(4) Find the Taylor series for the function centered at c. 4 (a) f(x) == , c = 1 (b) f(x)=√x, c = 4 X (c) f(x) = lnx, c = 2
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- Q 3. Find the Taylor series of f at the point c for : (c) f(x) = sin x, c= T (d) f(x) = cos x, c = 5 (a) f(x) = e", c= 2 (b) f(x) = }, c = 1Q4-Obtain the Fourier series of the function : f (x) = x,(-II < x < II)Use Taylor series for y(x + h), y(x – h), y(x + 2h), and y(x – 2h) to derive the - FD formula for the fourth derivative.
- 2. (a) Find the Fourier series for the function f(t) = t2 on the interval [-7,7].Find the Fourier series of the function if -4 < x< 0 f(x) = f(x + 8) = f(x) if 0Obtain Fourier series of f(x)=x -2Q4/ A: Find Fourier Series of the Function: -K = -=Q2/ A: Find the Fourier Series of the function : f(x) = X+n_if - ■< X< π and f(x+2n) = f(x)(8) Find the Taylor series for the function g(x) = 1/(x+3)2 at a = -2. Show your work.5. Consider the following function : x 0 (a) Calculate the Fourier series (both sines and cosines) of f (x) over the interval [-7, 7]. (b) Sketch the periodic extension of the Fourier series.Q2/ A: Find the Fourier Series of the function : f(x) = x + n if - n < X < n and f(x+2n) = f(x)Express the odd function f(x) (period = 2 with value 1/2 pi (1-x) for 0 <x<2) as a fourier series. Use the result to calculate the series of 1 -1/3 + 1/5 - 1/7...SEE MORE QUESTIONSRecommended textbooks for youAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage