IDZ - 4.1 No. 1.9. It is necessary to create canonical equations for the following curves: a) ellipse; b) hyperboles; c) parabolas. For this purpose, points A and B lying on the curve, focus F, semi-major axis a, semi-minor axis b, eccentricity ε, equations of the asymptotes of the hyperbola y = ± kx, directrix D of the curve, focal length 2c are given. Given: a) A(0;√3); B(√14/3;1); b) k = √21/10; ε = 11/10; c) D: y = – 4.
No. 2.9. It is necessary to write down the equation of a circle passing through the indicated points and having a center at point A. Given: the foci of the hyperbola 4x^2– 5y^2 = 80; A (0;–4).
No. 3.9. It is necessary to create an equation of a line, each point M of which satisfies the given conditions. The distance of each point on this line from the straight line y = 7 is 5 times greater than from point A(4;–3).
No. 4.9. It is necessary to construct a curve specified in the polar coordinate system: ρ = 4·sin 3φ.
No. 5.9. 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 product "Ryabushko A.P. IDZ 4.1 version 9".
This digital product is a set of math problems developed by A.P. Ryabushko. The set includes tasks for composing canonical equations for various types of curves (ellipses, hyperbolas, parabolas), writing the equation of a circle with given foci and center, composing an equation of a straight line with given conditions, and much more.
Each task is designed as a separate block with a beautiful HTML design, which allows you to conveniently view and solve problems online.
The product "Ryabushko A.P. IDZ 4.1 version 9" is ideal for students, teachers and anyone who is interested in mathematics and wants to improve their skills in this area. Buy our product and see for yourself its usefulness and ease of use!
"Ryabushko A.P. IDZ 4.1 version 9" is a digital product that is a set of problems in mathematics. This set contains tasks for composing canonical equations for various types of curves (ellipses, hyperbolas, parabolas), writing the equation of a circle with given foci and center, composing an equation of a straight line with given conditions, and much more.
Each task is designed as a separate block with a beautiful HTML design, which allows you to conveniently view and solve problems online. The product "Ryabushko A.P. IDZ 4.1 version 9" is ideal for students, teachers and anyone who is interested in mathematics and wants to improve their skills in this area.
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Ryabushko A.P. IDZ 4.1 version 9 is a math problem book containing 5 tasks of varying complexity related to curves in space. The problem book contains many conditions and parameters that must be used to construct equations for canonical forms of curves (ellipses, hyperbolas, parabolas), as well as problems for constructing curves in polar and parametric coordinate systems. The problem book is intended for students and students studying mathematics at intermediate and higher levels.
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