1.1 Find the Fourier series of the even-periodic extension of the function f(x) = 3, for x € (-2,0) (7) (5) 1.2 Find the

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1 1 Find The Fourier Series Of The Even Periodic Extension Of The Function F X 3 For X 2 0 7 5 1 2 Find The 1 (83.46 KiB) Viewed 12 times

1.1 Find the Fourier series of the even-periodic extension of the function f(x) = 3, for x € (-2,0) (7) (5) 1.2 Find the Fourier series of the odd-periodic extension of the function f(x) = 1+ 2x, for x € (0,2). [12] Question 2 Given the periodic function f(x) = -x, -2 < x < 0 x, 0 < x < 2 (f(x + 4) for 3 cycles 2. 2.1 Determine whether f(x) is even, odd or neither. Show that the Fourier Series for f(x) is given by: 2.2 8 f(x) = 1 - iz (cosami + cos Byx + bcos Sqx+ ...) πχ COS 2 1 Зпх COS 32 2 1 5πχ COS 52 2 [15] Question 3 Given the function f(x)on the interval [-1, 1], Find the Fourier Series of the function, and give at last four terms in the series as a summation: 0, f(x) = 4, T - 1<x< 2 TT T --<x< 2 TT <x<T 24 0, ک2 [13]