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.
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