Consider the Pecewsie continuous function { f(x) = = -2 < x < -1, −1≤ x < 0, 0 < x < 2. Without determining its Fourier series, find the numbers where the Fourier series converges (i) at -2, Your Answer: (ii) at -1. Answer: (iii) at 1/2. Answer:

Q: Find the coefficient of x° in the power series of this function f(x) = (1–2x)2

A:

Q: Q4. Find the Fourier sine series for the function: f(x)= 0 for 0<x< 1/1 for 1/1/1<x<

A:

Q: The question is to find a power series for the function centered at c f(x) = 5/(5-x) , c = -3

A:

Q: Periodically extend and determine the Fourier series (I) and Use the Fourier series of the function…

A: The given function is .We need to find its Fourier series.We know that the Fourier series of a…

Q: Q1; Find Taylor series of the function f(x) = Vx at a = 36. ( piul) %3D

A:

Q:

A:

Q: Q1: Expand in a sine-Fourier series: f(x)=x,0 < x < 1.

A:

Q: +00 (-1)"(3n + 4) 23n+3(n + 1) Differentiate the function f (x) = x ln(1 + x) to determine the sum…

A: The product rule of the differentiation is as follows: ddxu(x).v(x)=du(x)dx.v(x)+dv(x)dx.u(x)

Q: Q2. Find the Fourier series for the function f(x) = |x-x² for −1 < x < x<π]

A:

Q: ƒ (x) = X (1+6x)²

A:

Q: - 1< x < 0 0 < x < 1' (e* 3. Find the Fourier series of f(x) = {". f(x) = f(x + 2).

A:

Q: 2.r if 0 if rl<x

A:

Q: Find a power series for the function f (x) = x2/(1 + x3)

A: We have to find the power series for the function f (x) = x²/(1 + x³)

Q: 5. Is the given function even or odd or neither even nor odd? Find its Fourier series be if p = 1.…

A:

Q: Find the Fourier series representation of the periodic function below if c = 9.62 and d = 0.46.…

A:

Q: help me with abc please

A: The objective of this question is to derive the Fourier sine series, Fourier cosine series, and the…

Q: Determine the half-range Fourier cosine series to represent the function f(x) = 3x in the range 0…

A:

Q: Let f(x)=x² cos(√x).

A: Given function f(x) as follows :-   f(x)=x2cos⁡(x)   To find power series of derivative of f(x)…

Q: Find the power series representation for the derivative of the function

A:

Q: Differentiate the Maclaurin polynomial of degree 4 for f(x) = ex . Describe the relationship between…

A: Maclaurin polynomial of degree 4 is P4x=f0+f'0x+f''02!x2+f'''03!x3+f404!x4.

Q: Find the Fourier series for the periodic function: 0 = {2/²2 f(x): if - 1<x<0 if 0 < x < 1 f(x+2) =…

A:

Q: x + 2, -2 < x < 0 2, Given: Let f (x) = 0<xs2 1. Sketch to what function you expect the Fourier…

A:

Q: for -π<x<01 04. Find the Fourier series for the function: ƒ(x)= for 0<x< T

A: Fourier series of the function

Q: 1. Fl the fourier series representing, f(x)=x, 0<x< 2 and sketch its graph from x =-4 to x=4n.

A:

Q: 31. f(x) = {X, 0<x<1 ti, 1<x<2

A:

Q: 25- A) Use series to express the function f(x) = coshx.

A: