Matrix А is a square nonsingular matrix of the third order all elements of which are non-zero. The g...: ответ на тест 1046095 - Математика

Matrix А is a square nonsingular matrix of the third order, all elements of which are non-zero. The greater number of zeros which  A can have, is equal to …

Sequence A[n] of natural numbers from 1 to M is ordered ascending the maximum number obtained from binary representation of a sequence member under cyclic shift preserving the number of digits (the larger umber has the larger ordinal number  for two equal maximum numbers). For example the binary representation for the number 19 will be 10011. The options obtained after cyclic shift will have the following representation:
.
And the maximum number is 28. Thus the sequencing key for number 19 will be 28, the sequencing key for the number say, 1025 will be 1536, etc.
For M=2000 in the position with ordinal number 1234 of the ordered sequence there is the following cardinal number …

When the boat moves on the surface of the water the resistance force of the environment F is directly proportional to the speed v (, where  - coefficient of proportionality). At the moment of the engine shutdown the outboard motorboat is moving at a speed of 224 m/min., and 3 min. later it’s speed is equal to 112 m/min. 9 min. after the engine shutdown the outboard motorboat will be moving at a speed of ______ m/min.

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…

Given that. Then the value of the derivative  will be…

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: