Ryabushko A.P. IDZ 4.1 option 5

IDZ - 4.1 No. 1.5. It is required to create canonical equations for the following types of curves: a) ellipse; b) hyperboles; c) parabolas. The following variables participate in the equations: A and B - points lying on the curve; F - focus; a - semimajor (real) axis; b - minor (imaginary) semi-axis; ε - eccentricity; y = ±kx - equations of hyperbola asymptotes; D - directrix of the curve; 2c - focal length.

To solve the problem, we are given the following data: a) 2a = 22; ε = √57/11; b) k = 2/3; 2c = 10√13; c) symmetry axis Ox and A(27;9).

No. 2.5. It is necessary to write down the equation of a circle passing through the indicated points and having a center at point A.

To solve the problem, we are given the equation of the ellipse: 9x^2 + 25y^2 = 1, and point A(0;6).

No. 3.5. It is necessary to create an equation of a line, each point M of which satisfies the given conditions: the sum of the squared distances from point M to points A(4;0) and B(-2;2) is equal to 28.

No. 4.5. It is necessary to construct a curve specified in the polar coordinate system: ρ = 2 / (1 + cosφ).

No. 5.5. 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 present to your attention a product - digital product "Ryabushko A.P. IDZ 4.1 option 5". This product is a set of mathematical problems of varying difficulty that will help you consolidate your knowledge of geometry and analytical geometry.

The set of tasks was developed by an experienced mathematics teacher, A.P. Ryabushko, and includes solutions to problems of composing canonical equations for ellipses, hyperbolas, parabolas, writing equations of circles, composing equations of straight lines and curves in polar coordinates, as well as constructing curves using parametric equations.

Beautiful design in HTML format will help you quickly and easily navigate the material and find the tasks you need. In addition, you can easily print out the assignments and solutions for easy reference.

By purchasing "Ryabushko A.P. IDZ 4.1 version 5", you get an excellent tool for improving your knowledge in mathematics and preparing for exams. If you have any questions about the product, feel free to contact us by email. Thank you for your purchase!

The digital product "Ryabushko A.P. IDZ 4.1 version 5" contains a set of mathematical problems of varying complexity in the field of geometry and analytical geometry. The task set contains the following tasks:

1. Drawing up canonical equations for ellipses, hyperbolas, parabolas, where A and B are points lying on the curve, F - focus, a - major (real) semi-axis, b - minor (imaginary) semi-axis, ε - eccentricity, y = ±kx - equations asymptote of the hyperbola, D - directrix of the curve, 2c - focal length. To solve the problem, we are given the following data: a) 2a = 22, ε = √57/11; b) k = 2/3, 2c = 10√13; c) symmetry axis Ox and A(27;9).

2. Writing the equation of a circle passing through the indicated points and having a center at point A. To solve the problem, we are given the equation of an ellipse: 9x^2 + 25y^2 = 1, and point A(0;6).

3. Drawing up an equation of a line, each point M of which satisfies the given conditions: the sum of the squared distances from point M to points A(4;0) and B(-2;2) is equal to 28.

4. Construction of a curve specified in the polar coordinate system: ρ = 2 / (1 + cosφ).

5. Construction of a curve defined by parametric equations (0 ≤ t ≤ 2π).

The set of tasks has a beautiful design in HTML format, which will help you quickly and easily navigate the material and find the tasks you need. You can also easily print out assignments and solutions for ease of use. This product is a great tool for improving your math knowledge and preparing for exams. If you have any questions about the product, you can contact the seller by email.

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Ryabushko A.P. IDZ 4.1 option 5 is a math task that consists of five different tasks. The first problem requires you to construct canonical equations for an ellipse, a hyperbola, and a parabola using given parameters. In the second problem, you need to write down the equation of a circle with given coordinates of the center and the points through which it passes. The third task is to compile an equation of a straight line that satisfies the conditions specified in the problem statement. In the fourth problem, you need to construct a curve in polar coordinates using the given parameters. And finally, the fifth problem requires constructing a curve given by a parametric equation. If you have any questions, you can contact the seller listed in the seller information.

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