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Консультация № 199929
20.12.2020, 13:03
0.00 руб.
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Здравствуйте! У меня возникли сложности с таким вопросом:
Найти скорость наибольшего возрастания поля
1 2 2 2
U(x,y,z) = ───── (45x + 25y - 20z ) ,
____
√3353
в точке A(3,-8,-8)
Найти скорость наибольшего возрастания поля
1 2 2 2
U(x,y,z) = ───── (45x + 25y - 20z ) ,
____
√3353
в точке A(3,-8,-8)
Обсуждение
25.12.2020, 04:35
общий
это ответ
Здравствуйте, zhalykov.2015!
Скорость наибольшего возрастания функции U(x,y,z) при переходе через некоторую точку A численно равна модулю вектора - градиента функции
в этой точке, то есть
В данном случае для функции
градиент имеет вид
В частности, в точке A(3, -8, -8) градиент равен
а его модуль
Скорость наибольшего возрастания функции U(x,y,z) при переходе через некоторую точку A численно равна модулю вектора - градиента функции
в этой точке, то есть
В данном случае для функции
градиент имеет вид
В частности, в точке A(3, -8, -8) градиент равен
а его модуль
Форма ответа
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