Question

Determining the minimum and maximum value of a trigonometric expression

score 29 · Answer 1 · 2024-02-22 07:11:33

29

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Determining the minimum and maximum value of a trigonometric expression

Published on 22 Feb 2024 - 7:11

score 170 · Answer 2 · 2024-02-26 17:27:51

170

Views

If $x,y,z>0$ and $x+y+z=1$,then find the maximum value of $(1-x)(2-y)(3-z)$.

Published on 26 Feb 2024 - 17:27

score 27 · Answer 3 · 2024-02-27 09:06:06

27

Views

Determine the rectangular parallelepiped of maximum surface area which can be inscribed in a sphere.

Published on 27 Feb 2024 - 9:06

score 37 · Answer 4 · 2024-02-27 16:32:30

37

Views

Find the best dimensions of a tent with horizontal ridge pole. Assume the two ends closed by isosceles triangles. There is no floor.

Published on 27 Feb 2024 - 16:32

score 196 · Answer 5 · 2026-03-29 07:29:01

196

Views

Let : $\frac{\Gamma(x+1)}{(x+x^2)}=f(x),x>0$ then the minimum over $(0,\infty)$ verify a particular power series

Published on 29 Mar 2026 - 7:29

score 138 · Answer 6 · 2024-03-01 14:08:10

138

Views

Help showing this integral is positive.

Published on 01 Mar 2024 - 14:08

score 75 · Answer 7 · 2026-03-30 01:48:05

75

Views

If $x>0,y>0$ and $4xy=2^{x+y}$ then find the minimum and maximum values of $x+y$.

Published on 30 Mar 2026 - 1:48

score 78 · Answer 8 · 2024-03-03 15:49:58

78

Views

Maximum of $\frac{x^{15}(1-x)y^{15}(1-y)}{(1-xy)^{15}}$ where $x,y\in(0,1)$

Published on 03 Mar 2024 - 15:49

score 49 · Answer 9 · 2026-03-28 20:10:25

49

Views

Optimization word problem involving perimeter and area of an arched window

Published on 28 Mar 2026 - 20:10

score 373 · Answer 10 · 2024-03-06 14:46:30

373

Views

Maximization of an expression involving exponentials

Published on 06 Mar 2024 - 14:46

score 33 · Answer 11 · 2026-03-26 04:53:52

33

Views

Bath towel on the spheric rope: minimize the area of self-intersection of a 'folded' spheric rectangle

Published on 26 Mar 2026 - 4:53

score 27 · Answer 12 · 2024-03-07 06:59:33

27

Views

Find minimum value of the algebraic expression

Published on 07 Mar 2024 - 6:59

score 29 · Answer 13 · 2026-03-26 16:04:14

29

Views

continuous open mapping of segment

Published on 26 Mar 2026 - 16:04

score 150 · Answer 14 · 2024-03-13 17:55:45

150

Views

Does every triangle satisfy $a^c + b^c - c^c < \pi$

Published on 13 Mar 2024 - 17:55

score 102 · Answer 15 · 2024-03-16 15:04:09

102

Views

$|\vec{a}|=4,|\vec{b}|=2|\vec{c}|,(\vec{a}-\vec{c})\cdot (\vec{b}-\vec{c})=3$, try minimize $|\vec{a}-\vec{b}|$

Published on 16 Mar 2024 - 15:04

List Question

Determining the minimum and maximum value of a trigonometric expression

If $x,y,z>0$ and $x+y+z=1$,then find the maximum value of $(1-x)(2-y)(3-z)$.

Determine the rectangular parallelepiped of maximum surface area which can be inscribed in a sphere.

Find the best dimensions of a tent with horizontal ridge pole. Assume the two ends closed by isosceles triangles. There is no floor.

Let : $\frac{\Gamma(x+1)}{(x+x^2)}=f(x),x>0$ then the minimum over $(0,\infty)$ verify a particular power series

Help showing this integral is positive.

If $x>0,y>0$ and $4xy=2^{x+y}$ then find the minimum and maximum values of $x+y$.

Maximum of $\frac{x^{15}(1-x)y^{15}(1-y)}{(1-xy)^{15}}$ where $x,y\in(0,1)$

Optimization word problem involving perimeter and area of an arched window

Maximization of an expression involving exponentials

Bath towel on the spheric rope: minimize the area of self-intersection of a 'folded' spheric rectangle

Find minimum value of the algebraic expression

continuous open mapping of segment

Does every triangle satisfy $a^c + b^c - c^c < \pi$

$|\vec{a}|=4,|\vec{b}|=2|\vec{c}|,(\vec{a}-\vec{c})\cdot (\vec{b}-\vec{c})=3$, try minimize $|\vec{a}-\vec{b}|$

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