Constraints On Cylinders And Planes
Algebra
Level
3
\(x,y,\) and \(z\) are real numbers satisfying \(x^2+y^2 =1\) and \(y+z=1\).
Let \(M \) and \(m\) be the maximum and minimum values of the expression \(x+2y+z\), respectively.
Find \(M+m\).
Dedicated to Aditya Sharma.
by
Guillermo Templado