№54439. Объем шара радиусом r равен V=(4*π*r^(3))/3. Запишите радиус шара как функцию объема V → r(V) и посчитайте линейное приближение с помощью r(V) ≈ r(V_(0)) + r'(V_(0)) *(V-V_(0)). На сколько процентов вырастет радиус шара, если объем шара увеличится на 4%?

№54438. Помогите пожалуйста:
1)Записать комплексное число в тригонометрическом виде z=1+√3i
2) Вычислите (cos9°–isin9°)10 , ответ запишите в алгебраической форме.

№54437. Найдите неопределенный интеграл функции y=2 х^3 −6sin 4 x

№54436. Материальная точка движется прямолинейно со скоростью, заданной формулой
υ( t )=1,5 t^5−2t^3 ( м/ мин ) Найдите путь, пройденный точкой за первые две минуты движения.

№54435.
Вычислите определённый интеграл функции y=2 x ( x^2 −8 ) ^2 пределы интегрирования от 3 до 4, применяя метод замены.

№54434. Найдите неопределённый интеграл функции y=( x−12 ) cos6 x , применяя метод интегрирования по частям.

№54433. Вычислить площадь плоской фигуры, ограниченной заданными линиями y=x^2 и y=2 x+3

№54432. Read the text about an ideal family.

Ideal family.

I think, every person always dreams about the place where he can speak about his problems, chat with close friends, where he can feel happy and quiet. For me it is my family and my home. It is the best place in the world and my dearest people live here.

My family is not large we are 4. I have a father, a mother and a brother. We all live together in new flat. My father is 45. He is a tall and well-built man with short black hair and grey eyes. He is quiet and hardworking. Really, he is a bread maker of the family. Dad is handy with many things. His hobby is fixing everything at home. My mother is very lively. She is life and soul of the family. She is a pleasant woman of forty with beautiful chestnut hair and dark brown eyes. She is a lofty ideal for me.

My parents have been married for 20 years they have much in common, everyday life Dad is impractical and needs mother to look after him. Parents have different views on music, books, films. For example, my father likes horror films. My father is a football fan and Mum doesn't like sports. But they try to have the same opinion about the education and upbringing of their children. My brother is only 11. He goes to school. He is funny and curious. He is constantly asking many questions often silly ones. But this only a moment - I can't imagine my life without our little monster. We all feel happy when we are together.

In the evenings we often have little gatherings in the kitchen by the cup of tea, chatting, laughing and discussing the events of the day. Those evening are the best of all. But sometimes I have problems with my parents. They don't like the clothes I wear the music I listen to and the friends I bring home. It's not easy to be a teenager.

In summer I visit my Granny. I love her when I was a child she used to tell me fairytales and stories of her life. My parents are hardworking. They combine work with housekeeping. Mum manages our household very well. We all are in the habit of helping her to run the house. Our relatives and friends like to come to our place. My parents are very hospitable everybody feels at home in their flat.

Write only the words or phrases into each sentence.
1. Her dad is handy with many ___________ .
2. They all feel happy when they are ___________ .
3. We all are in the habit of helping her to run the ___________ .

№54431. Friendship and my best friend.

According to the dictionary friendship is a feeling and behaviour that exists between people, but what these feelings are and what this behaviour is everyone should decide for himself. I consider that friendship is a gift from the God. That's why I highly appreciate it. I think it is hard to find a close friend because people are unique creatures of nature, all of them have their own habits, opinions and judgements which differ from others.

As for me, I'm happy to have lots of friends, some of them are close, some are less, but all of them make my life interesting and enjoyable and I can't imagine my life without them, because friendship means very much for me. Being friends means making allowances for the other person's faults, being tolerant to each other moods. The most important thing about friends for me is being able to share secrets and problems.

But in my opinion it isn't an easy thing to be a true friend and before somebody can name you his best friend you should prove your friendship. Everyone can have only one or two true friends, because a friend to all is a friend to none. I believe that a faithful friend can brighten your life and make it more interesting, vivid and enjoyable. You are interested in your friend with all his positive and negative traits of personality and your friend in his turn can understand and forgive you everything.

What about me, I have known my best friend Natasha almost all my life, but I can never forget our first meeting. It was in summer when our families decided to rest in the south together. When we drove up to their house, my attention was attracted by a little tidy girl in a rose dress, who was sitting and playing with her long blonde curl, but I can't say that my first impressions were the same as my opinion about her now, because when we meet people for the first time we always make a judgment based on their appearance though the proverb tells us not to make such a mistake.

At first ,she seemed to me so correct, obedient and shy that I didn't like her, but when we began to communicate closer I understood I was mistaken. I think it makes a sense to say that when we returned home we were loyal friends.

Today she has changed a lot but we are still best friends and now I think Natasha is a very charming and pretty seventeen-year-old girl. She isn't tall and I can't even say that she is of average height but she is always smart and elegant. Natasha has an attractive face which is broaden with open and frank features. My friend likes casual clothes. Natasha hates skirts and formal blouses, but adores tight-fitting trousers and casual T-shirts. She prefers low-heeled shoes to high-heeled, because they are more comfortable.

It's true that Natasha is a very enthusiastic and active person, you can hardly find her sitting at one place without doing anything but in spite of it she constantly has no free time. My friend is a wonderful person and an optimist; she is never bored but always smiles and laughs, that is why I like her fascinating simile very much.
I believe that friendship should be sincere. In my opinion your friend should be attentive to you, he or she should be reliable, honest and he or she should trust you.

As for our friendship, I'm sure it is strong enough because we trust each other, we always share the same joys and troubles together and we support each other at difficult times.

Write only one word into each sentence.

1. The writer thinks it is hard to find a close friend because people are unique creatures of __________________.
2. The writer thinks that you are interested in your friend with all his positive and negative traits of __________________.
3. The writer believes that friendship should be __________________.

№54430. Задача 2. 10 уроков стоят 18000, нужно 20 в неделю, то есть 80 в месяц, сколько нужно заплатить за неделю, за месяц, за 4 и 5 месяцев, спасибо.

№54429. Как найти абциссу x той точки функции y =([log2(x+3)–log2x]3)/3,ордината которой равна 9.

№54428. 10 уроков стоят 18000 рублей, нужно 20 уроков неделю, сколько заплатят за неделю уроков, месяц, 8 месяцев?

№54427. OA×OK вектор

№54426. OA×OK=?

№54425. Задание 4. На рисунке изображена эукариотическая диплоидная клетка в определённой фазе её деления, при котором происходит рекомбинация генетического материала. Как называется этот тип деления клетки? Какая фаза деления диплоидной клетки изображена на рисунке? По какому признаку Вы определили эту фазу?