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MATH
203
Winter
2016 F
WeBWorK assignment number Assignment
2
W14 is due : 01/27/2016 at 03:00am EST.
The
(* replace with url for the course home page *)
for the course contains the syllabus, grading policy and other information.
This ?le is /conf/snippets/setHeader.pg you can use it as a model for creating ?les which introduce each problem set.
The primary purpose of WeBWorK is to let you know that you are getting the correct answer or to alert you if you are making
some kind of mistake. Usually you can attempt a problem as many times as you want before the due date. However, if you are
having trouble ?guring out your error, you should consult the book, or ask a fellow student, one of the TA’s or your professor for
help. Don’t spend a lot of time guessing – it’s not very ef?cient or effective.
Give 4 or 5 signi?cant digits for (?oating point) numerical answers. For most problems when entering numerical answers,
you can if you wish enter elementary expressions such as 2
?
3 instead of 8,
sin
(
3
*
pi
/
2
)
instead of 1,
e
?
(
ln
(
2
))
instead of 2,
(
2
+
tan
(
3
))
*
(
4

sin
(
5
))
?
6

7
/
8 instead of 27620.3413, etc. Here’s the
list of the functions
which WeBWorK understands.
You can use the Feedback button on each problem page to send email to the professors.
1.
(1 pt)
f
(
x
)
g
(
x
)
The graphs of
f
(
x
)
and
g
(
x
)
are given above. Use them to eval
uate each quantity below. Write
DNE
if the limit or value does
not exist (or if it’s in?nity).
1. lim
x
?
0
+
[
f
(
x
)
/
g
(
x
)]
2.
f
(
1
)
g
(
1
)
3.
f
(
g
(
0
))
4. lim
x
?
0
+
[
f
(
g
(
x
))]
2.
(1 pt)
For the function
f
whose graph is given, state the value of the
given quantity, if it exists. If it does not exist, enter ”n” below.
(a) lim
x
?
0
f
(
x
)
(b) lim
x
?
3

f
(
x
)
(c) lim
x
?
3
+
f
(
x
)
(d) lim
x
?
3
f
(
x
)
(e)
f
(
3
)
(a)
(b)
(c)
(d)
(e)
3.
(1 pt) The point
P
(
4
,
4
)
lies on the curve
y
=
?
x
+
2. Let
Q
be the point
(
x
,
?
x
+
2
)
.
a.)
Find the slope of the secant line
PQ
for the following
values of
x
. (Answers here should be correct to at least 6 places
after the decimal point.)
If
x
=
4
.
1, the slope of
PQ
is:
If
x
=
4
.
01, the slope of
PQ
is:
If
x
=
3
.
9, the slope of
PQ
is:
If
x
=
3
.
99, the slope of
PQ
is:
b.)
Based on the above results, estimate the slope of the
tangent line to the curve at
P
(
4
,
4
)
.
Answer:
4.
(1 pt)
A function is said to have a
horizontal asymptote
if either the
limit at in?nity exists or the limit at negative in?nity exists.
Show that each of the following functions has a horizontal
asymptote by calculating the given limit.
lim
x
?
?
10
+
4
x
x
2

6
x
+
13
=
1
Answer