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Консультация № 65853
06.12.2006, 21:26
0.00 руб.
0
4
1
Здравствуйте, эксперты!Пожалуйста помогите с решением данных задач:
1)Вычислить комплексное число, ответ записать в алгебраической форме:
(1/(2+3i^10))^3 +3i/(2i^17-1)
2)Данные комплексные числа записать в тригонометрической форме.Вычислить комплексное число w и записать ответ в алгебраической форме:
z1=1-i; z2=2+2*sqrt(3i);w=z1(инверсия)/(z2)^2
3)вычислить комплексное число z,используя формулу Муавра.Записать ответ в алгебраической формуле:
(sqrt(3)-i)^5*(2+2i)^10
1)Вычислить комплексное число, ответ записать в алгебраической форме:
(1/(2+3i^10))^3 +3i/(2i^17-1)
2)Данные комплексные числа записать в тригонометрической форме.Вычислить комплексное число w и записать ответ в алгебраической форме:
z1=1-i; z2=2+2*sqrt(3i);w=z1(инверсия)/(z2)^2
3)вычислить комплексное число z,используя формулу Муавра.Записать ответ в алгебраической формуле:
(sqrt(3)-i)^5*(2+2i)^10
Обсуждение
Неизвестный
07.12.2006, 10:00
общий
это ответ
Здравствуйте, Secret!
1)
(1/(2+3i^10))^3 +3i/(2i^17-1)
Т.к. i^10 =-1, то
(1/(2+3i^10))^3 = -1
Далее
i^17 = i
3i/(2i-1) помножим на комплексносопряженный знаменатель (-2i-1)
Получим
3i*(-2i-1)/(-5)=-(6-3i)/5=-1.2+0.6i
Ответ: -2,2+0,6i
1)
(1/(2+3i^10))^3 +3i/(2i^17-1)
Т.к. i^10 =-1, то
(1/(2+3i^10))^3 = -1
Далее
i^17 = i
3i/(2i-1) помножим на комплексносопряженный знаменатель (-2i-1)
Получим
3i*(-2i-1)/(-5)=-(6-3i)/5=-1.2+0.6i
Ответ: -2,2+0,6i
08.12.2006, 10:02
общий
TO SECRET. Если никто не сможет Вам помочь, постараюсь выложить решения в понедельник утром.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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