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Консультация № 65920
07.12.2006, 10:40
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Здравсвуйте, уважаемые эксперты! Помогите пожалуйста в решении задачек. ГОРЮ. Нужно сдать контрольную.
Найдите область определения функции:
1) y= подкоренное выражение -Хв квадрате+12 * ln(|x-3|-5)
2)Найдите наибольшее значение z=2x+y, если х и у удовлетворяют условиям: знак системы Х>=0; y>=0
|x+3y-9|<=3
|x-y|<=5
3)Найдите пределы
lim X-5X/Xквадрат+1 X стремится к бесконечности
4) Найдите уравнения асимптот к графику функции
Y= Xквадрат-4X/3X-4
ЗАРАНЕЕ БЛАГОДАРЮ
Найдите область определения функции:
1) y= подкоренное выражение -Хв квадрате+12 * ln(|x-3|-5)
2)Найдите наибольшее значение z=2x+y, если х и у удовлетворяют условиям: знак системы Х>=0; y>=0
|x+3y-9|<=3
|x-y|<=5
3)Найдите пределы
lim X-5X/Xквадрат+1 X стремится к бесконечности
4) Найдите уравнения асимптот к графику функции
Y= Xквадрат-4X/3X-4
ЗАРАНЕЕ БЛАГОДАРЮ
Обсуждение
Неизвестный
07.12.2006, 13:22
общий
это ответ
Здравствуйте, Рощин Евгений !
Вычислить пределы №3
1) Я так понимаю, что от х отнимается дробное выражение. Если привести к общему знаменателю, то степень числителя больше степени знаменателя, тогда предел равен бесконечности.
попробую помочь с №4
есть вертикальная асимптота у=4/3 х
сейчас вычислим наклонную:
k=limf(x)/x=lim((x^2-4x)/(3x^2-4x))=1/3 при х стремится к бесконечности
b=lim(f(x)-kx)=lim((-8x)/(9x-15))=-8/9
тогда асимптота у=1/3 х - 8/9
Вычислить пределы №3
1) Я так понимаю, что от х отнимается дробное выражение. Если привести к общему знаменателю, то степень числителя больше степени знаменателя, тогда предел равен бесконечности.
попробую помочь с №4
есть вертикальная асимптота у=4/3 х
сейчас вычислим наклонную:
k=limf(x)/x=lim((x^2-4x)/(3x^2-4x))=1/3 при х стремится к бесконечности
b=lim(f(x)-kx)=lim((-8x)/(9x-15))=-8/9
тогда асимптота у=1/3 х - 8/9
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