Hi everypony! Here I will publish random problems from the Unified State Exam in specialized mathematics, for which I am preparing, and their solutions in a spoiler. All types of problems on the Unified State Exam: 1. Planimetry 2. Vectors 3. Stereometry 4. Elements of Probability Theory 5. Probabilities of Complex Events 6. Simple Equations 7. Calculations and Transformations 8. Derivative and Antiderivative 9. Problems with Applied Content 10. Text Problems 11. Graphs of Functions 12. Largest and Smallest Values of Functions 13. Equations 14. Stereometry Problem 15. Inequalities 16. Financial Mathematics 17. Planimetry Problem 18. Problem with a Parameter 19. Numbers and Their Properties Problem 2. Vectors. This math problem is taken from the website: https://math-ege.sdamgia.ru/problem?id=644849 Vectors and are depicted on the coordinate plane. Find the scalar product of a multiplied by . Solution to this problem:

Here's another one: https://www.youtube.com/@zunda-theorem-en Advanced math explained by anime characters! (AI generated voices)

Do you have any math-related YouTube channels that you can recommend? Here are a couple of my favorites: https://www.youtube.com/c/Mathologer/videos Very interesting visual explanations of less-known but amazing math facts. https://www.youtube.com/@WrathofMath/videos Discussion of various topics with great sense of humor and unique style using paper and markers.