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Консультация № 186279
01.06.2012, 14:10
88.90 руб.
0
1
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Решите пожалуйста мои задания :)
Решите пожалуйста мои задания :)
Обсуждение
01.06.2012, 19:55
общий
это ответ
Здравствуйте, Посетитель - 393715!
Для периодической функции f(x) с периодом 2l разложение в ряд Фурье на отрезке [a, b] (b - a = 2l) имеет вид:
где
1. В данном случае l = 1, f(x) = 5x-1, поэтому коэффициенты будут равны:
Следовательно, функция разлагается в ряд Фурье следующим образом:
2. В данном случае l = [$960$] и f(x) = 0 при 0 [$8804$] x < [$960$], поэтому интегрирование можно производить только по левой половине отрезка (от -[$960$] до 0). Тогда
Следовательно, функция разлагается в ряд Фурье следующим образом:
Для периодической функции f(x) с периодом 2l разложение в ряд Фурье на отрезке [a, b] (b - a = 2l) имеет вид:
где
1. В данном случае l = 1, f(x) = 5x-1, поэтому коэффициенты будут равны:
Следовательно, функция разлагается в ряд Фурье следующим образом:
2. В данном случае l = [$960$] и f(x) = 0 при 0 [$8804$] x < [$960$], поэтому интегрирование можно производить только по левой половине отрезка (от -[$960$] до 0). Тогда
Следовательно, функция разлагается в ряд Фурье следующим образом:
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