calculas

profileaaa6j
qu.doc

1. Find a constant c that makes g continuous on

image1.wmf

)

,

(

¥

image2.wmf

î

í

ì

³

+

<

-

=

4

;

20

4

;

)

(

2

2

x

cx

x

c

x

x

g

2. Without using a calculator, find all asymptotes to the graph of

image3.wmf

8

2

5

2

3

)

(

2

2

-

+

-

=

=

x

x

x

x

f

y

3. Without using a calculator, find

image4.wmf

2

3

2

lim

2

2

2

+

-

-

-

®

x

x

x

x

x

4. Find the equation of the tangent line to the curve

image5.wmf

3

)

(

+

=

=

x

x

f

y

at
image6.wmf

.

16

=

x

5. For

image7.wmf

,

4

)

(

x

x

f

=

find
image8.wmf

h

x

f

h

x

f

h

)

(

)

(

lim

0

-

+

®

6.

image9.wmf

î

í

ì

-

<

+

-

³

=

1

;

2

1

;

2

)

(

2

x

x

x

x

x

f

a) Find L =

image10.wmf

)

(

lim

0

x

f

x

®

b) Using your calculator, find a number

image11.wmf

0

>

d

so that if
image12.wmf

d

<

<

|

|

0

x

, then
image13.wmf

01

.

0

|

)

(

|

<

-

L

x

f

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