Birth Rate of Unmarried Women In the United States, the birth rate B of unmarried women (births per 1000 unmarried women) for women whose age is a is modelled by the function B ( a ) = − 0.33 a 2 + 19.17 a − 213.37 . What is the age of unmarried women with the highest birth rate? What is the highest birth rate of unmarried women? Evaluate and interpret B ( 40 ) .
Birth Rate of Unmarried Women In the United States, the birth rate B of unmarried women (births per 1000 unmarried women) for women whose age is a is modelled by the function B ( a ) = − 0.33 a 2 + 19.17 a − 213.37 . What is the age of unmarried women with the highest birth rate? What is the highest birth rate of unmarried women? Evaluate and interpret B ( 40 ) .
Birth Rate of Unmarried Women In the United States, the birth rate
B
of unmarried women (births per
1000
unmarried women) for women whose age is
a
is modelled by the function
B
(
a
)
=
−
0.33
a
2
+
19.17
a
−
213.37
.
What is the age of unmarried women with the highest birth rate?
What is the highest birth rate of unmarried women?
Arctic Foxes The age/weight relationship of male Arctic
foxes caught in Svalbard, Norway, can be estimated by the
function
--0.020(1-66)
M(1) = 3583e
where t is the age of the fox in days and M(t) is the weight of
the fox in grams. Source: Journal of Mammology.
(a) Estimate the weight of a male fox that is 250 days old.
(b) Use M(t) to estimate the largest size that a male fox can
attain. (Hìnt: Find lim M(t).)
(c) Estimate the age of a male fox when it has reached 50% of
its maximum weight.
(d) Estimate the rate of change in weight of a male Arctic fox
that is 250 days old. (Hint: Recall that D,e) = f'(1)e().)
(e) Use a graphing calculator to graph M(t) and then describe
the growth pattern.
(f) Use the table function on a graphing calculator or a spread-
sheet to develop a chart that shows the estimated weight
and growth rate of male foxes for days 50, 100, 150, 200,
250, and 300.
A function N=f(x) gives the number of miles driven in a day. What does f(Monday)=500 mean?
Use the model given to answer the question about the object or process being modeled.
Thomas' Calculus: Early Transcendentals (14th Edition)
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