The rate of change in the concentration of a drug with respect to time in a users

Question:

The rate of change in the concentration of a drug with respect to time in a user’s blood is given by

where D(t) is dosage at time t and k is the rate that the drug leaves the bloodstream.

(a) Solve this linear equation to show that, if C(0) = 0, then

(b) Show that if D(y) is a constant D, then

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus With Applications

ISBN: 9780135871348

12th Edition

Authors: Margaret L. Lial

See More Books

Question Posted: Jan 23, 2023 03:41 AM

See More Questions

The rate of change in the concentration of any molecular species X is given by the balance between its rate of appearance and its rate of disappearance. Is the statement true? Explain why or why not.
The rate of change of velocity with respect to time is called acceleration. Suppose that the velocity at time t of a particle is given by v(t) = 2t2. Find the instantaneous acceleration when t = 1...
Given the rapid rate of change in both information technologies and business environments, do you believe that extensive information resource planning efforts are worthwhile for most organizations?...
Given the graph of a degree 5 polynomial below, complete the table of values for either the x-value of a zero, or the multiplicity of the zero. Write roots in order from least to greatest. Root with...
The international polling organization Ipsos reported data from a survey of 2000 randomly selected Canadians who carry debit cards (Canadian Account Habits Survey, July 24, 2006). Participants in...
Youve just joined the investment banking firm of Dewey, Cheatum, and Howe. Theyve offered you two different salary arrangements. You can have $6,100 per month for the next two years, or you can have...
You need to use a long solenoid to produce a magnetic field of magnitude $0.070 \mathrm{~T}$. If the maximum current you are able to run through the windings is $20 \mathrm{~A}$, what is the...
Bracewell Company reported net income of $195,000 for 2012. Bracewell also reported depreciation expense of $45,000 and a loss of $5,000 on the sale of equipment. The comparative balance sheet shows...
4 16. The mean and variance of a binomial distribution area and respectively. If P(X = 1) = then P(X = 4 or 5) is equal to: 243 (a) 1/159 64 (b) $ 16 (c) 81 925 145 (d) 27 243 17. Let E1, E2, E3 be...
Calculate the number of days for the workshops. 11 In cell E5, enter a formula to calculate the number of days for the first workshop. Add 1 to the results to include the total number of days,...
The life (in years) of a certain machine is a random variable with probability density function defined by (a) Find the mean life of this machine. (b) Find the standard deviation of the distribution....
In Exercises, solve each differential equation and graph the function y = f(x) and the polygonal approximation on the same axes. dy dx = x; y(0) = 0
The Ceremicon Company produces teapots from stoneware clay. The company has prepared a sales budget of 150,000 units of teapots for a 3-month period. It has an inventory of 34,000 units of teapots on...
A Value Stream Map does not include the following. Time to move material from one location to another. Special symbols and icons Itemized costs Comprehensive diagram of how material and information...
Gender: Male (1), Female (2) For the (non-music) audio services you have used, what is your satisfaction with the relevance of topics? SiriusXM (4), Spotify (podcasts) (7) Extremely Somewhat Neither...
Find the: Force exerted by left scale ( N ) Horizontal component ( N ) Vertical component ( N ) Force exerted by right scale ( N ) Horizontal component ( N ) Vertical component ( N ) Difference...
Date APP Total Return Total Return % FMF Total Return Tota Return % 21/12/2000 0.70 -0.171 -17% 0.29 0.069 7% 31/12/2001 0.58 -0.017 -2% 0.31 -0.065 -6% 31/12/2002 0.57 0.140 14% 0.29 0.034 3%...
A survey of 1,175 tourists visiting Orlando was taken. Of those surveyed: 297 tourists hadvisited the Magic Kingdom 260 tourists had visited LEGOLAND 70tourists had visited both the Magic Kingdom and...
The mass m in Figure is attached to a rigid rod having inertia I about the pivot and negligible pivot friction. The input is the displacement z. When z = Î¸ = 0, the spring is at its free...
Chao, Louis, and Mari, unrelated individuals, own all of the shares of Cerise Corporation. All three shareholders have been active in the management of Cerise since its inception. In the current...
Simplify each expression by removing as many factors as possible from under the radical. Assume that all variables represent positive real numbers. 8,7 11 X
Simplify each expression by removing as many factors as possible from under the radical. Assume that all variables represent positive real numbers. 128xyz
Simplify each expression by removing as many factors as possible from under the radical. Assume that all variables represent positive real numbers. V160rst2
Given the demand function, P = -Q-4Q +68 and the supply function, PQ+20 +12 (a) (2 points) Find the equilibrium quantity and price. (b) (4 points) Find the consumer's surplus if the equilibrium...
3. There are 10 people lining up for a movie including three friends Anne, Bradley and Carol. a. Determine the number of ways the line could be formed if the three friends will always stand together....
A primary credit card holder's card has an APR of 11.99%. The current monthly balance, before interest, is $6,299.59. The cardholder makes a payment of $350 the first 11 months and then pays off the...

The rate of change in the concentration of a drug with respect to time in a users

Question:

dC dt = −kC + D(t), -KC

Step by Step Answer:

a Therefore b Let Dy D a constant e...View the full answer

Calculus With Applications

Students also viewed these Mathematics questions