f(t) = -12 < t < 0 If f is the Fourier series of g(t) = { 144-²², 0≤1<12 8, + ∞ n=1 help (formulas) What does f(-12) equal? f(-12) = What does f(-6) equal? ƒ(−6) = What does f(0) equal? What does f(6) equal? What does f(12) equal? ƒ(12) = f(0) = ƒ(6) = COS sin (2) 12 help (numbers) help (numbers) help (numbers) (12¹) help (numbers) " help (numbers) then +

Q: Confirm that summation d/36 ϕ(d) = 36 and summation d/36 (-1)^(36/d) ϕ(d) = 0

A: We have to confirm that ∑d/36φ(d)=36 and ∑d/36(-1)36/dφ(d)=0.

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A: Given f(x)=Ax^2 -2; We have to apply the Fourier series to find the required answer.

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A: Step 1:Step 2: Step 3: Step 4: thanks

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Q: -5<x<0 0≤* <1, then 1≤z<5 0, If f is the Fourier series of g(x)=9x, (11, f(x) =+ Σ[0) 0 (™™ +) +…

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Q: (a) Write down the equation and its range of the periodic function shown below -4 -3 п -2П -П 0 X+ π…

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A: Fourier series

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Q: Manuben

A: The objective of this question is to find the Fourier Series coefficients, ao, an, and bn, for the…

Q: (9) F(<) = { —1, if - п <x<0 1, if 0sxп (h) f(x) — f -х, х, -1<x<0 0<x<1 if if

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Q: Find (x³ + 2x²) dx using the Riemann sum.

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Q: B/Find the Fourier series of the following: if 0 < x < 1/2 4 3 f(x) = if 1/2 < x < 1 - 4 1 if 1 < x…

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Q: 7. f(x)=x² – x+3, –2<x<2

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Q: If f is the Fourier series of g(x) = f(x) = = -5 < x < 0 then COS 9x, 0<x< 1 11, 1<x<5 Σ[0)~ (G™-)…

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Q: f(x) equals      {0, -5 <x<0}                         {3, 0<x<5}   Write the fourier series…

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Q: If f is the Fourier series of [3, -4<x<0 [ 16 – x², 0 ≤ x < 4 g(x): = = I f(x) COS ƒ(z) = ¯ + 2 [()…

A: Given- f is the Fourier series of To find- What does equal?What does equal?What does equal?What…

Q: 2 f(x) = tan √√3 10 is a decreasing alues of 2 2x+1 -log (x² + x + 1) + √3 function for all x = R,…

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Q: B 2 Show that can be written in the form A + C where A, Band Care T (x - 2)(x + 3) X-2 +3' constants…

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Q: x-4 Evaluate the integral x²-5x+6 = (x-2)(x-3) х2-5х+6

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Q: F(0)=4cot(30) F(0)=2sec0+3 g(0)=-3cot(20) f(0)=2cot(0+pi) f(0)= 3-sec20 f(0)=3csc(20)

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Q: "Using the Chain Rule, show that the Power Rule (d/dx)xn = nxn-1holds for the functions xn x1/4 =√√x

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Q: Z +1 f(z) %3D (z – 1)? (z – 2) what will its residue at z = 1? %3D

A: Introduction :

Q: b

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Q: The Fourier series representing f(x) = % -n <x< 0) 0<x<π ハ9,ra+ 2x) = f(x) (-1)n+1 Is given by f…

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Q: 6. Show that 2x-3- 2x - 5x-3 (a) , x e R, x ± 1. -1

A: Simplification

Q: Regula-Falsi Iterative Formula: Xnew = xp - [(f(xp) * (xp – xn)) / (f(xp) – f(xn))] f(x) = x3 + 5x2…

A: Sure, I can help you complete the table using the Regula-Falsi method to solve the equation f(x) =…

Q: (a) Find the Fourier series of the function (x) = 1 – |x|, -2 < x< 2 (b) Hence prove that 1+

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Q: 5. (a) Find the Fourier Series of the function (x) = 0 (x) = nx- x if 0< x< n. if -n < x < 0 (b) Use…

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