MATH 127 MIDTERM #1 20 October 2005
SPECIAL CODE:
102005
p.2of 6
1. If f(x):2x2+x2
then f(2) is
^ ) z
b ) 4
The line with equation
slope, yintercept and
a) 2,12 andl2
d)
l/2, 3
and
6
a)
Qoe
02'
Ifthe function
a) Po:37 and
d) Po: 9.5 and
c)
2
d ) 0
e ) 4
2.
4
y
+
2
x
+ 1 2 : 0
h a s
xintercepf in that order, equal
to:
b)
2,3
and
6
e) 2,4 and 2
b) 100 (1.2)t
c) 100 (0.8)t
d) 20 (0.8)'
e) r00 (1.2)
'
P(t)
:
37 (0.95)t is rewritten as
P(t)
:
Poek', then the values of Pe and k
are:
k:0.051
b) Po
=
37 and k:
0.051
c) Po:95 and k
=
0.05
k:
1.051
e) Po
:37
and k: .95
c\ ll2,
3
and 6
3. Theaveragerateofchangeof f(x):2ln(x) between x:land
x:2
(roundedto2decimals)is:
a) 1.33
b) r.77
c) 7.27
d) 0.69
e) 1.39
4.
A coffee shopsells
cups ofcoffee
for $1.50 each. Suppose
the fixed cost
is $10,000 and the
variable cost
is $0.10
per cup. The number of cupssold at the break even point is closest
to:
A f 00 mg dose of a certain drug is metabolized by the body in a manner so that 20"h of the
remaining amountof the drug is eliminated eachhour. Which of the following
formulas
bestdescribes
the amount of the drug remaining
in the body after t hours?
7.
$2000is invested
in an account where 4oh annual
interest
is compounded continuously.
The number of yearsrequired
for the value of this account
to reach $10,000
is closest
to:
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