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Question: applications of linear firstorder odes...

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Applications of Linear First-Order ODEs

d P Let P(t) be the performance level of someone learning a skill as a function of the training time t. The derivative df represents the rate at which performance improves. If dP M is the maximum level of performance of which the learner is capable, then a model for learning is given by the differential equation where k is a positive constant. Two new workers, Jim and Peter, were hired for an assembly line. Jim could process 11 units per minute after one hour and 14 units per minute after two hours. Peter could process 10 units per minute after one hour and 15 units per minute after two hours. Using the above model and assuming that P(o) 0, estimate the maximum mumber of units per minute that each worker is capable of processing. Jim: Preview Peter Preview

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