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33. (a)
Absolute maximum at (1, 2);
absolute minimum at (3,
2
2)
(b)
None
(c)
One possible answer:
34. (a)
Absolute maximum at (0, 2);
absolute minimum at (2,
2
1) and (
2
2,
2
1)
(b)
At (1, 0) and (
2
1, 0)
(c)
One possible answer:
(d)
Since
f
is even, we know
f
(3)
5
f
(
2
3). By the
continuity of
f
, since
f
(
x
)
,
0 when 2
,
x
,
3, we
know that
f
(3)
#
0, and since
f
(2)
52
1 and
f
9
(
x
)
.
0
when 2
,
x
,
3, we know that
f
(3)
.2
1. In
summary, we know that
f
(3)
5
f
(
2
3),
2
1
,
f
(3)
#
0,
and
2
1
,
f
(
2
3)
#
0.
35.
36.
37. (a)
v
(
t
)
5
s
9
(
t
)
5
2
t
2
4
(b)
a
(
t
)
5
v
9
(
t
)
5
2
(c)
It begins at position 3 moving in a negative direction. It
moves to position
2
1 when
t
5
2, and then changes
direction, moving in a positive direction thereafter.
38. (a)
v
(
t
)
5
s
9
(
t
)
52
2
2
2
t
(b)
a
(
t
)
5
v
9
(
t
)
52
2
(c)
It begins at position 6 and moves in the negative
direction thereafter.
39. (a)
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.
 Spring '08
 GERMAN

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