IDZ Ryabushko 4.2 Option 26

No. 1. It is necessary to construct surfaces and determine their appearance using the following equations: a) 3x2 – 3y2 – 5z2 + 30 = 0; b) 2x2 + 3z = 0.

No. 2. It is necessary to write down the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis and draw its graph: a) 2y2 = 7z; 0z (rotation axis Oy); b) 6y2 + 5z2 = 30; Oy.

No. 3. It is necessary to construct a body limited by the indicated surfaces: a) z = 2x2 + 3y2; z = 0; x = 2; y = 1; x = 0; y = 0; b) x2 + y2 = 6x; z = 0; z = 2x.

IDZ Ryabushko 4.2 Option 26

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IDZ Ryabushko 4.2 Option 26 is a digital product containing tasks in mathematics and physics for students. This version of the IPD contains three tasks:

1. Construct surfaces and determine their appearance using the equations 3x2 – 3y2 – 5z2 + 30 = 0 and 2x2 + 3z = 0.
2. Write down the equation and determine the type of surface obtained by rotating the line 2y2 = 7z around the Oy axis, as well as by rotating the line 6y2 + 5z2 = 30 around the Oy axis.
3. Construct a body bounded by the surfaces z = 2x2 + 3y2, z = 0, x = 2, y = 1, x = 0, y = 0, as well as the surfaces x2 + y2 = 6x, z = 0, z = 2x.

IDZ Ryabushko 4.2 Option 26 is a useful and effective tool for preparing students for exams and consolidating acquired knowledge in mathematics and physics.

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IDZ Ryabushko 4.2 Option 26 is a set of problems in mathematical analysis and analytical geometry. The set includes the following tasks:

1. Construct surfaces and determine their type: a) 3x^2 – 3y^2 – 5z^2 + 30 = 0; b) 2x^2 + 3z = 0.

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) 2y^2 = 7z; 0z ; b) 6y^2 + 5z^2 = 30; Oy.

3. Construct a body bounded by the specified surfaces: a) z = 2x^2 + 3y^2; z = 0 ; x = 2; y = 1; x = 0; y = 0. b) x^2 + y^2 = 6x; z = 0; z = 2x.

These problems are intended to develop skills in solving problems in analytical geometry and mathematical analysis. Solving problems allows you to consolidate your knowledge of constructing surfaces and bodies, as well as determining their types.

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