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12. (a)
The domain is
x
±
2. (See the solution for 11.(c)).
(b)
f
9
(
x
)
5
h
Section 4.1 Exercises
1.
Maximum at
x
5
b
, minimum at
x
5
c
2
;
The Extreme Value Theorem applies because
f
is
continuous on [
a
,
b
], so both the maximum and minimum
exist.
2.
Maximum at
x
5
c
, minimum at
x
5
b
;
The Extreme Value Theorem applies because
f
is
continuous on [
a
,
b
], so both the maximum and minimum
exist.
3.
Maximum at
x
5
c
, no minimum;
The Extreme Value Theorem does not apply, because the
function is not defined on a closed interval.
4.
No maximum, no minimum;
The Extreme Value Theorem does not apply, because the
function is not continuous or defined on a closed interval.
5.
Maximum at
x
5
c
, minimum at
x
5
a
;
The Extreme Value Theorem does not apply, because the
function is not continuous.
6.
Maximum at
x
5
a
, minimum at
x
5
c
;
The Extreme Value Theorem does not apply since the
function is not continuous.
7.
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Fall '08 term at University of Florida.
 Fall '08
 GERMAN
 Derivative

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