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Due tomorrow by December 2nd, 3pm.
MAT
206
Quiz # 3 Prof. Krishnamachari
This quiz contains 20 multiple choice questions.
It is due by 10 PM Sunday, December 2, 2012.
1) Evaluate
t
e
076.0
300
when t = 15. Round your answer to two decimal places
a) 95.95
b) 39.31
c) 0.00048
d) -1906.12
e) None of these
2) If 12)(
3
x
xg is a transformation of f(x) =
x
2 the g(x) is
a) Shifted right three units and down one unit
b) Shifted up three units and left one unit
c) Shifted up three units and right one unit
d) Shifted left three units and up one unit
e) None of these
3) Match the graph with the correct function
a)
1
3
x
y
b) 3 1
x
y
c)
1
3
x
y
c) 3 1
x
y
e) None of these
4) The domain of ( ) 1
x
f x
e
is
a) ( , 0)
b) (0, )
c) ( 1, )
d) (1, )
e) None of these
5) $1500 invested at a rate of 8% compounded quarterly. What is the balance at the end of 5
years?
a) $1624.67
b) $2,237.74
c) $2226.04
d) $2,228.92
e) None of these
6) Evaluate
1
ln
x
e
a)
1 x
e
b) e
c) x – 1
d) ln(1 )x
e) None of these
7) Find the vertical asymptote ( ) ln( 2)f x x
a) x = 2
b) x = 0
c) y = 2
d) x = – 2
e) None of these
8) Students in an algebra class were given an exam and then tested monthly with an
equivalent exam. The average score for the class was given by the human memory model
10
( ) 85 16log ( 1), 0 12f t t t where t is the time in months. What is the average
score for the class after three months?
a) 77
b) 67
c) 63
d) 75
e) None of these
9) Use the change of base formula to identify the expression that is equivalent to
log
t
u
a)
log
log
t
u
b) u log t
c)
log
log
u
t
d) logt u
e) None of these
10) Write as a sum, difference, or multiple of logarithms:
2
3log
a b
c
a)
2 log log
log
a b
c
b)
1 2 log log
3 log
a b
c
c)
1
(2 log log log )
3
a b c
d)
23 2 log log loga b c
e) None of these
11) Use the one-to-one property to solve the following equation for x:
6 1
1
2
7
3
x
a) 3
b)
1
3
c)
2
3
d)
1
2
e) None of these
12) Find the exact value of 7(log log )x y
a)
7
log
x
y
b)
7
7
log
x
y
c) 7(log log )x y
d)
7
log
x
y
e) None of these
13) Find the exact value of
2.50
ln lne e
a) 2.5
b) 1.25
c) 2
d)5
e) None of these
14) Simplify the expression
5
log 150
a) the expression cannot be simplified
b)
5
2 log 6
c)
5
30 log 2
d) 6
e) None of these
15) The expression
2
2
log
x
y
is equivalent to
a)
2 2
1
[log log ]
2
x y
b)
2 2
1
log log
2
x y
c)
2 2
1
[log log ]
2
x y
d)
2 2
1
log log
2
x y
e) None of these
16) Evaluate log 24 given that log 2 = 0.4307, log 3 = 0.6826
a) 0.8820
b) 1.9747
c) 0.2940
d) 1.1133
e) None of these
17) Simplify:
34
ln e x
a)
3 1
ln
4 4
x
b)
3
ln
4 4
x
c)
3 1
ln
4 4
e
x
d)
3
ln
4 4
e x
e) None of these
18) Solve for x: ln 3x
a)
1
3
b) 3
c)
3
1
e
d)
3
e
e) None of these
19) Solve for x: log(3 7) log( 2) 1x x
a)
8
3
b)
8
3,
3
c) 2
d)
5
2,
3
e) None of these
20) The spread of a flu virus through a certain population is modeled by
0.7
1000
1 990
t
y
e
where y is the total number infected after t days. In how many days will 820 people be
infected with the virus?
a) 11 days
b) 10 days
c) 13 days
d) 12 days
e) None of these
