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Name:
_______________________________
_
MAT295:UC 
Final Exam
Fall 2007
Instructions:
Put
your
full
name on the top of the front page. Read all questions carefully and answer them
fully,
showing
all
work. Answers must be simplified only where such
is
given in the statement of the individual problem.
All
answers must be left
in exact
form.
Unsupported answers and illegible work may receive little or no credit.
You
must stop immediately when time
is
called.
Short
Answer
Section.
No
partial
credit.
1.
Fill in
the
blank. (3 pts. each)
(a)
=
~
dx
J
(b)
=
cos
x dx
J
d
(c)
cos
x
2.
Solve for
x.
(3
pts.
each)
(a)
(b)
______
log",
8
=
3
3. (4
pts.)
The
definition
of
continuity says
that
a function
f(x)
is continuous
at
x
a
if
what
equation
holds?
4. (5
pts.)
Multiple choice.
(a)
Which
is
the
graph
of
f
(x)
if you know
these
facts:
f
(x)
is increasing
on
the
interval (4,
00)
f
(x)
has
an
inflection
point
at
the
point
(1,0)
1'(
2)
=
O.
1.
(b)

=
tan
1
(
v;)
7r
7r
7r
b.
7r
e. none
of
these.
a.
4
c. 6
d. 2
3
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5. Suppose
that
f
is a function
that
is
both
continuous
and
differentiable
at
every
number
and
that
f(l)
3
and
f(5)
=
11. (3
pts. each)
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 Spring '11
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 Trigraph, pts, 2cm, 1 l

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