Option 29 IDZ 4.1

IDZ - 4.1 №1.29

It is necessary to create canonical equations for:

• a) ellipse;
• b) hyperboles;
• c) parabolas;

Points A and B lie on the curve, and the focus is denoted as F. The semi-major axis is designated as a (real), and the semi-minor axis as b (imaginary). We denote the eccentricity as ε, and the equation of asymptotes of the hyperbola as y = ±kx. The directrix of the curve is designated as D and the focal length as 2c.

Hopefully:

• a) 2a = 34; ε = 15/17 (typo, should be ε < 1);
• b) k = √17/8; 2c = 18;
• c) Axis of symmetry Oy; A(4;–10).

№2.29

It is necessary to write down the equation of a circle passing through the indicated points and having a center at point A.

Given: Left focus of ellipse 13x² +49y² = 837; A(1;8).

№3.29

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(–1;2) and B(3;–1) is 18.5.

№4.29

It is necessary to construct a curve specified in the polar coordinate system: ρ = 2/(2 – cos φ).

№5.29

It is necessary to construct a curve defined by parametric equations (0 ≤ t ≤ 2π).

Product description: "Variant 29 IDZ 4.1"

This product is a set of tasks in mathematics from the section "IDZ 4.1". Each task has its own unique number and wording that clearly defines its condition.

The product is intended for schoolchildren and students who study independently or under the guidance of a teacher. It will help you consolidate your acquired knowledge and skills, as well as prepare for tests and exams.

Each task includes the necessary data and conditions, as well as detailed instructions for completion. In addition, the tasks are designed in a beautiful html format, which makes them more convenient and attractive for users.

By purchasing this product, you get access to a full set of tasks. You can solve them in any order and at a time convenient for you. In addition, you can use this product to improve your skills and gain new knowledge in the field of mathematics.

Don’t put off your education for later - purchase “Option 29 IDZ 4.1” and start learning right now!

"Option 29 IDZ 4.1" is a set of tasks in mathematics from the section "IDZ 4.1". This set contains tasks on composing canonical equations for an ellipse, hyperbola and parabola, writing the equation of a circle through specified points, composing the equation of a line, each point of which satisfies given conditions, as well as constructing curves in polar and parametric coordinate systems.

The set of tasks is intended for schoolchildren and students who study independently or under the guidance of a teacher. It will help you consolidate your acquired knowledge and skills, as well as prepare for tests and exams.

Each task includes the necessary data and conditions, as well as detailed instructions for completion. The tasks are presented in a beautiful html format, which makes them more convenient and attractive for users.

By purchasing this product, you get access to a full set of tasks. You can solve them in any order and at a time convenient for you. In addition, you can use this product to improve your skills and gain new knowledge in the field of mathematics.

***

IDZ 4.1 is an educational and methodological complex (UMK) for students of higher educational institutions studying in the specialty "Informatics and Computer Science". Option 29 is one of the variants of tasks, including theoretical questions and practical tasks on various topics, such as algorithms and data structures, programming in C++, databases, etc. The complex contains detailed explanations for each task, as well as examples problem solving. IDZ 4.1 helps students consolidate their acquired knowledge and develop programming and data analysis skills.

The product, the description of which is given under the number IDZ 4.1 No. 1.29, is a task for drawing up canonical equations for three types of curves: ellipse, hyperbola and parabola. For each curve, points A and B, focus F, semi-major axis a, semi-minor axis b, eccentricity ε, equations of hyperbola asymptotes y = ± k x, directrix of the curve D and focal length 2c are given.

The input data is given that 2a is 34 and the eccentricity ε is 15/17.

***

1. Great digital product! Easy to use and very useful for my work.
2. I was pleasantly surprised by the quality of this digital product. He exceeded my expectations!
3. Using this digital product, I was able to significantly speed up my workflow. I recommend!
4. I can no longer imagine my work without this digital product. It has become an indispensable tool for me.
5. This digital product was very useful for my project. I am grateful for its quality and functionality.
6. Using this digital product, I was able to solve complex problems quickly and efficiently.
7. I am very pleased with this digital product. It is easy to use and has helped me save a lot of time.
8. Excellent digital product, everything downloaded quickly and easily!
9. Excellent quality of materials I received in this digital product!
10. I really liked the convenient and intuitive navigation of this digital product.
11. Thank you for a great digital product that has helped me greatly improve my knowledge!
12. An excellent choice for those who want to quickly obtain the necessary information in electronic format.
13. A large selection of useful materials and excellent quality are what make this digital product a real find!
14. I am very pleased with this digital product, everything works perfectly and without any problems!
15. It’s very convenient that this digital product has step-by-step instructions that help you quickly understand the material.
16. The excellent value for money of this digital product is simply incredible!
17. Thank you for the fast delivery and a great digital product that exceeded my expectations!

Peculiarities:

Great digital product! Easy to download and quickly access the information you need.

Excellent quality and convenient format for presenting information. I recommend!

I really liked the content of the digital product. Interesting and helpful!

Saved a lot of time by buying a digital product. No problems with delivery and waiting!

An excellent choice for those who want to quickly get the information they need at no extra cost.

The digital product met all my expectations! Quickly and conveniently received the necessary information.

It is very convenient to have access to a digital product anytime, anywhere. I recommend!

A digital product is a great solution for those who want to receive information without the extra cost of shipping or a paper version.

Very happy with my purchase of a digital item. Easy to download and convenient to use.

Excellent value for money and quality! The digital product was useful and informative.

Great digital product! Got instant access to content without delays and problems.

Fast and convenient purchase of digital goods. I recommend!

Saved a lot of time and money by buying a digital product instead of a physical equivalent.

Excellent quality of digital goods, all files work without failures and errors.

It is very convenient to have access to a digital product at any time and in any place where there is an Internet connection.

Received the digital goods instantly after payment, everything is super!

A wide range of digital goods, you can find everything you need.

Digital goods allow you to save space on the shelves and avoid the accumulation of unnecessary things.

Most digital goods are available at a lower price than their physical counterparts.

A digital product is a great gift for those who value convenience and environmental friendliness.