List questions from lagrange-multiplier

Published on 28 Mar 2026 - 10:03

63

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Find minimum value of $P = \frac{y + z}{x}$

Published on 27 Mar 2026 - 2:35

518

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Eliminate the Multiplier of Lagrange

Published on 27 Dec 2019 - 8:13

48

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Use Lagrange to show that the total travel time from $P_{1}$ to $P_{2}$ is minimized $\frac{\sin(\theta_{1})}{\sin(\theta_{2})} = \frac{v_{1}}{v_{2}}$

Published on 28 Dec 2019 - 0:13

115

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Optimality condition under strong convexity of the Lagrangian

Published on 27 Mar 2026 - 11:48

92

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Solving SVM Lagrangian dual

Published on 30 Dec 2019 - 14:48

95

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Can we resolve this issue of applying the Lagrange multiplier theorem?

Published on 01 Jan 2020 - 19:55

39

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Relative consumption

Published on 01 Jan 2020 - 23:58

65

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Prove that for every $x,y \in \mathbb{R}$, $\left| \ln \left(\frac{x+\sqrt{a^2+x^2}}{y+\sqrt{a^2+y^2}}\right)\right| \leq \frac{|x-y|}{a}$

Published on 02 Jan 2020 - 5:05

27

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Prove that for every real $x,y \in [1,2]$ is $|x^x - y^y| \leq 4(1+\ln2)|x-y|$

Published on 02 Jan 2020 - 6:00

68

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Minimized distance from the origin to the intersection of $xy=6, 7x+24z=0$

Published on 02 Jan 2020 - 17:19

641

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Constrained convex optimization

Published on 27 Mar 2026 - 3:57

1k

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Euler-Lagrange equation with Lagrange multipliers

Published on 26 Mar 2026 - 12:43

88

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Find min-max of function $f(x, y, z) = x + 2z$

Published on 10 Jan 2020 - 18:52

392

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find max and min of: $f(x_1, x_2 ) = \ln(x_1) + \ln(x_2) - 2x_1-2x_2$?

Published on 11 Jan 2020 - 15:39

List Question

Minimizing cosine with constraints.

Find minimum value of $P = \frac{y + z}{x}$

Eliminate the Multiplier of Lagrange

Use Lagrange to show that the total travel time from $P_{1}$ to $P_{2}$ is minimized $\frac{\sin(\theta_{1})}{\sin(\theta_{2})} = \frac{v_{1}}{v_{2}}$

Optimality condition under strong convexity of the Lagrangian

Solving SVM Lagrangian dual

Can we resolve this issue of applying the Lagrange multiplier theorem?

Relative consumption

Prove that for every $x,y \in \mathbb{R}$, $\left| \ln \left(\frac{x+\sqrt{a^2+x^2}}{y+\sqrt{a^2+y^2}}\right)\right| \leq \frac{|x-y|}{a}$

Prove that for every real $x,y \in [1,2]$ is $|x^x - y^y| \leq 4(1+\ln2)|x-y|$

Minimized distance from the origin to the intersection of $xy=6, 7x+24z=0$

Constrained convex optimization

Euler-Lagrange equation with Lagrange multipliers

Find min-max of function $f(x, y, z) = x + 2z$

find max and min of: $f(x_1, x_2 ) = \ln(x_1) + \ln(x_2) - 2x_1-2x_2$?

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