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  1. Engineering
  2. Mechanical Engineering
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please show all steps (b) In a paint mixing plant, two tanks supply fluids to a mixing cistern. The height, h, of the fluid in the cistern is dependent upon the difference between the input mass flow rate, q, and the output flow rate, ge A nonlinear differential equation describing this dependency is given by dh Ae where A = cross-sectional area of the cistern, Ae cross-sectional area of the exit pipe, g = acceleration due to gravity, and ρ-liquid density. Linearize Eq. (2) for the equilibrium point (ho, 9)

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