Average drug dose. The concentration, C ( t ) , of phenylbutazone, in micrograms per milliliter (μg/mL), in the plasma of a calf injected with this anti-inflammatory agent is approximately C ( t ) = 42.03 e − 0.01050 t , where t is the number of hours after the injection and 0 ≤ t ≤ 120 . (Source: A. K. Arifah and P. Lees, “Pharmacodynamics and Pharmacokinetics of Phenylbutazone in Calves,” Journal of Veterinary Pharmacology and Therapeutics , Vol. 25, 299–309 (2002).) a. Given that this model is accurate for 0 ≤ t ≤ 120 , what is the initial dosage? b. What is the average amount of phenylbutazone in the calf’s body for the time between 10 and 120 hours?
Average drug dose. The concentration, C ( t ) , of phenylbutazone, in micrograms per milliliter (μg/mL), in the plasma of a calf injected with this anti-inflammatory agent is approximately C ( t ) = 42.03 e − 0.01050 t , where t is the number of hours after the injection and 0 ≤ t ≤ 120 . (Source: A. K. Arifah and P. Lees, “Pharmacodynamics and Pharmacokinetics of Phenylbutazone in Calves,” Journal of Veterinary Pharmacology and Therapeutics , Vol. 25, 299–309 (2002).) a. Given that this model is accurate for 0 ≤ t ≤ 120 , what is the initial dosage? b. What is the average amount of phenylbutazone in the calf’s body for the time between 10 and 120 hours?
Average drug dose. The concentration,
C
(
t
)
, of phenylbutazone, in micrograms per milliliter (μg/mL), in the plasma of a calf injected with this anti-inflammatory agent is approximately
C
(
t
)
=
42.03
e
−
0.01050
t
,
where t is the number of hours after the injection and
0
≤
t
≤
120
. (Source: A. K. Arifah and P. Lees, “Pharmacodynamics and Pharmacokinetics of Phenylbutazone in Calves,” Journal of Veterinary Pharmacology and Therapeutics, Vol. 25, 299–309 (2002).)
a. Given that this model is accurate for
0
≤
t
≤
120
, what is the initial dosage?
b. What is the average amount of phenylbutazone in the calf’s body for the time between 10 and 120 hours?
The graphs of the function F (left, in blue) and G (right, in red) are below. Answer the following questions.
F'(1)
G'(1)
F'(6)
G'(6)
1. One of the partial fractions for
2
4x²+x-9
x3+2x²-3x
2
x+1
a) x23 b) x 1½ c) x² d)
x-1
x
is
1. One of the partial fractions for
2
2
4x²+x-9
x3+2x²-3x
a) x3 b) x11 c) x² d) z
x-1
2. Identify the improper integral.
1 x
2 x
dx
a) 3x dx b) f² 3x dx
0 3-2x
0 3-2x
x
is
c) √2^:
4
√232x dx d) fo² 3x dx
1 1
0 3-2x
B. So eax dx converges to
if
:
a) O if a0 c) - 1½ ifa 0
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