Solution-Find the limiting long-run value of q

Find the limiting long-run value of q

Assignment Help Mathematics

Reference no: EM131612618

Question: A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate proportional to the quantity present, with constant of proportionality α > 0.

(a) Solve a differential equation for the quantity, Q, in milligrams, of the drug in the body at time t hours. Assume there is no drug in the body initially. Your answer will contain r and α. Graph Q against t. What is Q∞, the limiting long-run value of Q?

(b) What effect does doubling r have on Q∞? What effect does doubling r have on the time to reach half the limiting value, ½ Q_∞?

Reference no: EM131612618

Questions Cloud

Consumer choice and simple versus complex : Analyze two attribute-based choices that consumers make when dealing with retail goods and services. Determine two ways that pricing structures.

Analyze your draft menu and make necessary changes : Analyze your draft menu and make necessary changes to your menu to meet the requirementsfor the following Food Groups.

Find the concentration of carbon monoxide at time t : When people smoke, carbon monoxide is released into the air. In a room of volume 60 m3, air containing 5% carbon monoxide is introduced at a rate.

Compute net operating profit after tax : Forecasting and Estimating Share Value Using the DCF Model - Compute net operating profit after tax (NOPAT) for 2012

Find the limiting long-run value of q : A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate proportional to the quantity present.

Clear violation of the rules of employer : Two stockbrokers, in clear violation of the rules of their employer, sold worthless stocks to unsuspecting customers.

Describe some of the pitfalls experienced : Describe some of the pitfalls experienced, as well as some of the benefits which sports can contribute to the daily life of young adult?

What types of potential behaviors to traumatized victims : What types of potential behaviors should you look for to identify traumatized victims

Based on the lecture and webtext materials : Identify the most significant problems with the way foreign aid is presently dispensed by international lending institutions (the World Bank and IMF).

User Account

All Pages

Find the limiting long-run value of q

Reference no: EM131612618

Reference no: EM131612618

Questions Cloud

Reviews

Write a Review

Mathematics Questions & Answers

Questions on ferris wheel

Logistic map

Finding the probability of cards

Systems of ode

Derive the boolean expression

System of equations

Linear programming problem

Find the natural domain

Introduction to numerical methods

Chart of the topological manifold

Mathematics in computing

Complex problems

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT