(Solved): Consider the following two connected tanks with two tanks cross-sectional areas: A1=100 cm2,A2 ...

Consider the following two connected tanks with two tanks cross-sectional areas: $${\mathrm{A}}_1=100$$ $${\mathrm{cm}}^2,A_2=50{\mathrm{cm}}^2$$, constants for the valves $${\mathrm{v}}_1$$, $${\mathrm{v}}_2,{\mathrm{v}}_3$$ are: $$10,8,6{\mathrm{cm}}^{0.5}{\mathrm{s}}^{?1}$$ respectively. A. The feed pump was operated on $$74{\mathrm{cm}}^3?{\mathrm{s}}^{?1}$$, what will be the steady state levels in each tank. B. Linearize the system around the point calculated in (A).