Question

Find global maximum / minimum over a rectangular area

score 1.6k · Answer 1 · 2020-08-16 20:09:19

1.6k

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Find global maximum / minimum over a rectangular area

Published on 16 Aug 2020 - 20:09

score 80 · Answer 2 · 2020-08-17 11:36:24

80

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Prove that there exists $c$ such that $\int_{1}^{\infty} \frac{(1-x+[x])(x^a-x^{1-a})}{x^2}dx=(c^a-c^{1-a})\int_{1}^{\infty} \frac{(1-x+[x])}{x^2}dx$

Published on 17 Aug 2020 - 11:36

score 125 · Answer 3 · 2026-04-01 00:26:37

125

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Given positive $x,y$ such that $x > y$ and $\sqrt{x} \sqrt{y}(x-y) = x+y $, find minimum $(x+y)$

Published on 01 Apr 2026 - 0:26

score 88 · Answer 4 · 2020-08-17 16:02:36

88

Views

Positive reals satisfy $ \sum_{i=1}^{24} x_i = 1 $, determine maximum of following quantity

Published on 17 Aug 2020 - 16:02

score 291 · Answer 5 · 2026-03-26 04:14:45

291

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The equation $2x^2+ax+(b+3)=0$ has real roots. Find the minimum value of $a^2+b^2$

Published on 26 Mar 2026 - 4:14

score 2.2k · Answer 6 · 2020-08-21 16:35:18

2.2k

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Positive semi definite hessian at a critical point

Published on 21 Aug 2020 - 16:35

score 138 · Answer 7 · 2020-08-22 09:26:51

138

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Maximum of $f(x)=\frac{2x\sqrt{(x+1)}}{(9x^2+3)^{\frac{1}{4}}}+\frac{(1-2x)\sqrt{2-2x}}{(9(1-2x)^2+3)^{\frac{1}{4}}}$ on the interval $[0,1/2]$

Published on 22 Aug 2020 - 9:26

score 43 · Answer 8 · 2020-08-23 14:57:26

43

Views

What is a function called that maps the minimum of the domain to the minimum of the codomain?

Published on 23 Aug 2020 - 14:57

score 43 · Answer 9 · 2020-08-24 11:21:33

43

Views

Find interger values of $m$ for $\min f(x)\ge -1$

Published on 24 Aug 2020 - 11:21

score 48 · Answer 10 · 2026-04-11 17:46:30

48

Views

Find Minima for the equation

Published on 11 Apr 2026 - 17:46

score 22 · Answer 11 · 2026-04-02 19:44:02

22

Views

Establish an ordering among three elements

Published on 02 Apr 2026 - 19:44

score 701 · Answer 12 · 2020-08-25 16:29:41

701

Views

When the maximum of sum is equal to the sum of maxima

Published on 25 Aug 2020 - 16:29

score 99 · Answer 13 · 2026-04-11 16:05:20

99

Views

Prove that $f$ has the maximum value on $[-a, a]$.

Published on 11 Apr 2026 - 16:05

score 338 · Answer 14 · 2026-03-29 19:11:19

338

Views

Minimum value of RSS: Why does the the coefficient of $d^2$ being positive tell us that this value is a minimum?

Published on 29 Mar 2026 - 19:11

score 45 · Answer 15 · 2020-08-27 16:59:07

Consider a Quadrilateral PQRS as given in the diagram with paths AB,BC and CD as shown. Then what is the minimum value of $(AB+BC+CD)^2 -20$?

List Question

Find global maximum / minimum over a rectangular area

Prove that there exists $c$ such that $\int_{1}^{\infty} \frac{(1-x+[x])(x^a-x^{1-a})}{x^2}dx=(c^a-c^{1-a})\int_{1}^{\infty} \frac{(1-x+[x])}{x^2}dx$

Given positive $x,y$ such that $x > y$ and $\sqrt{x} \sqrt{y}(x-y) = x+y $, find minimum $(x+y)$

Positive reals satisfy $ \sum_{i=1}^{24} x_i = 1 $, determine maximum of following quantity

The equation $2x^2+ax+(b+3)=0$ has real roots. Find the minimum value of $a^2+b^2$

Positive semi definite hessian at a critical point

Maximum of $f(x)=\frac{2x\sqrt{(x+1)}}{(9x^2+3)^{\frac{1}{4}}}+\frac{(1-2x)\sqrt{2-2x}}{(9(1-2x)^2+3)^{\frac{1}{4}}}$ on the interval $[0,1/2]$

What is a function called that maps the minimum of the domain to the minimum of the codomain?

Find interger values of $m$ for $\min f(x)\ge -1$

Find Minima for the equation

Establish an ordering among three elements

When the maximum of sum is equal to the sum of maxima

Prove that $f$ has the maximum value on $[-a, a]$.

Minimum value of RSS: Why does the the coefficient of $d^2$ being positive tell us that this value is a minimum?

Consider a Quadrilateral PQRS as given in the diagram with paths AB,BC and CD as shown. Then what is the minimum value of $(AB+BC+CD)^2 -20$?

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