Question

Solving rational inequalities that become quadratics

score 76 · Answer 1 · 2018-09-16 08:32:58

76

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Solving rational inequalities that become quadratics

Published on 16 Sep 2018 - 8:32

score 92 · Answer 2 · 2026-03-26 02:35:58

92

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Intuition on inequalities defining halfspaces

Published on 26 Mar 2026 - 2:35

score 187 · Answer 3 · 2026-03-25 19:10:45

187

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Absolute Value Inequalities (Quadratics)

Published on 25 Mar 2026 - 19:10

score 87 · Answer 4 · 2018-09-16 21:58:28

87

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If $x>0$ real number and $n>1$ integer, then $(1+x)^n>\frac{1}{2}n(n-1)x^2$

Published on 16 Sep 2018 - 21:58

score 109 · Answer 5 · 2026-04-01 15:54:12

109

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$|z-w| \leq |w| $ implies $|z+w| \geq |w| $?

Published on 01 Apr 2026 - 15:54

score 162 · Answer 6 · 2018-09-17 05:32:17

162

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How to solve the following system of inequalities rigorously

Published on 17 Sep 2018 - 5:32

score 88 · Answer 7 · 2026-03-25 21:46:47

88

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Prove $(n!) ^2 > n^n$ for all $n > 3$ using Induction

Published on 25 Mar 2026 - 21:46

score 157 · Answer 8 · 2018-09-17 06:59:21

157

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Show that $e^{-t}\int_{0}^{t}\frac{e^{x}}{\sqrt{x}}dx$ is strictly decreasing for $t\geq1$

Published on 17 Sep 2018 - 6:59

score 159 · Answer 9 · 2026-03-25 12:47:19

159

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Proving monotonicity

Published on 25 Mar 2026 - 12:47

score 1.6k · Answer 10 · 2018-09-17 14:09:10

1.6k

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Bernoulli's inequality for rational exponents

Published on 17 Sep 2018 - 14:09

score 259 · Answer 11 · 2018-09-17 21:09:45

259

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How to prove Cauchy-Schwarz inequality using multivariable calculus?

Published on 17 Sep 2018 - 21:09

score 61 · Answer 12 · 2018-09-18 01:00:16

61

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Prove the existence of $t_{0}$ such that $\int_{0}^{t}\frac{\sin{x}}{\sqrt{x}}dx+\sin{t}>0 $ for all $t\geq t_{0}$

Published on 18 Sep 2018 - 1:00

score 366 · Answer 13 · 2018-09-18 04:36:51

366

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Inequalities with single sided absolute values versus double sided absolute values

Published on 18 Sep 2018 - 4:36

score 70 · Answer 14 · 2018-09-18 12:00:32

70

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If $1<a<b$, which of the following is larger than the other: $a\sqrt[3]{b^2}$ and $b\sqrt[3]{a^2}$?

Published on 18 Sep 2018 - 12:00

score 1.2k · Answer 15 · 2018-09-18 14:48:23

1.2k

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Prove that $\sqrt[4]{xyzw} \leq \frac{x+y+z+w}{4}$ for any $x, y, z, w \geq 0$

Published on 18 Sep 2018 - 14:48

List Question

Solving rational inequalities that become quadratics

Intuition on inequalities defining halfspaces

Absolute Value Inequalities (Quadratics)

If $x>0$ real number and $n>1$ integer, then $(1+x)^n>\frac{1}{2}n(n-1)x^2$

$|z-w| \leq |w| $ implies $|z+w| \geq |w| $?

How to solve the following system of inequalities rigorously

Prove $(n!) ^2 > n^n$ for all $n > 3$ using Induction

Show that $e^{-t}\int_{0}^{t}\frac{e^{x}}{\sqrt{x}}dx$ is strictly decreasing for $t\geq1$

Proving monotonicity

Bernoulli's inequality for rational exponents

How to prove Cauchy-Schwarz inequality using multivariable calculus?

Prove the existence of $t_{0}$ such that $\int_{0}^{t}\frac{\sin{x}}{\sqrt{x}}dx+\sin{t}>0 $ for all $t\geq t_{0}$

Inequalities with single sided absolute values versus double sided absolute values

If $1<a<b$, which of the following is larger than the other: $a\sqrt[3]{b^2}$ and $b\sqrt[3]{a^2}$?

Prove that $\sqrt[4]{xyzw} \leq \frac{x+y+z+w}{4}$ for any $x, y, z, w \geq 0$

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