A Lagrangian is given by
\(L=\frac{1}{2} m\left(\dot{x}^2+\dot{y} \dot{z}+\dot{z}^2\right)-\alpha(2 x+3 y+z)\).
The conserved momentum is
1
\(m[2 \dot{x}+\dot{z}]\)
2
\(m[2 \dot{x}+\dot{y}+\dot{z}]\)
3
\(m\left[\dot{x}+\frac{3}{2} \dot{y}+\frac{1}{2} \dot{z}\right]\)
4
\(m[2 \dot{x}+3 \dot{z}]\)