Use Laplace transforms to solve the IVP:

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

 Suppose  the position (measured in meters) 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 parts (a)(b)(c) a)  Solve for  the position of the mass x(t) b)  How far does the mass get from the equilibrium position? c) Keeping the initial position at x(0) = 0, what initial velocity would you have to give in order to make the mass get exactly 10 meters away from the equilibrium position before it turns around and heads back to the equilibrium position? That is, you need to determine what x'(0) needs to be to achieve this.  Hint: you first need to determine how the amplitude depends on x'(0). 

Which of the following subjects are NOT included in the Project Management Institute’s body of knowledge?

The concept of mistake-proofing was first developed in the 1960s by Shigeo Shingo. It was called

Which of the following fits with a preemptive facilities strategy?

The figure shown represents a control chart determined from attribute data. Given this chart and the plotted observations, the most appropriate action would be

The carrying cost for inventory consists of which cost components?

The definition of quality management has evolved from “quality by inspection” toward “delivering competitive advantage to the firm.” Briefly discuss the various definitions of quality management described in this chapter.

Here is the information pertaining to five jobs currently waiting to be processed on the same machine. Determine the sequencing of these five jobs at this machine using the SPT heuristic. JobProcess TimeArrival DateDue DateA2 daysOct. 12Oct. 29B6 daysOct. 15Oct. 28C5 daysOct. 18Oct. 30D9 daysOct. 1Oct. 31E7 daysOct. 10Oct. 27