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Suppose  the position of a  mass on a spring, x(t),  is modeled by the ODE: .When x(t)>0 the spring is stretched, and the spring is compressed when x(t)  $.   Answer the following (a)(b)(c) a)   For what values of

Answer parts (a)(b)(c): (a): Find all constant (equilibrium) solutions to the following ODE (if there are none, write “none”):

 The matrix  

 Solve the IVP explicitly:  

 The matrix  

Answer parts (a)(b)(c): (a): Find all constant (equilibrium) solutions to the following ODE (if there are none, write “none”):

Find the general solution to the ODE:

Find the general solution to the ODE:

Solve the IVP using Laplace transforms:  

Name the seven tools of quality control typically used in process improvement. Could all of these tools be applied to service operations? Suggest some possible service operations scenarios wherein we could apply all/some of these tools.