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Консультация № 191329
04.09.2017, 11:32
0.00 руб.
1
2
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Найти наибольшее и наименьшее значения функции
z=x2-2xy-y2+4x+1 в области D: x=-3; y=0; x+y+1=0
Найти наибольшее и наименьшее значения функции
z=x2-2xy-y2+4x+1 в области D: x=-3; y=0; x+y+1=0
Прикрепленные файлы:
Обсуждение
04.09.2017, 12:49
общий
Вы начали решать этот пример?? Покажите свое решение, эксперты подскажут если что-то не получается. Просто Вы сегодня выставили на сайт всю контрольную. Вы хотите, чтобы все задачи за Вас решили?
04.09.2017, 14:42
общий
это ответ
Здравствуйте, Руслан!
Построим область D:
1) Найдем стационарные точки:
2) Исследуем границы области D:
а) левая сторона треугольника
:
Исследуем концы отрезка - точки
и 
б) нижняя сторона треугольника
:
Один из концов отрезка - точка уже исследована. Исследуем второй конец отрезка - точку 
в) правая сторона треугольника
:
точка уже исследована
Концы отрезка уже исследованы.
3) Имеем:
Ответ:
Построим область D:
1) Найдем стационарные точки:
2) Исследуем границы области D:
а) левая сторона треугольника
:Исследуем концы отрезка - точки
и б) нижняя сторона треугольника
:Один из концов отрезка - точка
уже исследована. Исследуем второй конец отрезка - точку в) правая сторона треугольника
:точка
уже исследованаКонцы отрезка уже исследованы.
3) Имеем:
Ответ:
5
Огромное спасибо за решение!
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