Question

The rate at which a drug leaves the bloodstream is proportional to the concentration of the...

The rate at which a drug leaves the bloodstream is proportional to the concentration of the drug in the blood.

A) Iif the concentration is given by C[t], what differential equation does C[t] satisfy?

B) Give a formula for C[t].

C) How many parameters does your formula have, and how many data points would you need to find all of them?

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The speed with which a drug spreads in the bloodstream is governed by the differential equation,...
The speed with which a drug spreads in the bloodstream is governed by the differential equation, dX/dt=a-bX where a and b are positive constants. The function X (t) describes the amount of the drug in the bloodstream at an instant t. Find the limit value of X (t) when t goes to infinity. How long does the concentration of the drug take to reach half of this limit concentration? Assume that at time t = 0 the amount of the...
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 The Problem: Drugs in Series[1] One of the physician’s responsibilities is to give medicine dosage...
1 The Problem: Drugs in Series[1] One of the physician’s responsibilities is to give medicine dosage for a patient in an effective manner. Two mathematical techniques help physicians analyze the concentration of drug is the bloodstream of a patient: the exponential decay model (EDM) and the Geometric Series and its Formula (GSF). In this problem, we will analyze the situation where a drug is administered intravenously and that the concentration of the drug in the bloodstream jumps almost immediately to...
1. The table below gives data on the CO2 concentration in parts per million (ppm) by...
1. The table below gives data on the CO2 concentration in parts per million (ppm) by year. Year CO2 Concentration (in ppm) 1970 325.54 1980 338.99 1990 354.29 2000 369.64 2010 389.21 We start by making points of the data. We let x be the number of years since 1970 and y be the concentration of CO2 in ppm. Give a list of the 5 points we are considering, and plot them on a graph. I suggest using Desmos (https://www.desmos.com/calculator)...
ANOVA: One Way: A drug trial using different levels of a drug to reduce blood pressure...
ANOVA: One Way: A drug trial using different levels of a drug to reduce blood pressure is conducted to determine the best dosage. A one Way ANOVA is conducted. Claim: The reduction of blood pressure differs by dosage. The results of the study are given in the ANOVA table ANOVA Source of Variation SS df MS F P-value Between Groups 360 4 D E 0.0138 Within Groups A B C Total 660 19          Complete the Table:   A...
Oxygen-rich blood bound for the body tissues leaves the heart through the aorta, the major blood...
Oxygen-rich blood bound for the body tissues leaves the heart through the aorta, the major blood vessel emerging from the heart. It branches out to the arteries, which in turn branch into smaller vessels called arterioles (little arteries). These then branch into tiny, thin-walled capillaries. Blood travels slowly as the red blood cells squeeze through tiny capillaries. The radius of the aorta is approximately 9.8 mm and the speed of the blood there is 30 cm/s. A typical capillary has...
Differential equations 1. In many states in the USA it is illegal to drive with an...
Differential equations 1. In many states in the USA it is illegal to drive with an alcohol level greater than 0.10 percent (one part of alcohol per 1000 parts of blood). Suppose someone is arrested in one of these states and is found to have a 0.8% blood alcohol percentage. Assuming that the percentage of alcohol in the bloodstream decreases proportionally to the percentage of alcohol, and that the alcohol concentration also decreases 10 percent every hour, determine how much...
Newton’s Law of Cooling tells us that the time rate of chnge in temperature T(t) of...
Newton’s Law of Cooling tells us that the time rate of chnge in temperature T(t) of a body immersed in a medium of constant temperature A is proportional to the difference A − T.The DE modeling this is dT dt = k(A − T). A cup of hot chocolate is initially 170◦ F and is left in a room with an ambient temperature of 70◦ F. Suppose that at time t = 0 it is cooling at a rate of...
Sharpe Pharmaceuticals has developed a new drug called Zantor that can cure anxiety disorders. Sharpe Pharmaceuticals...
Sharpe Pharmaceuticals has developed a new drug called Zantor that can cure anxiety disorders. Sharpe Pharmaceuticals has a patent on the production of Zantor. Suppose the demand Zantor is given by the equation P=86-1/3000Q and the marginal revenue is given by the equation MR=86-1/1500Q. Further suppose that the marginal cost of producing Zantor is MC=6 and the average total cost is given by the formula: ATC=100,000/Q+6 (4 points) Calculate the profit-maximizing price and quantity. (4 points) How much profit does...
I have already posted this questions once... but some doofus responded with "additional information needed". But...
I have already posted this questions once... but some doofus responded with "additional information needed". But I posted all the information that the question gives, word for word. So i'm going to give it another shot. Here is a similar question to Part A. (http://www.chegg.com/homework-help/questions-and-answers/technician-large-pharmaceutical-research-firm-need-produce-450ml-100m-potassium-phosphate--q1392759) ± Buffers in Medicine The Henderson-Hasselbalch equation relates the pH of a buffer solution to the pKa of its conjugate acid and the ratio of the concentrations of the conjugate base and acid. The equation...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT