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Mathematics
Mathematics
Problem
Consider
h
(
t
)
=
b
e
2
t
−
t
h(t)=b e^{2t}-t
h
(
t
)
=
b
e
2
t
−
t
. Determine the value of
b
b
b
for which the instantaneous rate of change of
h
h
h
at
t
=
0
t=0
t
=
0
equals the average rate of change of
h
h
h
over the interval
[
0
,
1
]
[0,1]
[
0
,
1
]
.
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