edited by
306 views
1 votes
1 votes

Let $S$ be the set of all tuples $(x, y)$ with $x, y$ non-negative real numbers satisfying $x + y = 2n$, for a fixed $n \in \mathbb{N}$. Then the supremum value of

$x^{2}y^{2}(x^{2}+y^{2})$ 

on the set $S$ is 

  1. $3n^{6}$
  2. $2n^{6}$ 
  3. $4n^{6}$
  4. $n^{6}$
edited by

Please log in or register to answer this question.

Answer:

Related questions

3 votes
3 votes
1 answer
1
makhdoom ghaya asked Dec 17, 2015
1,149 views
Let $G$ be a group and let $H$ and $K$ be two subgroups of $G$. If both $H$ and $K$ have $12$ elements, which of the following numbers cannot be the cardinality of the se...
3 votes
3 votes
0 answers
2
1 votes
1 votes
0 answers
3
makhdoom ghaya asked Dec 17, 2015
363 views
Which of the following groups are isomorphic? $\mathbb{R}$ and $C$ $\mathbb{R}^{*}$ and $C^{*}$ $S_{3}\times \mathbb{Z}/4$ and $S_{4}$ $\mathbb{Z}/2\times \mathbb{Z}/2$ a...
2 votes
2 votes
4 answers
4
makhdoom ghaya asked Dec 17, 2015
2,664 views
Let $H_{1}$, $H_{2}$ be two distinct subgroups of a finite group $G$, each of order $2$. Let $H$ be the smallest subgroup containing $H_{1}$ and $H_{2}$. Then the order o...