1. Чтобы узнать четность функции, достаточно знать определение четной и нечетной функций... f(x)=f(-x) - четная, f(-x)=-f(-x) - нечетная. То есть достаточно поменять знак перед x и посмотреть как ведет себя функция от этого аргумента... f(x)=cosx-x² f(-x)=cos(-x)-(-x)² = cosx-x² = f(x), значит, функция четная. 2. Для того, чтобы найти наибольшее и наименьшее значения функции, (в большинстве случаев!) необходимо найти производную данной функции и приравнять ее к нулю и рассмотреть эти значения на интервалах... f(x)=3sinx*cosx+1 f'(x)= (3sinx*cosx+1)' = 3cos2x 3cos2x = 0; cos2x = 0; 2x = x = Тут будет так: ymin = ymax =
1. You need to take a taxi if you want to catch a train. 2. Children should not play with matches. 3. We need to talk about this tomorrow. 4. That morning I had to go to the bank and so I was late for work. 5. He did not have to get up early, he had a vacation, 6, you must get off at the next stop 7. They are bound to help you in this situation. 8. Did they have to wait a long time for the train? 9. You do not need to speak Russian in English lessons. 10. We had to stay at home yesterday, because it was raining heavily, 11. They do not need to come here every day 12. Students will have to stay after school 13. Do we need to prepare reports for the next lesson? Yes. 14. When will he have to answer all the letters? 15. Adult children should take care of their parents. 16. You had to stay after work, did not you?
f(x)=cosx-x²
f(-x)=cos(-x)-(-x)² = cosx-x² = f(x), значит, функция четная.
2. Для того, чтобы найти наибольшее и наименьшее значения функции, (в большинстве случаев!) необходимо найти производную данной функции и приравнять ее к нулю и рассмотреть эти значения на интервалах...
f(x)=3sinx*cosx+1
f'(x)= (3sinx*cosx+1)' = 3cos2x
3cos2x = 0;
cos2x = 0;
2x =
x =
Тут будет так: ymin =
ymax =
2. Children should not play with matches.
3. We need to talk about this tomorrow.
4. That morning I had to go to the bank and so I was late for work.
5. He did not have to get up early, he had a vacation,
6, you must get off at the next stop
7. They are bound to help you in this situation.
8. Did they have to wait a long time for the train?
9. You do not need to speak Russian in English lessons.
10. We had to stay at home yesterday, because it was raining heavily,
11. They do not need to come here every day
12. Students will have to stay after school
13. Do we need to prepare reports for the next lesson? Yes.
14. When will he have to answer all the letters?
15. Adult children should take care of their parents.
16. You had to stay after work, did not you?