AM-GM Inequality

Mathematics

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Qn #1956
The maximum value of $(\cos\alpha_1)(\cos\alpha_2)\cdots(\cos\alpha_n)$ where $0\le \alpha_1,\alpha_2,\ldots,\alpha_n\le\pi$ and $(\cot\alpha_1)(\cot\alpha_2)\cdots(\cot\alpha_n)=1$ is
Qn #1710
The minimum value of $px + qy$ when $xy=r^2$ and $p,q,x,y$ are positive numbers is
Qn #1560
Two non-negative numbers whose sum is 9 and the product of the one number and square of the other number is maximum, are
Qn #1235
The harmonic mean of two numbers is 4. Their arithmetic mean A and the geometric mean G satisfy the relation 2A+G2 = 27, then the two numbers are
Qn #1183
If $a_1, a_2,...a_n$  are positive real numbers whose product is a fixed number c, then the minimum of $a_1, a_2, ....2a_n$ is
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