List questions from maxima-minima | MathQa

Prove inequality $\left| \frac{x+yz}{x^2+y^2} \right| \leq 1$ for $x^2+y^2-z^2=1$

Published on 12 Jan 2025 - 23:55

Finding the coordinates of R such that PR+RQ is minimum

Published on 12 Jan 2025 - 23:49

Find $x,y,z>0$ such that $x+y+z=1$ and $x^2+y^2+z^2$ is minimal

Published on 12 Jan 2025 - 23:51

Finding the maximum value of $ab+ac+ad+bc+bd+3cd$

Published on 12 Jan 2025 - 23:44

constrained extrema (absolute)

Published on 12 Jan 2025 - 18:16

Shortest distance to a straight line

Published on 12 Jan 2025 - 23:39

Using Calculus, find the point on circle $(x-3)^2+(y-1)^2=16$ that is closest to arbitrary point $(-2,2)$ in $x-y$ plane that is not on the circle.

Published on 13 Jan 2025 - 0:45

Lagrange multipliers and the extrema of $f(x,y) = -x^2-y^2+x+y$

Published on 12 Jan 2025 - 23:51

Find a maximum of: $x^{2016} \cdot y+y^{2016} \cdot z+z^{2016} \cdot x $

Published on 12 Jan 2025 - 23:53

Find the minimum $k$

Published on 12 Jan 2025 - 17:16