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Консультация № 170784
Обсуждение
25.07.2009, 16:20
общий
это ответ
Здравствуйте, Alik4546.
В соответствии с таблицей изображений, изображением функции f1(t) = e-5t является функция
F1(p) = 1/(p + 5), а изображением функции f2(t) = e3t является функция F2(p) = 1/(p – 3).
Поскольку линейной комбинации оригиналов соответствует такая же линейная комбинация изображений, то изображением функции
f(t) = f1(t) + f2(t) = e-5t + e3t является функция F(p) = F1(p) + F2(p) =
= 1/(p + 5) + 1/(p – 3) = (p – 3 + p + 5)/[(p + 5)(p – 3)] = (2p + 2)/(p2 + 5p – 3p – 15) = 2(p + 1)/(p2 + 2p – 15).
Ответ: 2(p + 1)/(p2 + 2p – 15).
С уважением.
В соответствии с таблицей изображений, изображением функции f1(t) = e-5t является функция
F1(p) = 1/(p + 5), а изображением функции f2(t) = e3t является функция F2(p) = 1/(p – 3).
Поскольку линейной комбинации оригиналов соответствует такая же линейная комбинация изображений, то изображением функции
f(t) = f1(t) + f2(t) = e-5t + e3t является функция F(p) = F1(p) + F2(p) =
= 1/(p + 5) + 1/(p – 3) = (p – 3 + p + 5)/[(p + 5)(p – 3)] = (2p + 2)/(p2 + 5p – 3p – 15) = 2(p + 1)/(p2 + 2p – 15).
Ответ: 2(p + 1)/(p2 + 2p – 15).
С уважением.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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