The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 45. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by  N = 45(1 − ekt). After 20 days on the job, a new employee produces 17 units. (a) Find the learning curve for this employee. (Hint: First, find the value of k. Round your value of k to three decimal places.) k =   N =

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