Science:Math Exam Resources/Courses/MATH102/December 2017/Question 07 (b)

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MATH102 December 2017

  •  Q1  •  Q2  •  Q3  •  Q4  •  Q5  •  Q6  •  Q7 (a)  •  Q7 (b)  •  Q7 (c)  •  Q8  •  Q9 (a)  •  Q9 (b)  •  Q9 (c)  •  Q10 (a)  •  Q10 (b)  •  Q10 (c)  •  Q10 (d)  •  Q11 (a)  •  Q11 (b)  •  Q12 (a)  •  Q12 (b)  •  Q12 (c)  •  Q12 (d)  •  Q13 (a)  •  Q13 (b)  •  Q13 (c)  •  Q13 (d)  •  Q14 (a)  •  Q14 (b)  •  Q15 (a)  •  Q15 (b)  •  Q16  •  

   Other MATH102 Exams
  •  December 2014  •  December 2011  •  December 2012  •  December 2013  •  December 2016  •  December 2015  •  

Question 07 (b)

New words are constantly being introduced into a language. The usage of one particular new word is thought to grow according to a logistic equation

where is the fraction of the population using the word. The usage increases at a rate proportional to the product of the fraction of people who use the word and the fraction that don’t use it and decreases at a rate proportional to the number of users.

(b) For what values of does the word fail to catch on and simply disappear from the language? Choose the best answer.






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