Question

Best angle of trajectory via differences in normalised dot product

score 35 · Answer 1 · 2023-07-09 17:27:30

35

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Best angle of trajectory via differences in normalised dot product

Published on 09 Jul 2023 - 17:27

score 32 · Answer 2 · 2026-04-02 04:29:06

32

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Extreme value theorem for multivariate function

Published on 02 Apr 2026 - 4:29

score 47 · Answer 3 · 2023-07-11 12:37:27

47

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Let $f'(x)=\dfrac{(x-1)(x-8)(x-6)^2}{(x-2)(x-9)^3(x-7)^2}$. Then find point of extrema and point of inflection of $f(x)$

Published on 11 Jul 2023 - 12:37

score 95 · Answer 4 · 2026-03-29 15:33:04

95

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Using AM-GM inequality to find the minima of a function

Published on 29 Mar 2026 - 15:33

score 128 · Answer 5 · 2026-04-03 00:21:18

128

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How to maximize $\min_k a_k$ under constraints $\sum_k a_k=A$ and $\sum_k a_k^2=B$?

Published on 03 Apr 2026 - 0:21

score 146 · Answer 6 · 2026-04-01 17:06:57

146

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Consider $A(3, 1)$ and $C(4, 3)$. There is a point $B(x, y)$ on the curve $y = x^2$. Minimise $|AB|^2 + |BC|^2$.

Published on 01 Apr 2026 - 17:06

score 35 · Answer 7 · 2023-07-17 10:29:35

35

Views

Prove that, for $1 \leq p<\infty$ and $a, b \geq 0$, $ (a+b)^p=\inf _{0<t<1} t^{1-p} a^p+(1-t)^{1-p} b^p . $

Published on 17 Jul 2023 - 10:29

score 177 · Answer 8 · 2026-03-25 11:07:02

177

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Maximize $xy + 2 yz + 6 x $ subject to $x^2 + y^2 + z^2 = 36 $

Published on 25 Mar 2026 - 11:07

score 32 · Answer 9 · 2026-03-29 13:27:39

32

Views

k-Jet of a function $f:R^3 \rightarrow R$

Published on 29 Mar 2026 - 13:27

score 145 · Answer 10 · 2023-07-20 16:25:15

145

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Find maximum of $\frac{1 - \cos x}{x}$

Published on 20 Jul 2023 - 16:25

score 43 · Answer 11 · 2023-07-21 03:03:56

43

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Problem finding the maximum of a function in the first quadrant

Published on 21 Jul 2023 - 3:03

score 123 · Answer 12 · 2026-03-26 06:04:15

123

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Find the image of function $f$ (without calculus)

Published on 26 Mar 2026 - 6:04

score 69 · Answer 13 · 2023-07-24 12:26:23

69

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Can this manifestly true claim, about the proportion of odd digits in prime numbers, be proved?

Published on 24 Jul 2023 - 12:26

score 111 · Answer 14 · 2023-07-26 21:41:13

111

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why does the function $f(x)=x(\sqrt[x]{x+1}-1) $ behaves like it has infinte many extremums?

Published on 26 Jul 2023 - 21:41

score 36 · Answer 15 · 2023-07-28 09:52:46

36

Views

Explore function of two variables for extremas at given points

Published on 28 Jul 2023 - 9:52

List Question

Best angle of trajectory via differences in normalised dot product

Extreme value theorem for multivariate function

Let $f'(x)=\dfrac{(x-1)(x-8)(x-6)^2}{(x-2)(x-9)^3(x-7)^2}$. Then find point of extrema and point of inflection of $f(x)$

Using AM-GM inequality to find the minima of a function

How to maximize $\min_k a_k$ under constraints $\sum_k a_k=A$ and $\sum_k a_k^2=B$?

Consider $A(3, 1)$ and $C(4, 3)$. There is a point $B(x, y)$ on the curve $y = x^2$. Minimise $|AB|^2 + |BC|^2$.

Prove that, for $1 \leq p<\infty$ and $a, b \geq 0$, $ (a+b)^p=\inf _{0<t<1} t^{1-p} a^p+(1-t)^{1-p} b^p . $

Maximize $xy + 2 yz + 6 x $ subject to $x^2 + y^2 + z^2 = 36 $

k-Jet of a function $f:R^3 \rightarrow R$

Find maximum of $\frac{1 - \cos x}{x}$

Problem finding the maximum of a function in the first quadrant

Find the image of function $f$ (without calculus)

Can this manifestly true claim, about the proportion of odd digits in prime numbers, be proved?

why does the function $f(x)=x(\sqrt[x]{x+1}-1) $ behaves like it has infinte many extremums?

Explore function of two variables for extremas at given points

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