List questions from a-m-g-m-inequality

Published on 17 Oct 2018 - 15:53

143

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Maximise $(x+1)\sqrt{1-x^2}$ without calculus

Published on 18 Oct 2018 - 3:15

402

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Let $a, b, c \in \mathbb{R^+}$ and $abc=8$ Prove that $\frac {ab+4}{a+2} + \frac {bc+4}{b+2} + \frac {ca+4}{c+2} \ge 6$

Published on 25 Mar 2026 - 20:11

1.4k

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Max value of sum of squares

Published on 21 Oct 2018 - 12:13

225

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Infimum and supremum of $x^5y^2z$

Published on 25 Mar 2026 - 17:20

92

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Proving the given inequalities

Published on 26 Oct 2018 - 19:29

115

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Prove following inequality

Published on 28 Oct 2018 - 12:10

77

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Inequality involving a kind of Harmonic mean

Published on 29 Oct 2018 - 10:54

43

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Inequality problem (may be) involving means

Published on 10 Nov 2018 - 11:34

97

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Doubt in proof of AM GM inequality by induction Method

Published on 18 Nov 2018 - 10:50

41

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Inequality of small two numbers with power

Published on 20 Nov 2018 - 19:29

111

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Proof using AM-GM inequality

Published on 25 Mar 2026 - 20:32

89

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Prove or disprove an inequality problem

Published on 30 Nov 2018 - 17:14

117

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Regarding AM-GM inequality

Published on 03 Dec 2018 - 6:31

128

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Find the maximize value of $\sqrt{\frac{a}{a+c}}+\sqrt{\frac{b}{b+c}}-\frac{9\sqrt{c^2+1}}{8c}$

Published on 04 Dec 2018 - 15:18

List Question

Inequality for contests

Maximise $(x+1)\sqrt{1-x^2}$ without calculus

Let $a, b, c \in \mathbb{R^+}$ and $abc=8$ Prove that $\frac {ab+4}{a+2} + \frac {bc+4}{b+2} + \frac {ca+4}{c+2} \ge 6$

Max value of sum of squares

Infimum and supremum of $x^5y^2z$

Proving the given inequalities

Prove following inequality

Inequality involving a kind of Harmonic mean

Inequality problem (may be) involving means

Doubt in proof of AM GM inequality by induction Method

Inequality of small two numbers with power

Proof using AM-GM inequality

Prove or disprove an inequality problem

Regarding AM-GM inequality

Find the maximize value of $\sqrt{\frac{a}{a+c}}+\sqrt{\frac{b}{b+c}}-\frac{9\sqrt{c^2+1}}{8c}$

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