#7. Let f(t) = 1² for t € [-, ], and extend it to be 2T-periodic on R. (a) Find the Fourier series for f(t) in the trigonometric form. (b) Use the result of Part (a) to show that 1 1 1 1+ + + + 24 34 = 90

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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#7. Let f(t) = 1² for t€ [-7, 7], and extend it to be
2-periodic on R.
(a) Find the Fourier series for f(t) in the trigonometric form.
(b) Use the result of Part (a) to show that
1 1 1
1+ + + +
24 34
=
90
Transcribed Image Text:#7. Let f(t) = 1² for t€ [-7, 7], and extend it to be 2-periodic on R. (a) Find the Fourier series for f(t) in the trigonometric form. (b) Use the result of Part (a) to show that 1 1 1 1+ + + + 24 34 = 90
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