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- ...s an [[inequality]] with many ubiquitous formulations in abstract algebra, calculus, and contest mathematics. In high-school competitions, its applications are ...s. Under this formulation, the elementary algebraic, linear algebraic, and calculus formulations are different cases of the general inequality.13 KB (2,048 words) - 14:28, 22 February 2024
- ==Solution 4 (Using Answer Choice + Calculus)== <cmath>\begin{cases}x^2+y^2-14x-6y=6,\\nabla g(x,y)=\lambda\nabla f(x,y).\end{cases}</cmath>9 KB (1,449 words) - 21:06, 6 December 2024
- [[2006 SMT/Calculus Problems/Problem 1|Solution]] ...ts solution <math> y=e^{\lambda t} </math>, what are the values of <math> \lambda </math>?3 KB (525 words) - 12:59, 27 May 2012
- This article discusses Lagrange multipliers, a topic of multivariable calculus. ...that, to find the minimum or maximum satisfying both requirements (<math>\lambda</math> is a constant):5 KB (791 words) - 20:06, 30 November 2020
- ==Solution 8 (Calculus)== \vec{\nabla} f &= \lambda \vec{\nabla} g \28 KB (4,933 words) - 09:23, 16 July 2024
- ...w that <math>f(a)=81a+108\sqrt{16-a^2}</math>, and can proceed with normal calculus. \begin{align*} 3 = 2\lambda a, \quad -4 = 2\lambda b \implies -\frac{3}{4} = \frac ab \implies -3b = 4a \implies b = -\frac 4315 KB (2,348 words) - 02:18, 16 December 2024
- Denote by <math>\lambda</math> and <math>\eta</math> lagrangian multipliers of constraints (1) and \max_{x,y,z, \lambda, \eta} & x + y + z + \lambda \left( xy + yz + zx - 27 \right)15 KB (2,495 words) - 08:46, 15 February 2025
- ===Putnam styled (Calculus version of AMC, AIME, and Olympiad)=== ===Solution 3 (Finding relative extrema with calculus)===64 KB (10,564 words) - 21:17, 19 February 2025