Question

Find the maximum value of $ab+bc+cd+de+ef+fa,$ given that $a+b+c+d+e+f=1$

score 187 · Answer 1 · 2026-03-29 12:41:02

187

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Find the maximum value of $ab+bc+cd+de+ef+fa,$ given that $a+b+c+d+e+f=1$

Published on 29 Mar 2026 - 12:41

score 89 · Answer 2 · 2023-02-06 14:09:32

89

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Just making sure: the set of strict local maxima (maxima points, not maxima values) of a continuous function $f: ℝ^n \to ℝ$ is countable, right?

Published on 06 Feb 2023 - 14:09

score 31 · Answer 3 · 2023-02-07 13:35:50

31

Views

Find the maximum value of product of three perpendiculars

Published on 07 Feb 2023 - 13:35

score 52 · Answer 4 · 2023-02-09 15:11:14

52

Views

$x_0$ is a global minimum over $X \Leftrightarrow\nabla f(x_0)^T(y-x_0)\geq 0$ for all $y\in X$

Published on 09 Feb 2023 - 15:11

score 96 · Answer 5 · 2023-02-09 17:51:19

96

Views

How do I estimate the minimum and the maximum values of normally disributed data

Published on 09 Feb 2023 - 17:51

score 161 · Answer 6 · 2026-03-29 17:44:17

161

Views

How to minimize the distance between the point $(-1,0)$ and the curve $y^2 - x^3 = 0$?

Published on 29 Mar 2026 - 17:44

score 160 · Answer 7 · 2023-02-18 12:53:28

160

Views

Find the maximum value of $a^2(b-c)+b^2(c-b)+c^2(1-c)$, if $0\le{a}\le{b}\le{c}\le{1}$.

Published on 18 Feb 2023 - 12:53

score 39 · Answer 8 · 2023-02-18 18:21:20

Is every point of the constant function $f(x)=k$ where $k \in \mathbb{R}$ simultaneously a maximum, a minimum, and an inflection point?

score 39 · Answer 9 · 2023-02-20 12:43:54

39

Views

Multivariable Calculus, circles, maximum and minimum

Published on 20 Feb 2023 - 12:43

score 43 · Answer 10 · 2023-02-20 20:30:04

43

Views

Finding all the minima and maxima within a range

Published on 20 Feb 2023 - 20:30

score 39 · Answer 11 · 2026-04-02 13:58:53

39

Views

Find absolute minimum on domain with two inequalities

Published on 02 Apr 2026 - 13:58

score 99 · Answer 12 · 2023-02-23 14:47:13

99

Views

Finding the maximum area of a triangle when the distance from a point to three vertices is fixed

Published on 23 Feb 2023 - 14:47

score 138 · Answer 13 · 2023-02-24 15:06:08

138

Views

On the maximum area of a triangle with the fixed distances from its vertices to a given point.

Published on 24 Feb 2023 - 15:06

score 76 · Answer 14 · 2023-02-26 08:51:30

76

Views

Calculate Min/Max of sum of absolute sines

Published on 26 Feb 2023 - 8:51

score 36 · Answer 15 · 2026-03-29 04:34:39

36

Views

Finding maximum curvature of $Qe^{-ax}$?

Published on 29 Mar 2026 - 4:34

List Question

Find the maximum value of $ab+bc+cd+de+ef+fa,$ given that $a+b+c+d+e+f=1$

Just making sure: the set of strict local maxima (maxima points, not maxima values) of a continuous function $f: ℝ^n \to ℝ$ is countable, right?

Find the maximum value of product of three perpendiculars

$x_0$ is a global minimum over $X \Leftrightarrow\nabla f(x_0)^T(y-x_0)\geq 0$ for all $y\in X$

How do I estimate the minimum and the maximum values of normally disributed data

How to minimize the distance between the point $(-1,0)$ and the curve $y^2 - x^3 = 0$?

Find the maximum value of $a^2(b-c)+b^2(c-b)+c^2(1-c)$, if $0\le{a}\le{b}\le{c}\le{1}$.

Is every point of the constant function $f(x)=k$ where $k \in \mathbb{R}$ simultaneously a maximum, a minimum, and an inflection point?

Multivariable Calculus, circles, maximum and minimum

Finding all the minima and maxima within a range

Find absolute minimum on domain with two inequalities

Finding the maximum area of a triangle when the distance from a point to three vertices is fixed

On the maximum area of a triangle with the fixed distances from its vertices to a given point.

Calculate Min/Max of sum of absolute sines

Finding maximum curvature of $Qe^{-ax}$?

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