Q2)/ Solve the following Fourier series: f(x) = Isinx| = sinx ; If 0

Q: Determine one real root of 2x cos 2x - (x - 2)^2 = 0 on the interval (2,3) using Regula Falsi…

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Q: Q/Determine the Fourier expansions of the periodic functions whose definitions in one period are: -2…

A: Given ft=0-2≤t<-1sinπt2-1<t<101<t≤2

Q: (a) [(0.6e15 + 4t 3t² +03-10-01 at 4t4-3t3 + 0.3 _10t 1.5 -0.1 2t3 (b) Evaluate…

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Q: Q5): Determine the Fourier series of the function f(x) = 1 - x² in the interval [-1, 1].

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Q: Employ fixed-point iteration to locate the root of f(x) = sin (√√x) - x

A: We are given f(x)=sin(x)-x to find the root using fixed we first find iterative function ϕ(x)…

Q: Expand, f(x) = -1 f(x) = Sinx f(x) = +1 (MXN) (n≤x≤-1/2) (-≤x≤) in a complex Fouriér Series if the…

A: As per the question we are given a piece-wise defined function f(x) with period of 2π and we have…

Q: Find the fourier sine series in f(x) = pi/3 if 0<x<pi/3, 0 if pi/3<x<2pi/3, -pi/3 if 2pi/3<x<pi and…

A: To determine the Fourier sine series of the below function. fx=π3      if 0&lt;x&lt;π30         if…

Q: Q4/ Find Fourier Series for f(t)=e', where -t

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Q: Use simple fixed-point iteration to locate the root of f(x) = sinyã – x

A: Fixed point :   A point is called a fixed point of g(x) if it satisfies the equation x = g(x).…

Q: Find the Fourier series of, - 2 < x< -1 f(x) = }-2 -1< x<1 1< x< 2

A: We have to find the Fourier series of the given function.

Q: Determine the Fourier Series of f(x)= { = *R 0<x<T π < x < 2π Interval: 0<x<2*

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Q: Prove that sin x can be approximated by x − (x^3/6) within 0.01 on the interval [-1,1].

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Q: What is the fourier series of the piecewise: f(x) = { x^3+2, -L ≤ x ≤ L             f(x+2L), other…

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Q: sin( 2 cos (x/ 20 )) = Select one: O 2x (400 - x )°/(400 - 2x) O 40 x/ (400 + x) O ( 2x - 400 ) /…

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Q: Q5): By using Fourier series solve the period below: -2, -2 <t<0 f (t) = 2, () <t < 2 If the…

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Q: solve for the Fourier series f(x)=x^2 in (-1,1)

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Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

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: 1 lim (1 + sin²x)x

A: We have to solve the given limit: limx→01+sin2 x1x This is 1∞ indeterminate form of limit we know…

Q: Find the Fourier series

A: Given,          f(x)=1if -π≤x&lt;0-1if 0≤x&lt;π

Q: cos( 2 cos (x/ 12)) = Select one: O None O 24 x / ( 144 + x²) O 2x ( 144 - x² )º.5 / ( 2x² - 144 )…

A: Given cos(2cos-1(x/12))We know that 2cos-1(u)=cos-1(2u2-1)Here upon comparing u=x12

Q: O1-. Find the Fourier series for the function:_ f(x) = 4 – x2 - 2 < x < 2

A: Since you have asked multiple question, we will solve the first question for you .If you want any…

Q: find the fourier series for the half-Period sine of the function fx) = sinx inthe period 8. xx Then…

A: Given that, f(x)=sinx in the period 0&lt;x&lt;π. ∫n=1∞1(2n-1)2(2n-1)2. The objective is to evaluate…

Q: Fourier series and Dirich let condition.

A: It is given that the function f(x)=sinax We have to prove that sin ax=2sin aππsin x12-a2-2sin…

Q: -2 when -π<x<0 f(x) = (2 when 0<x<π %3D

A: This is a problem of Fourier series.