Unformatted text preview: n fact, the Gateway
x
x
e 127.7 + e− 127.7
where x and
Arch in St. Louis, Missouri has the shape y = 757.7 − 127.7
2
y are measured in feet and −315 ≤ x ≤ 315. What is the highest point on the arch?
14. In Exercise 4a in Section 2.5, we examined the data set given below which showed how two
cats and their surviving oﬀspring can produce over 80 million cats in just ten years. It is
virtually impossible to see this data plotted on your calculator, so plot x versus ln(x) as was
done on page 389. Find a linear model for this new data and comment on its goodness of ﬁt.
Find an exponential model for the original data and comment on its goodness of ﬁt.
Year x
Number of
Cats N (x) 1 2 3 4 5 6 7 8 9 10 12 66 382 2201 12680 73041 420715
2423316 13968290 80399780 15. According to this website, the number of active users of Facebook has grown signiﬁcantly
since its initial launch from a Harvard dorm room in February 2004. The chart below has
the approximate number U (x) of active users, in millions, x months after February 2004. For
example, the ﬁrst entry (1...
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 Fall '13
 Wong
 Algebra, Trigonometry, Cartesian Coordinate System, The Land, The Waves, René Descartes, Euclidean geometry

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