Question

If $xyz=32$, find the minimal value of

score 70 · Answer 1 · 2026-03-31 22:51:42

70

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If $xyz=32$, find the minimal value of

Published on 31 Mar 2026 - 22:51

score 93 · Answer 2 · 2020-08-08 17:51:18

93

Views

Maximum area of a rectangle when one point moves along the curve $y=f(x)$

Published on 08 Aug 2020 - 17:51

score 177 · Answer 3 · 2026-04-11 10:32:52

177

Views

Does a strictly convex extended-real-valued function attain a minimum on a compact convex set?

Published on 11 Apr 2026 - 10:32

score 2.8k · Answer 4 · 2020-08-09 07:18:19

2.8k

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Find minimum value of $f(b)$ where $f(b)$ denotes the maximum value of $g(x)$ where $g(x)=\left|\sin x+\frac{2}{3+\sin x}+b\right|$.

Published on 09 Aug 2020 - 7:18

score 76 · Answer 5 · 2020-08-09 13:15:43

76

Views

$\frac{1}{503}$, $\frac{4}{524}$, $\frac{9}{581}$,...

Published on 09 Aug 2020 - 13:15

score 108 · Answer 6 · 2020-08-10 05:34:48

108

Views

Find all values of $a$ for which the maximum value of $f(x)=\frac{ax-1}{x^4-x^2+1}$equals $1$.

Published on 10 Aug 2020 - 5:34

score 187 · Answer 7 · 2020-08-10 08:23:06

187

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What is the minimum value of $x+y$?

Published on 10 Aug 2020 - 8:23

score 107 · Answer 8 · 2026-04-01 21:34:52

107

Views

Find minimum value of $f(x)=\frac{(x^2-x+1)^3}{x^6-x^3+1}$

Published on 01 Apr 2026 - 21:34

score 139 · Answer 9 · 2026-03-31 22:51:06

139

Views

find maximum value of $\frac x{(x^2+1)^{\frac32}}$ with AM-GM inequality

Published on 31 Mar 2026 - 22:51

score 407 · Answer 10 · 2020-08-12 03:07:49

407

Views

What would be the most economical speed to operate the truck for a given distance?

Published on 12 Aug 2020 - 3:07

score 49 · Answer 11 · 2026-04-11 11:36:53

49

Views

Potential function with a fixed set of minima and no poles.

Published on 11 Apr 2026 - 11:36

score 137 · Answer 12 · 2026-04-11 15:23:25

137

Views

Inequality and the best upper bound.

Published on 11 Apr 2026 - 15:23

score 464 · Answer 13 · 2020-08-14 10:20:59

464

Views

Find the minimum value of $x_1^2+x_2^2+x_3^2+x_4^2$ subject to $x_1+x_2+x_3+x_4=a$ and $x_1-x_2+x_3-x_4=b$.

Published on 14 Aug 2020 - 10:20

score 454 · Answer 14 · 2026-04-11 10:38:35

454

Views

Find maximum Gaussian function that fits under a curve

Published on 11 Apr 2026 - 10:38

score 82 · Answer 15 · 2026-04-08 09:39:16

82

Views

Find the minimum and maximum of $f(x,y,z)= x^2+y^2 +\sin(z)$ (how should I procced from here?)

Published on 08 Apr 2026 - 9:39

List Question

If $xyz=32$, find the minimal value of

Maximum area of a rectangle when one point moves along the curve $y=f(x)$

Does a strictly convex extended-real-valued function attain a minimum on a compact convex set?

Find minimum value of $f(b)$ where $f(b)$ denotes the maximum value of $g(x)$ where $g(x)=\left|\sin x+\frac{2}{3+\sin x}+b\right|$.

$\frac{1}{503}$, $\frac{4}{524}$, $\frac{9}{581}$,...

Find all values of $a$ for which the maximum value of $f(x)=\frac{ax-1}{x^4-x^2+1}$equals $1$.

What is the minimum value of $x+y$?

Find minimum value of $f(x)=\frac{(x^2-x+1)^3}{x^6-x^3+1}$

find maximum value of $\frac x{(x^2+1)^{\frac32}}$ with AM-GM inequality

What would be the most economical speed to operate the truck for a given distance?

Potential function with a fixed set of minima and no poles.

Inequality and the best upper bound.

Find the minimum value of $x_1^2+x_2^2+x_3^2+x_4^2$ subject to $x_1+x_2+x_3+x_4=a$ and $x_1-x_2+x_3-x_4=b$.

Find maximum Gaussian function that fits under a curve

Find the minimum and maximum of $f(x,y,z)= x^2+y^2 +\sin(z)$ (how should I procced from here?)

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