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Консультация № 184709
07.12.2011, 21:00
61.10 руб.
0
4
1
Здравствуйте! У меня возникли сложности с таким вопросом:
1) В какой точке кривой y^2=4x^3 касательная перпендикулярна к прямой x+3y-1=0
2) Зависимость пути от времени при прямолинейном движении точки S=(3t^3)+2t-1 Найти скорость и ускорение через 1 секунду после начала движения
3)Найти наибольшее инаименьшее значение функции на отрезке (-pi/3;pi/3)
y=(cos^2(x))-cos2x
4) Найти пределы:
lim(квадратный корень из 1-cos2x)/(0,1*модуль(x))
x стремиться к 0
lim((x^4)-(18x^2)+81)/((2x^2)-3x-9)
x стремиться к 3
lim((4x+1)/(4х))^2x
x стремиться к бесконечности
lim((0,1x^5)+(0,2x^4)+0,3)/((0,1x^6)+0,2х)
x стремиться к бесконечности
1) В какой точке кривой y^2=4x^3 касательная перпендикулярна к прямой x+3y-1=0
2) Зависимость пути от времени при прямолинейном движении точки S=(3t^3)+2t-1 Найти скорость и ускорение через 1 секунду после начала движения
3)Найти наибольшее инаименьшее значение функции на отрезке (-pi/3;pi/3)
y=(cos^2(x))-cos2x
4) Найти пределы:
lim(квадратный корень из 1-cos2x)/(0,1*модуль(x))
x стремиться к 0
lim((x^4)-(18x^2)+81)/((2x^2)-3x-9)
x стремиться к 3
lim((4x+1)/(4х))^2x
x стремиться к бесконечности
lim((0,1x^5)+(0,2x^4)+0,3)/((0,1x^6)+0,2х)
x стремиться к бесконечности
Обсуждение
07.12.2011, 21:27
общий
это ответ
Здравствуйте, Посетитель - 369100!
Уравнение касательной:
Уравнение прямой:
Из условия перпендикулярности:
Подставляя в уравнение кривой, получим:
Ответ:
2
3
Проверяем значения в 0 и на концах отрезка:
4
Использован первый замечательный предел.
Использован второй замечательный предел.
Уравнение касательной:
Уравнение прямой:
Из условия перпендикулярности:
Подставляя в уравнение кривой, получим:
Ответ:
2
3
Проверяем значения в 0 и на концах отрезка:
4
Использован первый замечательный предел.
Использован второй замечательный предел.
5
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