10.2
Problems(3)
min |a-1|+|b-2|+c-3|+|3a+2b+c| (II Soros Olympiad 1995-96 R1 10.2)
Source:
6/3/2024
Find the smallest value that the expression can take
(, and are arbitrary numbers).
algebrainequalities
swap digits in 1st and 5th place (II Soros Olympiad 1995-96 R2 10.2)
Source:
6/3/2024
Find a number that increases by a factor of if the digits in the first and fifth places after the decimal place are swapped in its decimal notation.
number theoryDigits
sin 28^o ? tg21^o (II Soros Olympiad 1997-98 R3 10.2)
Source:
6/6/2024
Without using a calculator, find out what is greater: or ?
algebratrigonometry