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Консультация № 185522
28.02.2012, 00:00
0.00 руб.
28.02.2012, 08:07
0
4
2
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Помогите пожалуйста!!!1)Вычислить производную функции f(z) в точке z0 f(z)=3z^2-3iz-4 zo=-4-4i . 2)Вычислить суму и разность комплексных чисел,заданных в показательной форме,переведя их в алгебраическую форму,построить операнды и результаты на комплексной плоскости z1=2e^-3п/4 и z2=e^3п/4. Огромное спасибо!!!!!!!!!!!!!
Помогите пожалуйста!!!1)Вычислить производную функции f(z) в точке z0 f(z)=3z^2-3iz-4 zo=-4-4i . 2)Вычислить суму и разность комплексных чисел,заданных в показательной форме,переведя их в алгебраическую форму,построить операнды и результаты на комплексной плоскости z1=2e^-3п/4 и z2=e^3п/4. Огромное спасибо!!!!!!!!!!!!!
Обсуждение
28.02.2012, 01:03
общий
это ответ
Здравствуйте, lady.pch!
1) f(z)=3x2-3y2-3y-4+i(6xy+3x)
z0=-4-4i
f'(z0)=6*(-4)+i(6(-4)+3)=-24-21i
1) f(z)=3x2-3y2-3y-4+i(6xy+3x)
z0=-4-4i
f'(z0)=6*(-4)+i(6(-4)+3)=-24-21i
28.02.2012, 09:52
общий
это ответ
Здравствуйте, lady.pch!
Рассмотрим задачу: "Вычислить сумму и разность комплексных чисел, заданных в показательной форме, переведя их в алгебраическую форму, построить операнды и результаты на комплексной плоскости: z[sub]1[/sub] = 2e[sup]-3пi/4[/sup] и z[sub]2[/sub] = e[sup]3пi/4[/sup]".
Запишем заданные числа в алгебраической форме:
Найдём сумму и разность этих чисел:
Соответствующий рисунок приведен ниже.
С уважением.
Рассмотрим задачу: "Вычислить сумму и разность комплексных чисел, заданных в показательной форме, переведя их в алгебраическую форму, построить операнды и результаты на комплексной плоскости: z[sub]1[/sub] = 2e[sup]-3пi/4[/sup] и z[sub]2[/sub] = e[sup]3пi/4[/sup]".
Запишем заданные числа в алгебраической форме:
z1 = 2e-3пi/4 = 2 [$183$] (cos (-3п/4) + i [$183$] sin (-3п/4)) = 2 [$183$] (-[$8730$]2/2 + i [$183$] (-[$8730$]2/2)) = -[$8730$]2 - i[$8730$]2 [$8776$] -1,4 - 1,4i,
z2 = e3пi/4 = cos (3п/4) + i [$183$] sin (3п/4) = -[$8730$]2/2 + i[$8730$]2/2 [$8776$] -0,7 + 0,7i.
Найдём сумму и разность этих чисел:
z1 + z2 = -[$8730$]2 - i[$8730$]2 + (-[$8730$]2/2 + i[$8730$]2/2) = -3[$8730$]2/2 - i[$8730$]2/2 [$8776$] -2,1 - 0,7i,
z1 - z2 = -[$8730$]2 - i[$8730$]2 - (-[$8730$]2/2 + i[$8730$]2/2) = -[$8730$]2/2 - 3i[$8730$]2/2 [$8776$] -0,7 - 2,1i.
Соответствующий рисунок приведен ниже.
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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