Find the fourier analysis and plot the first 5 partial sums: 9. f(x) = 10. f(x) = = 3 п-х X if -T

Q: EX: - Derermine expoentail fourier series of X(t)=exp(2t) for -1<t<1 and has period of 2

A: Find the attachment for the solution.

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.

Q: [xus (2) x+10) xuIsx(p) x(1) (k)1 ×sinx (1x [x][a] (k) 1 x (m)xcosx

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Q: The values of a period 2 function f(t) in one full period are given. Sketch several periods of its…

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Q: Q1/ Find the Complex Fourier series representation of the function: fa sinwk f(x) = 0 <x < T/w Tt/w…

A: fx=a sinωx     0&lt;x&lt;πω     0               πω&lt;x&lt;2πω The comples Fourier series of fx…

Q: Q3/ find the Fourier series for the following function. F (t) = ( 0<t<2 2<t<4

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Q: Given f (x) is defined as a half range Fourier series - x2 ,0 < x < 1 f(x) = x – 1, 1<x < 2 Sketch…

A: Even extension of a function is the same graph repeated in the remaining part of the interval.…

Q: Q2/ Analyze the functions below using the fourier series: ーTくx<0 0, f(x) = {ェーX, TT - X, 0s x< T

A: Let us consider the function f(x) in the interval [-L,L] The Fourier series of the function  is…

Q: x) = cos in the interval of (-T, 7) %3D

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Q: 3. Find the Fourier series of, f(x) = }0 11 -π< x- π/2 - 1/2 < x <t/2 π/2<x<π

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Q: Develop f x in the Fourier series, if defined as: (i) : f x = sinx, -T <x <T. -k, if -1<x <0, (k, if…

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Q: 3. Let f(x) = x sin(x) on [-7,7]. (a) Write a Fourier expansion of f(x) on this interval. (b) Use…

A: The given function is fx=xsinx on -π,π.   The Fourier series for a function fx defined on the…

Q: For each first order ODE, state why or why not the ODE is separable, linear, and/or exact (each one…

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Q: (b) You are given that the Fourier series for f on the interval (-7, 7) is [a, cos(nx) + b,…

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Q: (X-x) = 0 using summakion nules.

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Q: Find the fourier series to represent the function f(x) sinx,-n<x<л

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Q: Verify Stoke's Theorem for F=-yi+j+:k where S is the part of the paraboloid=9-r-y. lying above the…

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

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Q: Find the Fourier series approximation of the following functions: f(x) = } S-x,(-1<x < 0) x, (0 < x…

A: Given function: fx=-x-1&lt;x&lt;0x0&lt;x&lt;1 Fourier series is given by…

Q: Find the zeroth order coefficient (a) for Fourier series of f(x) = 2x+1, -^<x<^. 02 03 01

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Q: 22/Find the Fourier series for the following function? (SM) r)=x for

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Q: 37. f(x) = x + 1, 0 <x< 2

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Q: The sequence {xk} has the Z transform 3z(z-1) z): Find {xk} z3-2z2-4z+8

A: According to the given information, it is required to find the z transform of the given function.

Q: (b) f(x) - eª, -<< *.

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Q: y+ 2 - 3w = -2 3x +y -z + sw - O 2x + y-z + 4w :o x + y -2 + 3w : 0

A: Given  we have given the linear system of equations y+z-3w =-23x+y-z+5w =02x+y-z+4w =0x+y-z+3w = 0…

Q: : Obtain the Fourier series for the function: (4x+1 if – n <x< 0, f (x) = |1–5x if 0<x<r.

A: We will find out the required value.

Q: Show that the finite sine transform of , 0 < x < n is (- 1y*'- p

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Q: HoW it aくく! -(メ)す |<X<2

A: We have given function ,  f(x) = 1 , 0 &lt; x &lt; 10 ,1 &lt; x &lt; 2 We know that Fourier series…

Q: Let f(x) = (x2 + 1), n<x <a be a periodic function, then the Fourier coefficient az = Answer:

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Q: Q5/ Find Fourier series of the Function: f(x) = x if (–n < x < n) %3D

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Q: Q4: A. Find The Fourier series for the function defined by 2k - (x) if 0 < x <: f(x) = 2kx (1 – x)…

A: Given f(x) =      2kl(x)       if 0≤xl22kxl(l-x)     if l2≤x≤lwe have to find the fourier series for…