 1880 - 934    = 946…