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A student's typing speed \(N\) (in words per minute) increases with practice time \(t\) (in weeks) according to the model:$$ N(t) = 30 + 15 \ln t, \quad t \ge 1. $$
Calculate the typing speed after 1 week.
Calculate the typing speed after 10 weeks.
How many weeks of practice are needed to reach a speed of 60 words per minute?
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