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Система уравнений {5x+y=20 {2x-y=1 Смотреть ответ vseznaika0595 vseznaika0595 {5х=20 {х=20÷5 {х=4 {2х=1 {х=1÷2 { х=0,5 Новые вопросы в Математика Обчислити площу криволінійної трапеції, обмеженою графіком функції y=2х та прямими х=2, х=3. Знайдіть первісну функції f(х)=2х+2, графік якої проходи … ть через точку з координатами (1;4). Вычислите, чему равна площадь боковой поверхности правильной шестиугольной пирамиды со стороной основания 7см и апофемой,равной 4см.​ Найти, чему равна площадь боковой поверхности конуса 10см и образующей 5см.​ Как найти абсолютную погрешность приближённого значения,полученного в результате округления до десятых 3,671 Найти промежутки возрастания и убывания ,а также экстремумы функций f(x)=x^3-6x^2-21 Предыдущий Следующий Вместе мы знаем больше Этот сайт использует cookies Политика Cookies . Вы можете указать условия хранения и доступ к cookies в своем браузере. 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Answer 1

Посмотрим на ваши вопросы по очереди:

1. Для вычисления площади криволинейной трапеции, ограниченной графиком функции y=2x и вертикальными линиями x=2 и x=3, можно воспользоваться следующими шагами:

   • Найдите точки пересечения графика функции y=2x с вертикальными линиями x=2 и x=3. Это будут вершины трапеции.
   • Найдите длины оснований трапеции, которые будут равны разности значений y=2x в точках пересечения.
   • Найдите высоту трапеции, которая будет расстоянием между основаниями. В данном случае, это можно найти как разность между x-координатами вершин.
   • Используйте формулу для площади трапеции: $S = \frac{h}{2} \cdot (a + b)$, где $h$ - высота, $a$ и $b$ - длины оснований.

2. Чтобы найти первообразную (интеграл) функции $f(x) = 2x + 2$, проходящую через точку (1;4), вам нужно добавить произвольную постоянную $C$ к интегралу этой функции: $\int (2x + 2) \, dx = x^2 + 2x + C$. Используя условие, что функция проходит через точку (1;4), подставьте координаты точки и решите для $C$.

3. Площадь боковой поверхности правильной шестиугольной пирамиды можно вычислить по формуле: $S = \frac{3}{2} \cdot \text{сторона основания} \cdot \text{апофема}$. В данном случае, сторона основания равна 7 см, а апофема равна 4 см.

4. Площадь боковой поверхности конуса можно вычислить по формуле: $S = \pi \cdot \text{радиус} \cdot \text{образующая}$. В данном случае, радиус равен 10 см, а образующая равна 5 см.

5. Для нахождения абсолютной погрешности приближенного значения, полученного в результате округления до десятых, вы можете вычислить разницу между округленным значением и исходным точным значением. Например, если округленное значение равно 3,7, а точное значение равно 3,671, то абсолютная погрешность будет $|3,7 - 3,671|$.

6. Для нахождения промежутков возрастания и убывания функции $f(x) = x^3 - 6x^2 - 21$ вычислите её производную и найдите точки, где производная равна нулю или не существует. Эти точки будут кандидатами на экстремумы. Изучите знак производной в интервалах между найденными точками.

Пожалуйста, учтите, что мои ответы предполагают, что вы знакомы с основами математики и дифференцирования. Если у вас возникнут дополнительные вопросы по каким-либо шагам, не стесняйтесь задать их!