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MAC2233 Final A
(7 pts) 1. Given
y
2
x
2
+ 3
x
= 3
y
3
,
y
0
is given by:
A.
2
xy
2
+3
9
y
2

2
yx
2
B.
2
xy
2
+3
9
y
2
+2
yx
2
C.
2
xy
2

3
9
y
2

2
yx
2
D.
2
xy
2
+3
9
y
3
+2
yx
2
E.
2
xy
2
+3
9
y
2

2
y
2
x
2
(7 pts) 2. Given
h
(
x
) = (4
x
2

3
x
ln
x
)
3
,
h
0
(1) is equal to:
A. 120
B. 80
C. 240
D. 180
E. 360
(7 pts) 3. The deﬁnite integral
R
2

2
5
x
3

6
x dx
is equal to:
A.
11
6
B. 
11
6
C.
5
6
D.
7
6
E. 0
(7 pts) 4. An investor places $3000 in an account which compounds quarterly at a standard rate
of 8%; how long will it take for his investment to double?
A.
ln 2
4 ln 1
.
02
years
B.
ln 6000
3000 ln 1
.
02
years
C.
ln 6000
12
,
000 ln 1
.
02
years
D.
ln 2
4 ln 3
years
E.
ln 2
ln 1
.
02
years
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View Full Document (7 pts) 5. Given
f
(
x
) = 2
xe

x
, which of the following statements are true:
I.
f
(
x
)
≥
0 for all
x
II. the function is decreasing for
x >
1
III. the function is concave upward on (2
,
+
∞
)
IV. there is an inﬂection point at
x
= 2
A. only III
B. only II and III
C. only II and IV
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This note was uploaded on 12/27/2011 for the course MAC 2233 taught by Professor Smith during the Spring '08 term at University of Florida.
 Spring '08
 Smith
 Calculus

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