IDZ Ryabushko 4.1 Option 15

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"IDZ Ryabushko 4.1 Option 15" is a digital product intended for students who study mathematics and solve problems as part of Individual Homework (IDH). This product contains detailed solutions to problems from Ryabushko's assignment 4.1 Option 15, which allows students to better understand the material and improve their knowledge and skills in mathematics.

The product is designed in a beautiful and convenient HTML format, which provides easy access to information and ease of use. Each solution to a problem is accompanied by a step-by-step explanation, which makes it easy to understand the solution method and the process of solving the problem itself.

"IDZ Ryabushko 4.1 Option 15" is an excellent digital product for students who are looking for high-quality solutions to problems to improve their knowledge in mathematics. This product provides useful information in an easy-to-read format, making it appealing to students of all skill levels.

IDZ Ryabushko 4.1 Option 15 is a digital product containing detailed solutions to problems from Ryabushko’s assignment 4.1 Option 15 for students studying mathematics and solving problems as part of Individual Homework (IDH). The product is presented in a convenient HTML format, which provides easy access to information and ease of use. Each solution to a problem is accompanied by a step-by-step explanation, which makes it easy to understand the solution method and the process of solving the problem itself.

In task No. 1, you need to create canonical equations for an ellipse, hyperbola and parabola passing through points A and B, as well as determine foci, semi-axes, eccentricity, equations of asymptotes and directrixes. In task No. 2 you need to write down the equation of a circle with a center at point A and passing through the foci of the hyperbola. In task No. 3 you need to create an equation of a straight line, each point of which is located from the straight line x=9 at a distance four times less than from the point A(-1;2). In task No. 4 it is necessary to construct a curve in the polar coordinate system, given by the equation ρ = 6·sin 4φ. In task No. 5 you need to construct a curve defined by parametric equations in the range from 0 to 2π.

"IDZ Ryabushko 4.1 Option 15" is an excellent digital product for students who are looking for high-quality problem solutions to improve their knowledge in mathematics. This product provides useful information in an easy-to-read format, making it appealing to students of all skill levels.

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IDZ Ryabushko 4.1 Option 15 is a problem complex of several tasks in mathematics. It includes the following tasks:

1. Compose canonical equations for the ellipse, hyperbola and parabola passing through points A and B, provided that the foci F, the semimajor axis a, the semiminor axis b, the eccentricity ε, the equations of the asymptotes of the hyperbola y = ± kx and the directrix D are known. For this it is necessary use the data given in the task.
2. Find the equation of a circle passing through the given points and having a center at point A. To do this, you need to use the equation of a circle in general form and substitute the known coordinates of the points and the center.
3. Write an equation of a straight line, each point of which is distant from the straight line x = 9 at a distance four times less than from the point A(-1,2). To do this, use the formula for the distance between a point and a line and substitute known values.
4. Construct a curve given in polar coordinates by the equation ρ = 6·sin 4φ. To do this, you need to plot the function on a given interval of angular values ​​φ.
5. Construct a curve defined by parametric equations in the interval from 0 to 2π. To do this, you need to build a graph by substituting the t values ​​into the expressions for the x and y coordinates.

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