6. A small town's growth follows the model P(t)=- 16 ,where p is the population in 1+1.7e021 thousands and t is the number of years after 2015. a.) What was the town's population in 2015? (Round to the nearest person.) b.) After how many years will the population double? Round to the nearest tenth of a year. c.) Determine all asymptotes for this function, even the ones that do not have meaning in context of the problem. Interpret any asymptote(s) that make sense in context.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6. A small town's growth follows the model P(t)=:
where p is the population in
-0.21
1+1.7e
thousands and t is the number of years after 2015.
a.) What was the town's population in 2015? (Round to the nearest person.)
b.) After how many years will the population double? Round to the nearest tenth of a year.
c.) Determine all asymptotes for this function, even the ones that do not have meaning in context of
the problem. Interpret any asymptote(s) that make sense in context.
Transcribed Image Text:16 6. A small town's growth follows the model P(t)=: where p is the population in -0.21 1+1.7e thousands and t is the number of years after 2015. a.) What was the town's population in 2015? (Round to the nearest person.) b.) After how many years will the population double? Round to the nearest tenth of a year. c.) Determine all asymptotes for this function, even the ones that do not have meaning in context of the problem. Interpret any asymptote(s) that make sense in context.
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