Decay of Sulfate in the Bloodstream In an animal hospital, 8 units of a sulfate were injected into a dog. After 50 minutes, only 4 units remained in the dog. Let f ( t ) be the amount of sulfate present after t minutes. At any time, the rate of change of f ( t ) is proportional to the value of f ( t ) . Find the formula for f ( t ) .
Decay of Sulfate in the Bloodstream In an animal hospital, 8 units of a sulfate were injected into a dog. After 50 minutes, only 4 units remained in the dog. Let f ( t ) be the amount of sulfate present after t minutes. At any time, the rate of change of f ( t ) is proportional to the value of f ( t ) . Find the formula for f ( t ) .
Solution Summary: The author explains that the formula for f(t) is exponential decay function.
Decay of Sulfate in the Bloodstream In an animal hospital,
8
units of a sulfate were injected into a dog. After
50
minutes, only
4
units remained in the dog. Let
f
(
t
)
be the amount of sulfate present after
t
minutes. At any time, the rate of change of
f
(
t
)
is proportional to the value of
f
(
t
)
. Find the formula for
f
(
t
)
.
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