The Rate of Change in the Number of Subscribers $S$ To a Newly Introduced Magazine Is Modeled By

question 15

Multiple Choice

The rate of change in the number of subscribers $S$ to a newly introduced magazine is modeled by $\frac { d S } { d t } = 1000 t ^ { 2 } e ^ { - 1 } , 0 \leq t \leq 6$ where $t$ is the time in years. Use Simpson's Rule $n = 12$ with to estimate the total increase in the number of subscribers during the first 6 years.

• A) \(\approx\) 1870 subscribers
• B) \(\approx\) 1780 subscribers
• C) \(\approx\) 1800 subscribers
• D) \(\approx\) 1878 subscribers
• E) \(\approx\) 1987 subscribers

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