Question: 5. Consider the 'top-hat' function which is zero everywhere except between -1 and 1 where it takes value 1. Show, using only elementary integration,

5. Consider the 'top-hat' function which is zero everywhere except between -1

5. Consider the 'top-hat' function which is zero everywhere except between -1 and 1 where it takes value 1. Show, using only elementary integration, that the convolution of this function with itself gives a 'triangular function', f(x): = 0 x x > 2 Find the Fourier transform of the 'triangular function' f(x) using the result for the Fourier transform of a convolution.

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