Question

Maximum length of a side of an acute triangle with a fixed area of 1.

score 61 · Answer 1 · 2026-02-23 10:06:01

61

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Maximum length of a side of an acute triangle with a fixed area of 1.

Published on 23 Feb 2026 - 10:06

score 543 · Answer 2 · 2026-03-29 20:35:36

543

Views

Minimum value of expression $\displaystyle \sqrt{16b^4+(b-33)^2}$

Published on 29 Mar 2026 - 20:35

score 35 · Answer 3 · 2023-10-16 08:03:05

35

Views

Squaring the function in maxima and minima

Published on 16 Oct 2023 - 8:03

score 73 · Answer 4 · 2023-10-21 04:44:50

73

Views

Determine the extremum if any of $f(x,y) = 2x^4 - 3x^2y + y^2$.

Published on 21 Oct 2023 - 4:44

score 75 · Answer 5 · 2026-03-25 12:27:22

75

Views

Max $P= \frac{2ab+3b^2}{(a+3b)^2}+\frac{2bc+3c^2}{(b+3c)^2}+\frac{2ca+a^2}{(c+3a)^2}$

Published on 25 Mar 2026 - 12:27

score 37 · Answer 6 · 2026-03-26 21:14:05

37

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Irregular points for KKT theorem; $\min(x-4)^2+y^2$ for $x^2+y^2-9\le0,-x-3\le0,x-3\le0$ and $-y-2\le0$

Published on 26 Mar 2026 - 21:14

score 60 · Answer 7 · 2026-04-04 15:20:01

60

Views

To find the number of times the function takes the same value in the given interval.

Published on 04 Apr 2026 - 15:20

score 82 · Answer 8 · 2026-03-27 04:23:34

82

Views

Find the max and min of $(a \mathbf{x} + c)(b \mathbf{x} + d)$, where $\mathbf{x}$ is a vector with linear constraints.

Published on 27 Mar 2026 - 4:23

score 25 · Answer 9 · 2023-10-31 19:28:28

25

Views

Finding Equation of Quadratic When Certain Points Are Known

Published on 31 Oct 2023 - 19:28

score 109 · Answer 10 · 2026-03-25 19:00:09

109

Views

Minimizing Absolute Value

Published on 25 Mar 2026 - 19:00

score 24 · Answer 11 · 2026-03-25 14:25:34

24

Views

Is there any kind of distributive law for $c\cdot\max(a,b)$, allowing both signs of $c$?

Published on 25 Mar 2026 - 14:25

score 124 · Answer 12 · 2026-04-06 00:35:40

Finding $\small{\max\limits_{ab+bc+ca=1}\sqrt{\frac{1}{a+1}+\frac{1}{b+1}}+\sqrt{\frac{1}{a+1}+\frac{1}{c+1}}+\sqrt{\frac{1}{c+1}+\frac{1}{b+1}}.}$

score 502 · Answer 13 · 2023-11-03 14:34:08

502

Views

Minimize $P=\dfrac{\sqrt{a+1}+\sqrt{b+1}+\sqrt{c+1}}{\sqrt{ab+bc+ca+6}},$ if $a+b+c+abc=4.$

Published on 03 Nov 2023 - 14:34

score 74 · Answer 14 · 2026-02-23 08:05:00

74

Views

Prove $f(a,b,c)\le f\left(\frac{a+b}{2},\frac{a+b}{2},c\right)$

Published on 23 Feb 2026 - 8:05

score 39 · Answer 15 · 2023-11-08 11:09:12

39

Views

What is a notation for the histogram's bar corresponding to the "leftmost local maxima"?

Published on 08 Nov 2023 - 11:09

List Question

Maximum length of a side of an acute triangle with a fixed area of 1.

Minimum value of expression $\displaystyle \sqrt{16b^4+(b-33)^2}$

Squaring the function in maxima and minima

Determine the extremum if any of $f(x,y) = 2x^4 - 3x^2y + y^2$.

Max $P= \frac{2ab+3b^2}{(a+3b)^2}+\frac{2bc+3c^2}{(b+3c)^2}+\frac{2ca+a^2}{(c+3a)^2}$

Irregular points for KKT theorem; $\min(x-4)^2+y^2$ for $x^2+y^2-9\le0,-x-3\le0,x-3\le0$ and $-y-2\le0$

To find the number of times the function takes the same value in the given interval.

Find the max and min of $(a \mathbf{x} + c)(b \mathbf{x} + d)$, where $\mathbf{x}$ is a vector with linear constraints.

Finding Equation of Quadratic When Certain Points Are Known

Minimizing Absolute Value

Is there any kind of distributive law for $c\cdot\max(a,b)$, allowing both signs of $c$?

Finding $\small{\max\limits_{ab+bc+ca=1}\sqrt{\frac{1}{a+1}+\frac{1}{b+1}}+\sqrt{\frac{1}{a+1}+\frac{1}{c+1}}+\sqrt{\frac{1}{c+1}+\frac{1}{b+1}}.}$

Minimize $P=\dfrac{\sqrt{a+1}+\sqrt{b+1}+\sqrt{c+1}}{\sqrt{ab+bc+ca+6}},$ if $a+b+c+abc=4.$

Prove $f(a,b,c)\le f\left(\frac{a+b}{2},\frac{a+b}{2},c\right)$

What is a notation for the histogram's bar corresponding to the "leftmost local maxima"?

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