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Stewart_Calc_7ET ch03sec08
MULTIPLE CHOICE
1. Let C(t) be the total value of US currency (coins and banknotes) in circulation at time. The
table gives values of this function from 1980 to 2000, as of September 30, in billions of
dollars. Estimate the value of C(1990) .
t
1980
1985
1990
1995
2000
C(t)
129.9
568.6
Answers are in billions of dollars per year. Round your answer to two decimal places.
a.
b.
c.
d.
e.
2. Find the accumulated amount after 7 years on an investment of $2,000 earning an interest
rate of 5% per year compounded continuously. Round to the nearest cent.
a.
$2,814.20
b.
$2,838.14
c.
$14,700.00
d.
$14,717.80
3. The parents of a child wish to establish a trust fund for the child’s college education. If they
need an estimated $90,000 5 years from now and they are able to invest the money at 5.5%
compounded continuously in the interim, how much should they set aside in trust now?
a.
$68,361.49
b.
$17,061.61
c.
$17,036.73
d.
$68,862.09
4. If two resistors with resistances and are connected in parallel, as in the figure, then
the total resistance measured in ohms (), is given by
.
If and are increasing at rates of and respectively, how fast is
changing when and ?
Round your answer to the nearest thousandth.
a.
b.
c.
d.
e.
5. Find an equation of the tangent line to the curve at the point
(4,1).
a.
b.
c.
d.
e.
