Question

Find all the values of $y$ so that $\min\limits_{[1, 2]}\left | x^{3}- 3x+ y \right |= 6$ .

score 44 · Answer 1 · 2020-06-16 06:16:04

Find all the values of $y$ so that $\min\limits_{[1, 2]}\left | x^{3}- 3x+ y \right |= 6$ .

Published on 16 Jun 2020 - 6:16

score 227 · Answer 2 · 2020-06-16 07:35:28

Given three real numbers $a,b,c$ so that $\{a,b,c\}\subset [1,2]$ . How to make $\sqrt[3]{\frac{a+b+c}{\max\{a,b,c\}}}\leq\frac{3}{2}$ a lot stronger?

score 56 · Answer 3 · 2020-06-16 12:40:17

56

Views

Find the minum of the expression $V=abc$ when $a+b+c=25$

Published on 16 Jun 2020 - 12:40

score 33 · Answer 4 · 2020-06-16 15:19:06

33

Views

Extract derivative from 2-dimensional function

Published on 16 Jun 2020 - 15:19

score 56 · Answer 5 · 2026-03-30 07:06:25

56

Views

Maximum or saddle point of a functional

Published on 30 Mar 2026 - 7:06

score 3.8k · Answer 6 · 2020-06-16 17:50:49

3.8k

Views

Suppose $f(x,y)=(x-y)(36-xy)$. Find the local maxima, minima, and saddle points.

Published on 16 Jun 2020 - 17:50

score 35 · Answer 7 · 2026-03-31 11:55:13

35

Views

Find the global max and min of $f(x,y)=18-6x+10y$ on a closed triangular region with vertices $(0,0),(10,0),(10,11)$

Published on 31 Mar 2026 - 11:55

score 469 · Answer 8 · 2020-06-17 04:38:28

469

Views

Find the minimum perimeter of the triangle.

Published on 17 Jun 2020 - 4:38

score 694 · Answer 9 · 2026-03-28 01:13:37

694

Views

Using AM greater than HM instead of AM greater than GM while problem solving

Published on 28 Mar 2026 - 1:13

score 1.5k · Answer 10 · 2020-06-17 08:57:17

1.5k

Views

Max and Min value of a function on a circle

Published on 17 Jun 2020 - 8:57

score 45 · Answer 11 · 2020-06-18 00:48:04

45

Views

Find the global extrema of $f(x,y)=4xy-3x-y+2$ on the triangular region with $(0,0),(5,0)$, and $(0,4)$

Published on 18 Jun 2020 - 0:48

score 166 · Answer 12 · 2026-03-29 20:56:38

166

Views

Find the absolute maximum and minimum of $f(x,y,z)=ax+by+cz$ over the function $h(x,y,z)=x^2+y^2+z^2=1$ using Lagrange multiplier

Published on 29 Mar 2026 - 20:56

score 49 · Answer 13 · 2026-03-29 20:09:37

49

Views

Probability that maximum and minimum of two segments is less than a given value

Published on 29 Mar 2026 - 20:09

score 18 · Answer 14 · 2020-06-20 10:12:13

18

Views

Single variable functions optimization

Published on 20 Jun 2020 - 10:12

score 136 · Answer 15 · 2020-06-20 11:52:50

136

Views

Application of derivatives: Profit analysis

Published on 20 Jun 2020 - 11:52

List Question

Find all the values of $y$ so that $\min\limits_{[1, 2]}\left | x^{3}- 3x+ y \right |= 6$ .

Given three real numbers $a,b,c$ so that $\{a,b,c\}\subset [1,2]$ . How to make $\sqrt[3]{\frac{a+b+c}{\max\{a,b,c\}}}\leq\frac{3}{2}$ a lot stronger?

Find the minum of the expression $V=abc$ when $a+b+c=25$

Extract derivative from 2-dimensional function

Maximum or saddle point of a functional

Suppose $f(x,y)=(x-y)(36-xy)$. Find the local maxima, minima, and saddle points.

Find the global max and min of $f(x,y)=18-6x+10y$ on a closed triangular region with vertices $(0,0),(10,0),(10,11)$

Find the minimum perimeter of the triangle.

Using AM greater than HM instead of AM greater than GM while problem solving

Max and Min value of a function on a circle

Find the global extrema of $f(x,y)=4xy-3x-y+2$ on the triangular region with $(0,0),(5,0)$, and $(0,4)$

Find the absolute maximum and minimum of $f(x,y,z)=ax+by+cz$ over the function $h(x,y,z)=x^2+y^2+z^2=1$ using Lagrange multiplier

Probability that maximum and minimum of two segments is less than a given value

Single variable functions optimization

Application of derivatives: Profit analysis

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