A. Уравнение первого порядка Найти такую кривую, у которой отрезок касательной, заключенный между осями координат, делится пополам точкой касания. B. Линейное уравнение второго порядка Пружинный маятник движется по закону . 1. Выясните, почему движение маятника описывается уравнением такого вида. (Решение → 692)

Выполнены задания согласно предложенной работы.
Test 2.
I. Переведите предложения, определив функцию инфинитива.
1. Dissimilar metals and alloys are joined to get the final product with qualities of each component. Metals and alloys to be joined are placed close together and are subjected to pressure and shock waves.
2. To strengthen metals is to reinforce them with fibres.
3. To produce changes in physical state a considerable amount of thermal energy must be suplied to metal.
4. A very good practice is to introduce the best scientific inventions into industry.
5. This metal is too brittle to be hammered.
II. Переведите предложения, с предлогом FOR
1. It’s silly for you to be asking me questions.
2. He didn’t mean for you to stay here.
3. Faraday’s work was a great surprise for scientists all over the world.
4. There is no one for the children to play with.
5. It is not the right time for us to speak about it.
III. Задайте все возможные вопросы к этим предложениям.
1. She met the girl at my friends’ last Sunday.
2. Apples were on the plate yesterday..
IV. Определите, какой частью речи является слово с окончанием –ing и переведите эти предложения.
1. The poor peasant thanked Robin Hood heartily for having helped him.
2. Being very ill, he couldn’t go to school.
3. Playing volleyball is a good amusement for young people.
4. The forest resounded with the hooting of owls and howling of wolves.
5. I am sitting in the waiting room at the doctor’s now.
V. Выучите таблицу неправильных глаголов.
Task 1. Read and translate the text.
PULKOVO — RUSSIA'S MAIN OBSERVATORY
Two great observatories, Greenwich and Pulkovo, occupy a leading place among the observatories of the world.
Pulkovo is situated in a hilly area some kilometres from St. Petersburg. 'You can't get to Pulkovo by train: when the railway was being built the astronomers specially asked that it should be kept several kilometres away so that there should be no vibration to affect the sensitive instruments.
The work started in 1839, when the observatory was opened, and it is being continued now. This is the eternal work of astronomers — to define the precise co-ordinates of the stars, to find out the exact "addresses" of heavenly bodies.
But today the scientists also conduct a time service, they study activ¬ity of the Sun, follow the flights of the Earth sputniks and calculate their orbits. The scientists of the observatory have made a valuable contribution1 to the study of the cosmos by observing artificial Earth satellites, man-made moons. The study of their orbits is very important for the flights of manned spaceships.
The Pulkovo observatory has a radioastronomy department equipped with modern apparatus. The big radio telescope installed there is stronger than any other telescope in the world. With the help of this powerful device the scientists of the Pulkovo o
bservatory carry out a number of observations of Venus, Jupiter and other planets. It is necessary that before flying to other planets scientists should get the greatest possible information about the heavenly bodies.
The astronomers have obtained extremely surprising results due to radioastronomical observation! By means of2 the radio telescope some re¬markable studies of the surface of the Sun and of solar activity have been made and a method of investigating the movement of planets has been worked out.
Astronomical observation and cosmic experiments are spheres of scientific research in which broad co-operation of scientists of various countries would be most effective.
Task2. Ответьте на следующие вопросы:
1. What two observatories occupy a leading place in the world?
2. What do some scientists call Pulkovo?
3. Where is Pulkovo situated?
4. Why did the astronomers ask to keep the railway away from Pulkovo?
5. What is the eternal work of astronomers?
6. What other kinds of work do astronomers conduct now?
7. Why is it important to study the orbits of man-made satellites?
8. How do scientists at the Pulkovo observatory carry out observations of Venus, Jupiter and dther planets?