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Mathematics
Mathematics
Problem
Consider the function
h
(
x
)
=
(
x
2
+
1
)
e
3
x
h(x)=(x^{2}+1)e^{3x}
h
(
x
)
=
(
x
2
+
1
)
e
3
x
. (a) Find
h
′
′
(
0
)
h''(0)
h
′′
(
0
)
. Present your answer exactly. (b) Using the result from part (a), provide a decimal approximation of
h
′
′
(
0
)
h''(0)
h
′′
(
0
)
rounded to three decimal places.
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