List questions from maxima-minima

Published on 28 Mar 2026 - 10:03

325

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Expected length of the longest streak of heads, when the coin is being tossed until $n$ tails

Published on 01 Dec 2019 - 11:45

43

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Find the minimum and maximum of $P=x^2+y^2$

Published on 01 Dec 2019 - 14:16

56

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Optimization (Maxima and Minima)

Published on 02 Dec 2019 - 12:42

273

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A contest-math inequality: $(a+b)^2+(a+b+4c)^2 \geq \frac{100abc}{a+b+c}$

Published on 29 Mar 2026 - 15:02

400

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Find the number of integral values of $x$ where $f(x)=x^2|x-1|+(x-1)^2|x-4|+(x-4)^2|x-9|+...+(x-2401)^2|x-2500|$ has local minima.

Published on 04 Dec 2019 - 3:36

65

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What does $\max_{i=0}^{n}$ mean?

Published on 04 Dec 2019 - 21:43

48

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$F(x) = |x-1|+|x^2-2x|$ domain $[0,2]$ max and min?

Published on 05 Dec 2019 - 4:24

101

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What is the maximum possible value of a + 4b?

Published on 29 Mar 2026 - 7:28

235

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Efficient method for minimizing $f = x^4 + 2y^4 + 3z^4$ over the unit sphere.

Published on 27 Mar 2026 - 19:52

98

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What is the nature of this function in the interval $(-1,4)$

Published on 06 Dec 2019 - 8:06

435

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Finding the axes of an ellipse using Lagrange multipliers

Published on 25 Mar 2026 - 9:38

3.5k

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Maximum and minimum of $x^2+2y^2+3z^2$ subject to $x^2+y^2+z^2=100$

Published on 25 Mar 2026 - 9:39

152

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Find the maximum value of $\sin 7A+\sin 7B+\sin 7C$ in a triangle

Published on 08 Dec 2019 - 10:16

27

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$g(0)=1,g'(x)\geq g(x)$ for all $x>0$ and $g'(x)\leq g(x)$ for all $x<0$. Prove that $g(x)\geq exp(x)$ for all $x\in\mathbb{R}$.

Published on 08 Dec 2019 - 22:17

List Question

Why not define the Lagrangian like this?

Expected length of the longest streak of heads, when the coin is being tossed until $n$ tails

Find the minimum and maximum of $P=x^2+y^2$

Optimization (Maxima and Minima)

A contest-math inequality: $(a+b)^2+(a+b+4c)^2 \geq \frac{100abc}{a+b+c}$

Find the number of integral values of $x$ where $f(x)=x^2|x-1|+(x-1)^2|x-4|+(x-4)^2|x-9|+...+(x-2401)^2|x-2500|$ has local minima.

What does $\max_{i=0}^{n}$ mean?

$F(x) = |x-1|+|x^2-2x|$ domain $[0,2]$ max and min?

What is the maximum possible value of a + 4b?

Efficient method for minimizing $f = x^4 + 2y^4 + 3z^4$ over the unit sphere.

What is the nature of this function in the interval $(-1,4)$

Finding the axes of an ellipse using Lagrange multipliers

Maximum and minimum of $x^2+2y^2+3z^2$ subject to $x^2+y^2+z^2=100$

Find the maximum value of $\sin 7A+\sin 7B+\sin 7C$ in a triangle

$g(0)=1,g'(x)\geq g(x)$ for all $x>0$ and $g'(x)\leq g(x)$ for all $x<0$. Prove that $g(x)\geq exp(x)$ for all $x\in\mathbb{R}$.

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