5.4 (a) Compute the Fourier series for the function x2 on the interval 0

Extracted text: 5.4 (a) Compute the Fourier series for the function x2 on the interval 0 < x="">< l,="" using="" as="" a="" basis="" the="" functions="" with="" boundary="" conditions="" u'="" (0)="0" and="" u'(l)="0." (b)="" sketch="" the="" partial="" sums="" of="" the="" series="" for="" 1,="" 2,="" 3="" terms.="" also="" sketch="" this="" sum="" outside="" the="" original="" domain="" and="" see="" what="" this="" series="" produces="" for="" an="" extension="" of="" the="" original="" function.="" ans:="" eq.="">