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Consider f(x)=2x−(1+a)f(x)=2x−(1+a), x∈(0,1+a)x∈(0,1+a) where a=9−a=9− the last digit of your student ID (i)(i) Draw a plot...

Consider f(x)=2x−(1+a)f(x)=2x−(1+a), x∈(0,1+a)x∈(0,1+a)

where a=9−a=9− the last digit of your student ID

(i)(i) Draw a plot of the periodic Fourier Series expansion of f(x)f(x). What is its value at x=0x=0 and why? Is it odd or even?

(ii)(ii) Expand the given function in a Fourier Series.

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