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Консультация № 202796
14.05.2022, 15:04
0.00 руб.
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2
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
1.Вычислить значения частных производных функции z(x,y) , заданной неявно, в данной точке M0(x0,y0,z0) с точностью до двух знаков после запятой.
cos^2(x)+cos^2(y)+cos^2(z)=3/2 ; M0([$928$]/4;3[$928$]/4;[$928$]/4)
2.Найти приближенное значение данного выражения с помощью дифференциала.
(1,04^2)/(1,05^3/4)
3.Найти grad z в точке A и производную функции z(x,y) в точке A по направлению вектора a.
z=x^2+xy+y^2 ; A(-1;2) ; a=-3i+4j
4.Составить уравнение касательной плоскости и уравнение нормали к заданной поверхности S в точке M0(x0,y0,z0).
S: x^2+y^2-5yz+3y=46 ; M0(1,2,-3)
1.Вычислить значения частных производных функции z(x,y) , заданной неявно, в данной точке M0(x0,y0,z0) с точностью до двух знаков после запятой.
cos^2(x)+cos^2(y)+cos^2(z)=3/2 ; M0([$928$]/4;3[$928$]/4;[$928$]/4)
2.Найти приближенное значение данного выражения с помощью дифференциала.
(1,04^2)/(1,05^3/4)
3.Найти grad z в точке A и производную функции z(x,y) в точке A по направлению вектора a.
z=x^2+xy+y^2 ; A(-1;2) ; a=-3i+4j
4.Составить уравнение касательной плоскости и уравнение нормали к заданной поверхности S в точке M0(x0,y0,z0).
S: x^2+y^2-5yz+3y=46 ; M0(1,2,-3)
Обсуждение
14.05.2022, 18:19
общий
это ответ
Здравствуйте, sirkrutfm!
Рассмотрим задание 2. Составим функцию
При этом 
Рассмотрим задание 2. Составим функцию
При этом
Об авторе:
Facta loquuntur.
Facta loquuntur.
16.05.2022, 04:24
общий
Адресаты:
Решаем задачу N4 : Составить уравнение касательной плоскости и уравнение нормали к заданной поверхности
x2 + y2 - 5·y·z + 3·y = 46 в точке M0(1,2,-3) :
Читаем учебную статью "Как найти уравнение касательной плоскости и нормали к поверхности в заданной точке?" Ссылка1 .
Я люблю вычислять в популярном приложении Маткад (ссылка2) . Маткад избавляет меня от частых ошибок. Маткад-скриншот с формулами прилагаю . Я добавил в скрин подробные комментарии зелёным цветом.
Надеюсь, Вам всё понятно?
Для получения помощи по остальным Вашим задачам, создайте для каждой из них отдельные консультации.
x2 + y2 - 5·y·z + 3·y = 46 в точке M0(1,2,-3) :
Читаем учебную статью "Как найти уравнение касательной плоскости и нормали к поверхности в заданной точке?" Ссылка1 .
Я люблю вычислять в популярном приложении Маткад (ссылка2) . Маткад избавляет меня от частых ошибок. Маткад-скриншот с формулами прилагаю . Я добавил в скрин подробные комментарии зелёным цветом.
Для получения помощи по остальным Вашим задачам, создайте для каждой из них отдельные консультации.
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