Ryabushko A.P. IDZ 4.1 version 17

IDZ - 4.1 No. 1.17. It is necessary to create canonical equations for the following curves: a) ellipse; b) hyperboles; c) parabolas. Points A and B lie on the curve, F - focus, a - major (real) semi-axis, b - minor (imaginary) semi-axis, ε - eccentricity, y = ± kx - equations of hyperbola asymptotes, D - directrix of the curve, 2c - focal length . Given: a) 2a = 22; ε = 10/11; b) k = √11/5; 2c = 12; c) axis of symmetry Ox and A(–7;5).

No. 2.17. It is necessary to write down the equation of a circle with center at point A passing through the indicated points. Given: left focus of the ellipse 3x^2 + 7y^2 = 21; A(–1; –3).

No. 3.17. It is necessary to create an equation of a line, each point M of which satisfies the given conditions. The sum of squared distances from point M to points A(–3; 3) and B(4; 1) is 31.

No. 4.17. It is necessary to construct a curve specified in the polar coordinate system: ρ = 3/(1 – cos 2φ).

No. 5.17. It is necessary to construct a curve defined by parametric equations (0 ≤ t ≤ 2π).

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Welcome to our digital goods store! We are pleased to present you the digital product "Ryabushko A.P. IDZ 4.1 version 17". This product is a set of 5 tasks related to composing canonical equations for various types of curves, writing equations of circles and lines, and constructing curves in polar and parametric coordinate systems.

Beautiful design in HTML format makes using this product even more convenient and enjoyable. Each task has its own unique number and contains a detailed description of the conditions of the task, as well as instructions for solving it.

Using this product, you can easily and quickly understand the principles of drawing up canonical equations for various types of curves, writing equations of circles and lines, as well as constructing curves in polar and parametric coordinate systems.

Don't miss the opportunity to purchase this digital product and improve your math knowledge!

The digital product "Ryabushko A.P. IDZ 4.1 version 17" contains a set of 5 tasks related to mathematical curves and their equations. In the first task, you need to create canonical equations for an ellipse, hyperbola and parabola, having given parameters of the curves. In the second task, you need to write down the equation of a circle with its center at point A, passing through the indicated points. In the third task, you need to create an equation of a line, each point of which satisfies the given conditions. In the fourth task, you need to construct a curve specified in the polar coordinate system. In the fifth task you need to construct a curve defined by parametric equations in the interval from 0 to 2π. Each task has its own unique number and contains a detailed description of the conditions of the task and instructions for solving it. All products are designed in beautiful HTML format for easy use. This product will help improve knowledge in the field of mathematics and understand the principles of drawing up equations for various types of curves, writing equations of circles and lines, as well as constructing curves in polar and parametric coordinate systems.

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Ryabushko A.P. IDZ 4.1 version 17 is a set of tasks in mathematics, consisting of five tasks:

1. It is necessary to compose the canonical equation of an ellipse, hyperbola and parabola, knowing points A and B, focus F, semi-major axis a, semi-minor axis b, eccentricity ε, equations of asymptotes of the hyperbola y=±kx, directrix of the curve D and focal length 2c. In each item of the task, the corresponding parameter values ​​are given.

2. It is necessary to write down the equation of a circle passing through the specified point A and having a center at point A. It is known that the left focus of the ellipse 3x2+7y2=21 is located at the given point.

3. It is necessary to construct an equation of a line, each point of which satisfies the condition of the sum of the squares of the distances to the given points A and B, equal to 31.

4. It is necessary to construct a curve defined in the polar coordinate system by the equation ρ=3/(1-cos2φ).

5. It is necessary to construct a curve given by a parametric equation in parametric form, where t varies from 0 to 2π.

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