List questions from maxima-minima

Published on 10 Mar 2017 - 1:35

37

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Which continuous function of n variables between 1 to n takes maximum value when variables are permutations of 1,2,3...n?

Published on 28 Mar 2026 - 9:56

122

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Find minimum of $y=\sqrt{-x^2+4x+12}-\sqrt{-x^2+2x+3}$

Published on 10 Mar 2017 - 14:22

4.3k

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Distance between ellipse and line

Published on 31 Mar 2026 - 5:58

61

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Minimize $A=\frac{1+2^{x+y}}{1+4^x}+\frac{1+2^{x+y}}{1+4^y}$

Published on 15 Mar 2017 - 12:59

103

Views

Minimum of $\frac{{(b-a)} ^{3}}{6}$

Published on 16 Mar 2017 - 0:31

730

Views

Minimizing sum of two functions, minimize one and maximize the other.

Published on 29 Mar 2026 - 16:20

106

Views

Maximize $\frac{1}{\sqrt{2a^2+b^2}}+\frac{1}{\sqrt{2a^2+c^2}}+\frac{1}{\sqrt{2c^2+a^2}}$ under some condition on $(a,b,c)$

Published on 30 Mar 2026 - 17:17

190

Views

Find the maximum area of rectangle between y-axis , $f(x)=x^3 , y=32$

Published on 16 Mar 2017 - 18:52

56

Views

Find Minum Value

Published on 17 Mar 2017 - 16:04

187

Views

Maximum value of expression: $\frac{ab+bc+cd}{a^2+b^2+c^2+d^2}$

Published on 18 Mar 2017 - 12:00

1.1k

Views

To find the greatest value of a product whose sum is constant

Published on 29 Mar 2026 - 9:11

126

Views

Maximum value of $x^2+y^2$

Published on 18 Mar 2017 - 16:08

4.3k

Views

show that the height of the cylinder of maximum volume that can be inscribed within a cone of height $h$ is $\frac{h}3$.

Published on 19 Mar 2017 - 12:40

3.1k

Views

How to find max integer value of $6\sin(x)-8\cos(x)$ without using derivative

Published on 01 Apr 2026 - 16:27

List Question

Maximum/Minimum

Which continuous function of n variables between 1 to n takes maximum value when variables are permutations of 1,2,3...n?

Find minimum of $y=\sqrt{-x^2+4x+12}-\sqrt{-x^2+2x+3}$

Distance between ellipse and line

Minimize $A=\frac{1+2^{x+y}}{1+4^x}+\frac{1+2^{x+y}}{1+4^y}$

Minimum of $\frac{{(b-a)} ^{3}}{6}$

Minimizing sum of two functions, minimize one and maximize the other.

Maximize $\frac{1}{\sqrt{2a^2+b^2}}+\frac{1}{\sqrt{2a^2+c^2}}+\frac{1}{\sqrt{2c^2+a^2}}$ under some condition on $(a,b,c)$

Find the maximum area of rectangle between y-axis , $f(x)=x^3 , y=32$

Find Minum Value

Maximum value of expression: $\frac{ab+bc+cd}{a^2+b^2+c^2+d^2}$

To find the greatest value of a product whose sum is constant

Maximum value of $x^2+y^2$

show that the height of the cylinder of maximum volume that can be inscribed within a cone of height $h$ is $\frac{h}3$.

How to find max integer value of $6\sin(x)-8\cos(x)$ without using derivative

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