Summer school with MSU Mathematician and annual courses: https://3.shkolkovo.online/math-msu All announcements and mathematical activity in Andrey Pavlikov's Telegram: https://t.me/mathmsu Intensive course on the first part: https://3.shkolkovo.online/math-msu If you are in the 10th grade, then this is the place for you: https://t.me/+yeAlGTQAn5E0ZmZi Everything about MSU DWI is here: https://t.me/+hNmZJa59rY9hMjli VK group: https://vk.com/hitman_math Tik-Tok: / hitman_math My Instagram: / andreypavlikov_math Time codes: 00:00 Greeting and connection check 01:06 Getting to know AN 01:41 Social networks 02:21 Free intensive course Syrup 03:12 What awaits us in the lesson 04:55 Answers to questions 08:23 Task 1 - the radius of the circumscribed circle 10:08 Answers to questions 10:29 Task 2 - vectors and a regular hexagon 13:36 Answers to questions 15:29 Task 3 - the distance from a point to a plane 20:56 Answers to questions 24:39 About probability theory 25:46 Task 4 - probability theory 27:01 Task 5 - complex probability theory 29:39 Answers to questions 35:31 Task 6 - trigonometric equation 39:43 Answers to questions 40:49 Summer school 2024 43:25 Task 7 - the meaning of an expression, trigonometry 45:54 Answers to questions 48:01 Task 8 - normal and tangent 54:00 Answers to questions 56:55 Task 9 - a problem with practical content 58:50 Answers to questions 1:00:33 Task 10 - motion in a circle 1:11:43 Answers to questions 1:12:58 Task 11 - hyperbola and the value of a function 1:18:14 Answers to questions 1:18:55 Where to find useful information 1:20:22 Task 12 - a local minimum point 1:26:46 What to do the day before the Unified State Exam 1:27:12 Preparation for the DVI 1:28:50 Answers to questions 1:30:31 Task 13 - exponential equation 1:36:16 Task 13 - selection of roots 1:44:30 Answers to questions 1:49:35 Task 14 - complex stereometry 1:51:53 Task 14 - proof 1:55:53 Task 14 - Volume of a cylinder 2:04:36 Answers to questions 2:06:44 Task 15 - Mixed inequality 2:18:43 Answers to questions 2:19:30 Summer course schedule 2:20:22 How to get summer school as a gift 2:21:09 Answers to questions 2:21:46 Task 15 - Generalized interval method 2:24:40 Answers to questions 2:29:23 Task 16 - Economic problem for a loan 2:39:19 Answers to questions 2:43:21 Task 17 - Complex plane geometry 2:45:37 Task 17 - Property of the bisector of the external angle of a triangle 2:53:43 Task 17 - Radius of the circumscribed circle 3:00:39 Answers to questions 3:03:14 Task 18 - the equation has exactly one solution 3:15:42 Answers to questions 3:18:00 Task 19 - number theory 3:19:25 Task 19 - points a and b 3:24:44 Task 19 - point c 3:29:20 Answers to questions 3:30:17 About relax stream and answers to questions 3:34:49 Course to prepare for DVI 3:35:49 Where to find information about the summer school 3:38:32 Bundles for several subjects 3:39:07 Answers to questions and lesson results #mathematics #ege2024 #drainege EGE 2024 EGE in mathematics Profile EGE Drain EGE 2024 Preparation for the profile EGE in mathematics Problems 1-19 First part Second part Planimetry Vectors Stereometry Probability theory Complex probability theory Equation Transformation of expressions Derivative Text problem with practical content Text problem Functions and graphs Study of function Complex equation Complex stereometry Problem on proof Problem on calculation Complex inequality Economic problem Complex plane geometry Problem with parameter Number theory