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Summer school and annual courses for the Unified State Exam 2025 with a mathematician from Moscow State University: https://3.shkolkovo.online/math-msu My Telegram channel: https://t.me/mathmsu Materials for the intensive course SIROP are here: https://mnlp.cc/mini?domain=mathmsu&i... If you are in the 10th grade, then this is where you should go: https://t.me/+yeAlGTQAn5E0ZmZi Everything about the Moscow State University 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 Greetings and connection check 01:30 Intensive course results 02:03 Answers to questions 03:27 Task 1 - corner isosceles triangle 05:15 Task 2 - scalar product of vectors 07:10 Answers to questions 08:01 Task 3 - sphere and cylinder 10:45 Answers to questions 12:40 Summer school 13:55 Task 4 - probability theory 16:10 Answers to questions 17:07 Task 5 - complex probability theory 18:55 Answers to questions 20:11 Task 6 - exponential equation 21:10 Task 7 - logarithmic expression 21:52 Answers to questions 23:36 Task 8 - graph of the derivative of a function 25:14 Task 9 - a problem with practical content 26:24 Answers to questions 28:34 Task 10 - a problem on motion 32:01 Answers to questions 33:56 Task 11 - the value of a function at a point 37:00 Answers to questions questions 39:06 Top training course 39:54 Task 12 - maximum point of a function 41:41 Answers to questions 43:19 Task 13 - trigonometric equation 47:05 Task 13 - selection using a circle 50:49 Answers to questions 54:27 Task 14 - complex stereometry 58:18 Task 14 - proof of a ratio 1:04:08 Answers to questions 1:07:03 Task 14 - distance from a point to a plane 1:17:56 Answers to questions 1:20:14 Task 15 - logarithmic inequality 1:29:45 Answers to questions 1:32:21 Task 16 - economic optimization problem 1:43:14 Answers to questions 1:49:25 Task 17 - complex planimetry 1:51:00 Task 17 - Proof of equality of angles 1:53:40 Answers to questions 1:54:51 Task 17 - Length of a side of a triangle 2:01:30 Answers to questions 2:04:04 Task 18 - An equation has exactly one root 2:20:33 Answers to questions 2:29:32 Breaking Bad 2:30:53 Task 19 - Number theory 2:32:23 Task 19 - point b 2:34:31 Task 19 - point a 2:37:58 Task 19 - point c 2:42:54 Answers to questions 2:49:07 Summing up #ege2024 #earlyege #mathematics ege 2024 ege in mathematics Profile ege Early wave Early ege 2024 Profile Unified State Exam Preparation for the profile Unified State Exam in Mathematics Problems 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 Planimetry Vectors Stereometry Probability Theory Equation Transformation of Expressions Derivative Text Problem with Formula Text Problem Functions and Graphs Function Research Complex Equation Selection of Roots on an Interval Complex Stereometry Problem on Proof in Space Problem on Calculation in Space Complex Inequality Economic Problem Complex Planimetry Planimetric Problem on Proof Planimetric Problem on Calculation Problem with Parameter Number Theory