I need help with these questions, thanks! You are already helping me with another assignment, so I figured maybe you can with this too..The
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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)
²ind the EXACT solution to the equation below
(do not give
a decimal approximation)
.
log
(
x
2
)+
log
(
x
7
)
log
(
19
x
)
=
3
x
=
2.
(1 pt) The population of a colony of rabbits grows expo
nentially. The colony begins with 5 rabbits; 5 years later there
are 390 rabbits.
(a) Express the population of the colony of rabbits,
P
, as a
function of time,
t
, in years.
P
(
t
)=
(b) Use the graph to estimate how long it takes for the pop
ulation of rabbits to reach 1000 rabbits.
It will take
years. (round to nearest 0.01 year)
3.
(1 pt)
If
f
(
x
)=
e
8
x
,
g
(
x
)=
8
x
+
8 , and
h
(
x
)=
p
x
. ²ind a
simpliFed formula for the function below:
f
(
g
(
x
)
)
h
(
x
)=
4.
(1 pt)
What is the domain of
y
=
ln
(
x
2
+
3
x

18
)
?
click here for help using interval notation
5.
(1 pt) Using the properties of logarithms, decide whether
each equation is true or not.
?
1. ln
(
A
)
ln
(
B
)=
ln
(
A
)+
ln
(
B
)
?
2.
log
(
A
)
log
(
B
)
=
log
(
A
)

log
(
B
)
?
3. log
(
AB
)=
log
(
A
)+
log
(
B
)
?
4. log
(
p
A
)=
1
2
log
(
A
)
?
5.
p
ln
(
A
)=
ln
(
A
(
1
/
2
)
)
?
6.
p
·
ln
(
A
)=
ln
(
A
p
)
6.
(1 pt)
²ind the inverse function (if it exists) of
h
(
x
)=
x
2
x
+
3
. If the
function is not invertible, enter
NONE
.
h

1
(
x
)=
(notice in this problem the independent variable in the inverse
is
x
)
7.
(1 pt)
²ind the inverse function (if it exists) of
f
(
x
)=
ln
(
7

8
x
)
.
If the function is not invertible, enter
NONE
.
f

1
(
x
)=
(notice in this problem the independent variable in the inverse
is
x
)
8.
(1 pt)
²ind the inverse function of
g
(
x
)=
p
x
+
2
3

p
x
. If the function
is not invertible, enter
NONE
.
g

1
(
x
)=
1
Answer