hamidou here! a question , posted a file to avoid spam and stuffThe
(* replace with url for the course home page *)
for the course contains the syllabus, grading policy and other information.
This Fle is /conf/snippets/setHeader.pg you can use it as a model for creating Fles 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 Fguring 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 efFcient or effective.
Give 4 or 5 signiFcant digits for (±oating point) numerical answers. ²or 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 ²eedback button on each problem page to send email to the professors.
1.
(1 pt) Consider the function
f
(
x
)=
x
2
e
4
x
.
f
(
x
)
has two in±ection points at x = C and x = D with
C
?
D
where
C
is
and
D
is
²inally for each of the following intervals, tell whether
f
(
x
)
is
concave up (type in CU) or concave down (type in CD).
(

•
,
C
]
:
[
C
,
D
]
:
[
D
,
•
)
2.
(1 pt) Suppose that
f
(
x
)=
3
x
x
2

16
.
(A) List all critical numbers of
f
. If there are no critical num
bers, enter ’NONE’.
Critical numbers =
(B) Use interval notation to indicate where
f
(
x
)
is decreas
ing.
Note:
Use ’IN²’ for
•
, ’IN²’ for

•
, and use ’U’ for the
union symbol.
Decreasing:
(C)List the
x
values of all local maxima of
f
. If there are no
local maxima, enter ’NONE’.
x
values of local maxima =
(D) List the
x
values of all local minima of
f
. If there are no
local minima, enter ’NONE’.
x
values of local minima =
(E) List the
x
values of all in±ection points of
f
. If there are
no in±ection points, enter ’NONE’.
In±ection points =
(²) Use interval notation to indicate where
f
(
x
)
is concave
up.
Concave up:
(G) Use interval notation to indicate where
f
(
x
)
is concave
down.
Concave down:
(H) List all horizontal asymptotes of
f
. If there are no hori
zontal asymptotes, enter ’NONE’.
Horizontal asymptotes
y
=
(I) List all vertical asymptotes of
f
.
If there are no vertical asymptotes, enter ’NONE’.
vertical asymptotes
x
=
(J) Use all of the preceding information to sketch a graph of
f
. When you’re Fnished, enter a ”1” in the box below.
Graph Complete:
3.
(1 pt) Let
f
(
x
)=

x
4

8
x
3
+
3
x
+
4. ²ind the open in
tervals on which
f
is concave up (down). Then determine the
x
coordinates of all in±ection points of
f
.
1.
f
is concave up on the intervals
2.
f
is concave down on the intervals
3.
The in±ection points occur at
x
=
Notes:
In the Frst two, your answer should either be a single
interval, such as (0,1), a comma separated list of intervals, such
as (inf, 2), (3,4), or the word “none”.
In the last one, your answer should be a comma separated list
of
x
values or the word “none”.
4.
(1 pt) A rectangle is inscribed with its base on the xaxis
and its upper corners on the parabola
y
=
11

x
2
. What are the
dimensions of such a rectangle with the greatest possible area?
Width =
Height =
5.
(1 pt) A cylinder is inscribed in a right circular cone of
height 4 and radius (at the base) equal to 6.5. What are the di
mensions of such a cylinder which has maximum volume?
Radius =
Height =
6.
(1 pt) If 1500 square centimeters of material is available to
make a box with a square base and an open top, Fnd the largest
possible volume of the box.
Volume =
cubic centimeters.
1
Answer
(Solution) 04/06/2016 at 03:00am EDT. The (* replace with url for the course home page *) for the course contains the syllabus, grading policy and other...
(Solution) 04/06/2016 at 03:00am EDT. The (* replace with url for the course home page *) for the course contains the syllabus, grading policy and other...
(Solution) 04/06/2016 at 03:00am EDT. The (* replace with url for the course home page *) for the course contains the syllabus, grading policy and other...
(Solution) 04/06/2016 at 03:00am EDT. The (* replace with url for the course home page *) for the course contains the syllabus, grading policy and other...