Question

Finding maxima of a multivariable function

score 25 · Answer 1 · 2026-04-09 18:42:24

25

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Finding maxima of a multivariable function

Published on 09 Apr 2026 - 18:42

score 36 · Answer 2 · 2026-04-13 23:10:23

36

Views

The hotness at a point (x, y) on a steel plate is $T(x, y) = 5x^2 – 3xy + y^2.$

Published on 13 Apr 2026 - 23:10

score 97 · Answer 3 · 2026-04-11 18:24:01

97

Views

Maximum value with inequality

Published on 11 Apr 2026 - 18:24

score 17 · Answer 4 · 2026-04-09 05:15:14

17

Views

Can relationship between two variables in maxima and minima be solved using partial derivatives?

Published on 09 Apr 2026 - 5:15

score 128 · Answer 5 · 2026-04-11 17:09:05

128

Views

How can I decompose the $\max$ of a product of functions?

Published on 11 Apr 2026 - 17:09

score 137 · Answer 6 · 2026-04-15 14:33:31

137

Views

Minimize total area bounded by $N$ lines in general position

Published on 15 Apr 2026 - 14:33

score 47 · Answer 7 · 2026-04-17 05:13:06

47

Views

Local and global extreme points of $f: \mathbb{R^2} \to \mathbb{R}$ with $f(x,y) = x^2 - y^2$ restricted on $x^2 + 4y^2 \leq 4$

Published on 17 Apr 2026 - 5:13

score 100 · Answer 8 · 2026-04-14 02:32:18

100

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Find the value of $c$ that minimizes the sum of the areas of two regions bounded by $f(x)=x^3-x^2$ and $y=c+x$

Published on 14 Apr 2026 - 2:32

score 71 · Answer 9 · 2026-04-09 10:23:35

a minimimization problem involving a ladder across a fence, to a building; the twist- no constants are given; Need help!!

score 168 · Answer 10 · 2026-04-14 03:52:26

168

Views

Find minimum of the function using AM-GM

Published on 14 Apr 2026 - 3:52

score 84 · Answer 11 · 2026-04-16 05:28:12

84

Views

Find all points P such that $\frac{BC}{PH_A}+\frac{AC}{PH_B}+\frac{AB}{PH_C}$ is minimum

Published on 16 Apr 2026 - 5:28

score 275 · Answer 12 · 2026-04-16 01:48:19

275

Views

Show that $4\leq |z+3|+|z^2-z+4|\leq 11$ where $|z|=2$

Published on 16 Apr 2026 - 1:48

score 194 · Answer 13 · 2026-04-11 18:02:40

194

Views

Given that $ a,b,c$ are positive numbers and $(a+b)(b+c)(c+a)=1$, find the maximum value of $P=ab+bc+ca$

Published on 11 Apr 2026 - 18:02

score 223 · Answer 14 · 2026-04-15 11:14:34

223

Views

If $|ax^2+bx+c|\leq 2\ \ \forall x\in[-1,1]$ then find the maximum value of $|cx^2+2bx+4a|\ \ \forall x\in [-2,2]$.

Published on 15 Apr 2026 - 11:14

score 2.8k · Answer 15 · 2026-04-13 09:03:04

2.8k

Views

The largest possible area of the rectangle on a parabola

Published on 13 Apr 2026 - 9:03

List Question

Finding maxima of a multivariable function

The hotness at a point (x, y) on a steel plate is $T(x, y) = 5x^2 – 3xy + y^2.$

Maximum value with inequality

Can relationship between two variables in maxima and minima be solved using partial derivatives?

How can I decompose the $\max$ of a product of functions?

Minimize total area bounded by $N$ lines in general position

Local and global extreme points of $f: \mathbb{R^2} \to \mathbb{R}$ with $f(x,y) = x^2 - y^2$ restricted on $x^2 + 4y^2 \leq 4$

Find the value of $c$ that minimizes the sum of the areas of two regions bounded by $f(x)=x^3-x^2$ and $y=c+x$

a minimimization problem involving a ladder across a fence, to a building; the twist- no constants are given; Need help!!

Find minimum of the function using AM-GM

Find all points P such that $\frac{BC}{PH_A}+\frac{AC}{PH_B}+\frac{AB}{PH_C}$ is minimum

Show that $4\leq |z+3|+|z^2-z+4|\leq 11$ where $|z|=2$

Given that $ a,b,c$ are positive numbers and $(a+b)(b+c)(c+a)=1$, find the maximum value of $P=ab+bc+ca$

If $|ax^2+bx+c|\leq 2\ \ \forall x\in[-1,1]$ then find the maximum value of $|cx^2+2bx+4a|\ \ \forall x\in [-2,2]$.

The largest possible area of the rectangle on a parabola

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