Ryabushko A.P. IDZ 4.1 option 2

IDZ - 4.1 No. 1.2. It is necessary to create a canonical equation for the following curves: a) ellipse; b) hyperboles; c) parabolas. In each case, given are points A and B lying on the curve, focus F, semi-major axis a (real) and semi-minor axis b (imaginary), eccentricity ε, equations of the hyperbola asymptotes y = ± kx, directrix D and focal length 2c. Given: a) b = 2; F(4√2;0); b) a = 7; ε =√85/7; c) D: x = 5.

No. 2.2. It is necessary to write down the equation of a circle with a center at point A and passing through the indicated points. Given: vertices of the hyperbola 4x^2 – 9y^2 = 36; A(0;4).

No. 3.2. It is necessary to create an equation of a line, each point of which satisfies the given conditions. The distance from point M to the straight line x = –2 is twice as large as the distance from point M to point A(4;0).

No. 4.2. It is necessary to construct a curve specified in the polar coordinate system: ρ = 2·(1 – sin^2φ).

No. 5.2. It is necessary to construct a curve defined by parametric equations (0 ≤ t ≤ 2π).

This digital product is a solution to problems from IPD 4.1 option 2, developed by A.P. Ryabushko.

The product contains:

• Canonical equations for ellipse, hyperbola and parabola, showing points on the curve, focus, semi-major and minor axes, eccentricity, equations of asymptotes, directrix and focal length.
• Equation of a circle with its center at a given point and passing through the specified points.
• Equation of a line with given conditions.
• Parametric equation of a curve defined in a polar coordinate system.

The product is designed in an attractive HTML format, making it easy to read and use. Solving problems includes detailed explanations and step-by-step instructions, which will make it easy to understand the material and successfully complete the task.

By purchasing this digital product, you receive a useful tool for studying and improving your knowledge in the field of mathematics.

This product is a solution to problems from IPD 4.1 option 2, developed by A.P. Ryabushko. The product includes canonical equations for the ellipse, hyperbola and parabola, indicating points on the curve, focus, semi-major and minor axes, eccentricity, equations of asymptotes, directrix and focal length. Also included is the equation of a circle with its center at a given point and passing through the specified points, the equation of a line with given conditions, and the parametric equation of a curve defined in a polar coordinate system. The product is designed in an attractive HTML format, making it easy to read and use. Solving problems includes detailed explanations and step-by-step instructions, which will make it easy to understand the material and successfully complete the task. By purchasing this digital product, you receive a useful tool for studying and improving your knowledge in the field of mathematics. If you have any questions, you can contact the seller at the address provided in "seller information".

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Ryabushko A.P. IDZ 4.1 option 2 is a set of mathematics problems consisting of five numbers. In the first issue, it is necessary to compose canonical equations for the ellipse, hyperbola and parabola, having given points, focus, semi-axes, eccentricity, asymptotes and directrix. In the second issue, you need to write down the equation of a circle passing through given points and having a given center. In the third issue, you need to create an equation of a line, each point of which is located at a certain distance from a given straight line and a given point. In the fourth issue it is necessary to construct a curve specified in the polar coordinate system. And finally, in the fifth issue it is necessary to construct a curve defined by parametric equations. If you have any questions, you can contact the seller via the email provided.

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