Вопрос № 1046097 - Математика
Captain Silver buried treasure on a desert island. There are only two palms on this island: a small one and a big one. They are situated at a distance of 400 m from each other. Silver told the rest of the pirates that the treasure is located at a three times greater distance from the small palm than from the big one. If L is the largest possible length of the ditch the pirates have to dig to find the treasure, then the value of the expression 
is equal to…
is equal to…
Вопрос задал(а): Анонимный пользователь, 13 Ноябрь 2020 в 17:57
На вопрос ответил(а): Анастасия Степанова, 13 Ноябрь 2020 в 17:57
На вопрос ответил(а): Анастасия Степанова, 13 Ноябрь 2020 в 17:57
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Captain Silver buried treasure on a desert island. There are only two palms on this island: a small one and a big one. They are situated at a distance of 400 m from each other. Silver told the rest of the pirates that the treasure is located at a three times greater distance from the small palm than from the big one. If L is the largest possible length of the ditch the pirates have to dig to find the treasure, then the value of the expression 
is equal to…
is equal to…
Выберите название города, о котором идёт речь в тексте
It is one of the largest cities in the world. It was founded three hundred years ago at the mouth Hudson River. The centre of this city is Manhattan Island. There are many skyscrapers, banks and offices of American businessmen in Manhattan. Broadway begins here; the Stock Exchange is located here. Numerous bridges link Manhattan Island with the other parts of the city.
People from almost all parts of the world live in this city. It is even called “Modern Babylon”
It is one of the largest cities in the world. It was founded three hundred years ago at the mouth Hudson River. The centre of this city is Manhattan Island. There are many skyscrapers, banks and offices of American businessmen in Manhattan. Broadway begins here; the Stock Exchange is located here. Numerous bridges link Manhattan Island with the other parts of the city.
People from almost all parts of the world live in this city. It is even called “Modern Babylon”
Los Angeles
Washington
Chicago
New York
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Given that
. Then the value of the derivative 
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It is known that at the moment t=0 the temperature of the body was T0. Let us place it into the environment with the temperature θ and believe that at any moment of the time the body is equally warmed by volume, the temperature of the environment is constant. The rate of change of the body temperature is proportional to the desired conditions with the proportionality coefficient k>0.
Determine the correspondence between the mathematical model, describing the action of heating (T0<θ) or cooling (T0>θ) of the body, correlation of temperatures and the kind of dependence:
1. T0 <θ, the rate of change of the body temperature is proportional to the difference of the current body temperature T(t) and the environment temperature θ;
2. T0 <θ, the rate of change of the body temperature is proportional to the difference of the initial body temperature and the environment temperature;
3. T0 >θ, the rate of change of the body temperature is proportional to the difference of the current body temperature and the environment temperature;
4. T0 >θ, the rate of change of the body temperature is proportional to the difference of the initial body temperature and the environment temperature.
Mathematical models:
Determine the correspondence between the mathematical model, describing the action of heating (T0<θ) or cooling (T0>θ) of the body, correlation of temperatures and the kind of dependence:
1. T0 <θ, the rate of change of the body temperature is proportional to the difference of the current body temperature T(t) and the environment temperature θ;
2. T0 <θ, the rate of change of the body temperature is proportional to the difference of the initial body temperature and the environment temperature;
3. T0 >θ, the rate of change of the body temperature is proportional to the difference of the current body temperature and the environment temperature;
4. T0 >θ, the rate of change of the body temperature is proportional to the difference of the initial body temperature and the environment temperature.
Mathematical models:
All infinitely differentiable functions, which obey the identity
, have the appearance of…
, have the appearance of… 
If 
, then 
is equal to …
, then is equal to …