Looking for help on this,
Its different from the usual as the first box dosent just want a0 and its not f(x) its F(X)
Looking for help on this, Its different from the usual as the first box dosent just want a0 and i...
(1 point) Suppose you're given the following Fourier coefficients for a function on the interval [-π, π : ao = 2, ak = 0 for k 2 i, and for k > 1. Find the following Fourier approximations to the Fourier series a0 + 〉 ,(an cos(nz) + bn sin(nx)) bk = F, (z) = F,(z) = Fs(x) (1 point) Suppose you're given the following Fourier coefficients for a function on the interval [-π, π : ao = 2, ak...
I just need a0 and an, please show work! =4r +3 defined on the interval (0, 4, denote by fe the even extension on-4, 4 of f Given the function f(z) Find fer, the Fourier series expansion of fe fep(z) an COS 1 that is, find the coefficients ag, an, and b, with n 1. Σ 0 do= Σ an= 0 Σ 0
4. Consider the following partial information about a function f(x): S.x2, 0<x<I, (2-x), 1<x<2. Given that the function can be extended and modelled as a Fourier cosine-series: (a) Sketch this extended function in the interval that satisfies: x <4 (b) State the minimum period of this extended function. (C) The general Fourier series is defined as follows: [1 marks] [1 marks] F(x) = 4 + ] Ancos ("E") + ] B, sin("E") [1 marks] State the value of L. (d)...
A function is defined over (0,6) by 0 <and I <3 f(1) = - { 3<; and <6 We then extend it to an odd periodic function of period 12 and its graph is displayed below. N y 1 0 -10 5 5 10 15 X The function may be approximated by the Fourier series f (t) = a0 + 1 (an cos (021 ) + bn sin ( 122 )), where L is the half-period of the function. Use...
Find the Fourier series approximation of the following periodic function ????, where the first two leading cosine and sine functions must be included. f(x) Angle sum formulas for sine / cosine functions sin(A + B) = sin A cos B + cos Asin B sin(A – B) = sin A cos B - cos Asin B π cos(A + B) = cos A cos B – sin A sin B cos(A – B) = cos A cos B + sin...
Help, got the convergent part but keep getting incorrect values. Bottom half I got -2<x<4 and 0 as the sum but both incorrect Determine whether the series is convergent or divergent. 4 + n(n1) n 1 convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) Need Help? Watch It Read It Talk to a Tutor Save Progress Submit Answer Practice Another Version 2 points SCalcETS 11.2.057. Find the values of x for which the...
4. Consider the periodic function given below: f(x)-x 0 ㄨㄑㄧ (i) State its fundamental period, and sketch the function for 3 periods. (5 marks) i) Find the Fourier series of the given periodic function, and expand the series to give the first three non-zero a and b terms (15 marks) ii) Use the answer obtained in Q4(ii) and the given periodic function, find the sum of the series 4(2n-1 )2 (5 marks)
For the function y 1-x for 0 s x s 1 Graph the function's 3 periods 1) Find its formulas for the Fourier series and Fourier coefficients 2) Write out the first three non-zero terms of the Fourier Series 3) 4) Graph the even extension of the function 5) Find the Fourier series and Fourier coefficients for the even extension 6) Write out the first three non-zero terms of the even Fourier series 7) Graph the odd extension of the...
1 to 6 Remember- if f is an even function, f(-x) f (x). An even Fourier series, has only cosine terms and is used to approximate an even function, which we will denote it by: F(x)-a+a, cos(x) +a, cos(2x)+a, cos(3x) +.. Given an even function,f, on the interval [-π , we want to find the function Fe(x) so that f(x) This means that f(x) = ao + a, cos(x) +a2 cos(2x) +a, cos (3x)+ and, therefore, -F(x). jf(x)dr-fata, cos(x)+a,cos(2x)+a,cos(3x)+ dr....
mechanical engineering analysis help, get from problem to solution, pls show all work, thanks. Problem 2. Find the Fourier series approximation of the following periodic function f(x), where the first two leading cosine and sine functions must be included. f(x) Angle sum formulas for sine / cosine functions sin(A + B) = sin A cos B + cos A sin B sin(A – B) = sin A cos B – cos A sin B TT cos(A + B) = cos...