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Mathematics
Mathematics
Problem
Let
A
(
t
)
=
200
e
0.06
t
A(t)=200e^{0.06 t}
A
(
t
)
=
200
e
0.06
t
represent the amount, in milligrams, of a substance after
t
t
t
days. What is
A
′
(
4
)
A'(4)
A
′
(
4
)
, the instantaneous rate of change of the amount at
t
=
4
t=4
t
=
4
days? (Units: mg/day) a)
254
mg/day
254\text{ mg/day}
254
mg/day
b)
12
mg/day
12\text{ mg/day}
12
mg/day
c)
15.3
mg/day
15.3\text{ mg/day}
15.3
mg/day
d)
61.0
mg/day
61.0\text{ mg/day}
61.0
mg/day
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