IDZ Ryabushko 4.2 Option 20

No. 1. It is necessary to construct surfaces and determine their appearance in the form of equations: a) 4x2 + 5y2 – 10z2 = 60; b) 7y2 + z2 = 14x2.

No. 2. To obtain a surface, it is necessary to rotate this line around the specified coordinate axis and write down the equation of this surface, as well as make a drawing: a) The line is given by the equation x2 + 2z = 4 and rotates around the Oz axis. The resulting surface equation is: (z^2)/1 + (x^2)/1 = 4. b) The line is given by the equations x = 3 and z = –1 and rotates around the Oy axis. The resulting surface equation is: (y^2)/1 + (z^2)/1 = 1.

No. 3. It is necessary to construct a body limited by the indicated surfaces: a) y = 4x; y = 0; x = 4; z = 0. We obtain a parallelepiped with triangular faces. b) x^2 + y^2 + z^2 = 9; x^2 + z^2 = y^2; x ≥ 0; y ≥ 0; z ≥ 0. We obtain a surface in the shape of a hemisphere in the first octant.

The product "IDZ Ryabushko 4.2 Option 20" is a digital product available in the digital goods store. This product is a solution to problems from the textbook "Informatics and ICT. Grades 10-11" by Ryabushko, version 4.2, number 20.

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Purchasing the product "IDZ Ryabushko 4.2 Option 20" will allow you to receive ready-made solutions to problems from the textbook in electronic form, which greatly simplifies the learning process and increases the efficiency of the educational process.

The product "IDZ Ryabushko 4.2 Option 20" is an electronic textbook containing solutions to problems from the textbook "Informatics and ICT. Grades 10-11" by the author Ryabushko, 4.2 option, number 20. The textbook discusses problems in mathematics and computer science, including the construction of surfaces and tel.

In the first task, you need to construct surfaces and determine their appearance in the form of equations. This requires using knowledge from geometry and algebra. The second task is to write an equation and determine the type of surface obtained by rotating a given line around a specified coordinate axis. To do this you need to know the basics of analytical geometry.

The third task is related to the construction of a body limited by given surfaces. Here it is necessary to use knowledge of set theory and geometry.

Purchasing the product "IDZ Ryabushko 4.2 Option 20" will allow you to receive ready-made solutions to problems from the textbook in electronic form, which greatly simplifies the learning process and increases the efficiency of the educational process. In addition, the beautiful design of the html page provides convenient and easy access to materials on any device.

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IDZ Ryabushko 4.2 Option 20 is a set of mathematics problems in which you need to complete the following tasks:

1. Construct surfaces and determine their type:

   • а) 4x2 + 5y2 – 10z2 = 60;
   • b) 7y2 + z2 = 14x2.

2. Write down the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, make a drawing:

   • a) x2 + 2z = 4; rotation axis - Oz;
   • b) x = 3; z =– 1; rotation axis - Oy.

3. Construct a body bounded by the specified surfaces:

   • а) y = 4x; y = 0; x = 4; z = 0;
   • б) x2 + y2 + z2 = 9; x2 + z2 = y2; x ≥ 0; y ≥ 0; z ≥ 0.

Thus, Ryabushko IDZ 4.2 Option 20 is a task of constructing surfaces, determining their type, finding a body bounded by surfaces, as well as constructing surfaces obtained as a result of rotating lines around given coordinate axes.

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