Question: Please help me with this question, show step by step. Thanks! A linguist studying the spread of new words and slang observed that the number
Please help me with this question, show step by step. Thanks!

A linguist studying the spread of new words and slang observed that the number of daily occurrences of the recently popular expression "on eek" on Twitter (in thousands), as a function of time t in months since the rst appearance of the phrase, was well-approximated by a logistic function of the form L P(t)=W where L = 197, C= 108, and k = 75.9%. How many months after the phrase's rst appearance was its use spreading most rapidly? Express your answer in months rounded correctly to two decimal places. Correct Answer: 6.17
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