Question
Assume that the rate of excretion of drug is given by R(t) = 3 ?^−0.05? mg/hour...
Assume that the rate of excretion of drug is given by R(t) = 3 ?^−0.05? mg/hour and the amount of drug excreted at time t=0 is 0 mg. Find the amount of drug excreted, E(t), at time t hour. Note: Show all your work
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
1)The concentration of a drug in an organ at any time t (in seconds) is given...
1)The concentration of a drug in an organ at any time t
(in seconds) is given by
x(t) = 0.08 + 0.18(1 −
e−0.04t)
where x(t) is measured in milligrams per cubic
centimeter (mg/cm3).
(a) What is the initial concentration of the drug in the
organ?
mg/cm3
(b) What is the concentration of the drug in the organ after 18
sec? (Round your answer to four decimal places.)
mg/cm3
2)Jane took 120 mg of a drug in the morning and...
Oil leaked from a tank at a rate of r(t) liters per hour. Values of the...
Oil leaked from a tank at a rate of r(t) liters per hour. Values
of the rate at 2-hour intervals are given in the table below.
time (hours)r(t) (liters per hour)
0
2
4
6
8
10
12
8.7
7.6
6.8
6.2
5.7
5.3
5.0
(a) Use a Left Hand Sum with n=3 subdivisions to give an
approximation on the total amount of oil lost over the time
interval from t=0 to t=12 hours. Include units in your
answer.
(b)...
Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased...
Oil leaked from a tank at a rate of r(t)
liters per hour. The rate decreased as time passed, and values of
the rate at two hour time intervals are shown in the table. Find
lower and upper estimates for the total amount of oil that leaked
out.
V
≈
L (lower estimate)
V
≈
L (upper estimate)
t
(h)
0
2
4
6
8
10
r(t) (L/h)
8.8
7.9
6.8
6.2
5.6
5.3
Find r(t) for the given conditions. r''(t) = −7 cos(t)j − 3 sin(t)k, r'(0) = 3k, r(0) =...
Find r(t) for the given
conditions.
r''(t) = −7
cos(t)j − 3
sin(t)k, r'(0)
=
3k, r(0)
= 7j
The position of an object at time t is given by: r(t)=e^−t i + e^t j...
The position of an object at time t is given by: r(t)=e^−t i +
e^t j − t√2 k, 0≤ t<∞. (a) Determine the velocity v and the
speed of the object at time t. (b) Determine the acceleration of
the object at time t. (c) Find the distance that the object travels
during the time interval 0≤ t<ln3. Answers: (a) = velocity: v
=−e^−t i + e^t j − √2 k; speed: ||v||= e^t + e^−t, (b) =
acceleration:...
A radioactive material disintegrates at a rate proportional to the amount currently present. If Q(t) is...
A radioactive material disintegrates at a rate proportional to
the amount currently present. If Q(t) is the amount present at time
t, then
dQ/dt =−rQ
where r>0 is the decay rate.
If 100 mg of a mystery substance decays to 81.14 mg in 4 weeks,
find the time required for the substance to decay to one-half its
original amount. Round the answer to 3 decimal places.
______________weeks
6. Given vector function r(t) = t2 − 2t, 1 + 3t, 1 3 t 3...
6. Given vector function r(t) = t2 − 2t, 1 + 3t, 1 3 t 3 + 1 2 t
2 i (a) Find r 0 (t) (b) Find the unit tangent vector to the space
curve of r(t) at t = 3. (c) Find the vector equation of the tangent
line to the curve at t = 3
A certain drug has a half-life in the bloodstream of 2 hours. Doses of D mg...
A certain drug has a half-life in the bloodstream of 2 hours.
Doses of D mg will be administered every 6 hours, with D to be
determined. a) What percentage of a single dosage remains after 6
hours?; after 12 hours?
b) Express the number of milligrams of drug in the bloodstream
after the nth dose has been administered as a geometric series.
c) What is the long-run level of the drug in the bloodstream,
assuming that D mg continue...
1. Suppose a drug is administered to a patient through an intravenous line at a rate...
1. Suppose a drug is administered to a patient through an
intravenous line at a rate of r mg/hr. The rate at which the drug
is metabolized causes the patient to eliminate 5% of the amount of
the drug in their system per hour. Let y(t) represent the amount of
the drug in the patients system t hours after it began to be
administered.
a) write a first-order differential equation involving the
function y that represents the situation along with...
The traffic flow rate (cars per hour) across an intersection is r ( t ) =...
The traffic flow rate (cars per hour) across an intersection is
r ( t ) = 500 + 800 t − 180 t^2 , where t is in hours, and t =0 is
6am. How many cars pass through the intersection between 6 am and
10 am?
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 3 minutes ago
asked 18 minutes ago
asked 29 minutes ago
asked 53 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago