The partial fraction decomposition of
x
2
+
11
(
x
−
3
)
(
x
2
+
4
)
x
2
+
11
(
x
-
3
)
(
x
2
+
4
)
can be written in the form of
f
(
x
)
x
−
3
+
g
(
x
)
x
2
+
4
.
f
(
x
)
x
-
3
+
g
(
x
)
x
2
+
4
.
The possible anwsers for
f
(
x
)
f
(
x
)
and
g
(
x
)
g
(
x
)
are (a)
A
A
, a constant, or (b)
A
x
+
B
A
x
+
B
, a linear function
Given the choice between receiving $1.000.000 in one month or a single penny-doubled everyday for the period of one month; which option would you choice? show your work to support your answer. (assume that 1 month=30 days)