There are natural numbers m & n. Find all the fractions m/n whose denominator is smaller than the
numerator by 16, the fraction itself is smaller than the sum of the trebled
inverse and 2, and the numerator is not greater than 30.
Subscribe to:
Post Comments (Atom)
Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, ...
-
Find all polynomial \(P(x)\) with degree \(\leq n\) and non negative coefficients such that \[P(x)P(\frac{1}{x})\leq P(1)^2\]for all positiv...
-
Find the number of ways \(66\) identical coins can be separated into three nonempty piles so that there are fewer coins in the first pile th...
-
A moth starts at vertex A of a certain cube and is trying to get to vertex B, which is opposite A, in five or fewer “steps,” where a step ...
No comments:
Post a Comment