Drug concentration. A drug is administered to a patient through an IV drip. The drug concentration (in milligrams/milliliter) in the bloodstream t hours after the drip was started by C ( t ) = 5 t 2 ( t + 50 ) t 3 + 100 . Find and interpret lim t → ∞ C ( t ) .
Drug concentration. A drug is administered to a patient through an IV drip. The drug concentration (in milligrams/milliliter) in the bloodstream t hours after the drip was started by C ( t ) = 5 t 2 ( t + 50 ) t 3 + 100 . Find and interpret lim t → ∞ C ( t ) .
Drug concentration. A drug is administered to a patient through an IV drip. The drug concentration (in milligrams/milliliter) in the bloodstream t hours after the drip was started by
C
(
t
)
=
5
t
2
(
t
+
50
)
t
3
+
100
. Find and interpret
lim
t
→
∞
C
(
t
)
.
A company training program determines that, on average, a new employee can produce N( t) pieces of work per day after t days of on-the-job training, where N(t)=(87+42t)/t+6. Find lim s-9 N( t).
A patient receives a 150-mg injection of a drug every 4 hours. The graph shows the amount f(t) of the drug in the bloodstream Find after t hours
Find lim F(t) and lim f(t)
t->4− t-> 4+
lim f(t) = mg
t → 4−
lim f(t) = mg
t → 4+
Movie expenditures, in billions of dollars, on advertising in a certain format from 1995 to 2004 can be approximated by
f(t) =
0.04t + 0.33
if t ≤ 4
−0.01t + 1.5
if t > 4,
where t is time in years since 1995.
(a)
Compute
lim t→4− f(t).
(If an answer does not exist, enter DNE.)
Interpret the answer.
Shortly 1999 (t = 4), annual advertising expenditures were close to $ billion.
Compute
lim t→4+ f(t).
(If an answer does not exist, enter DNE.)
Interpret the answer.
Shortly 1999 (t = 4), annual advertising expenditures were close to $ billion.
(b)
Is the function f continuous at t = 4?
YesNo
What does the answer tell you about movie advertising expenditures?
Movie advertising expenditures in 1999.
Chapter 2 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
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