Answered: The concentration, y, of a drug in the…

The concentration, y, of a drug in the bloodstreamt seconds after injection into a muscle is given by y = 2(e-14t – e-160) for t 2 0. The concentration is maximum after t = 0.06676 seconds.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...

See similar textbooks

Related questions

Q: Students in a fifth-grade class were given an exam. During the next 2 years, the same students were…

Q: The number of bacteria In a refrigerated food product is given by N(T) = 20T² – 96T + 24, 5<T< 35…

A: Given,

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

Q: The number N of bacteria present in a culture at time t (in hours) obeys the model N(t) = 1000e0.01t…

A: Find out the time (in hours) when the bacteria reach 1700.

Q: The number N of bacteria in a culture is given by the model N = 175ekt, where t is the time in…

A: Given: The number N of bacteria in a culture is given by the model N = 175ekt, where t is the time…

Q: *3.1 Determine the t-value for Eso-

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. Nevada's population in 1990 was 14.2 million and can be modeled by y = 14.2e0.0079t where t is…

Q: Given a cooling coefficient y of 0.1, how long does it take water at 20°C to freeze (reach 0°C) in…

A: Newton's law of Cooling is used

Q: is

Q: If a substance is injected into the bloodstream, the percent of the maximum dosage that is present…

Q: The population p(t) of a bacteria culture is given by p(t) = -1200tˆ2 + 36000t + 70000, where t is…

A: Given equation of population p(t) of a bacteria culture is

Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

A: In the question it is asked to calculate instantaneous velocity of the rocket at the instant when…

Q: If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height in meters t…

Q: The annual world rate of water use t years after 1960 for t<35 was approximately 860 e^.04t cubic…

A: We have given the annual world rate of water use t years after 1960 for t<35 was approximately…

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given query is to find the maximum concentration of antibiotics in bloodstream.

Q: The number of bacteria at present time t can be represented by B (t)- Boet. Calculate the initial…

A: *** This is the problem related to DIFFERENTIAL EQUATIONS and we are Advanced math expert and have…

Q: The metabolic rate r (in kilocalories per day) of any mammal can be modeled by using the formula r =…

A: An exponential function is a function in which the independent variable is present as an exponent.…

Q: The population of a certain inner-city area is estimated to be declining according to the model…

Q: A ball is thrown vertically upward from a height of 8 feet with an initial velocity of 48 feet per…

A: The ball height's thrown upward from a height of 8 feet with an initial velocity is of 48 feet per…

Q: The number of shoppers in a Wal-Mart t hours after opening at Midnight of Black Friday is given by…

Q: The United States has been consuming iron ore at the rate of R(t) million metric tons per year at…

A: Given : R(t) = 16e0.015t To find the formula T(t).

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(z)…

A: Given that the value of China's exports of automobiles and parts(in billions of dollars) is…

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given that, After an antibiotic tablet is taken, the concentration of the antibiotic in the…

Q: The concentration, y, of a drug in the bloodstream t seconds after injection into a muscle is given…

A: To determine the maximum concentration of a drug in the bloodstream.

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

Q: A dead body was found within a closed room of a house where the temperature was a constant 70°F. At…

Q: A certain species of deer is to be introduced into a forest, and wildlife experts estimate the…

Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 16 x = 180 when p = $5…

Q: A population of bacteria is growing according to the equation P(t)=850e0.22tP(t)=850e0.22t. Estimate…

Q: A population of bacteria is growing according to the equation P(t) = 300e0.17t , where t is the…

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given query is to find the maximum concentration of antibiotics in the blood during the first 12…

Q: The concentration, y, of a drug in the bloodstream t seconds after injection into a muscle is given…

A: Given, The concentration, y, of a drug in the bloodstream t seconds after injection into a…

Q: · Suppose that t hours after the injection of x milligrams of adrenalin the response is R units…

Q: The traffic flow rate past a certain point on a highway is g(t) = 1100 + 2000t - 480t² where t is in…

A: topic - functions

Q: A 8,000-liter cistern is empty when water begins flowing into it (at t= 0) at a rate (in L/min)…

A: Given the function for rate of water flowing is, Here t is measured in minutes. a. Given the time…

Q: According to a study conducted in 2003, the total number of U.S. jobs (in millions) that are…

A: Given Plugging t=5, Therefore the projected number of outsourced jobs for 2005 (t = 5) is 80…

Q: f the temperature at 11:00 p.m. on Wednesday is warmer than Tuesday's temperature (-10 degrees…

A: We can form a linear equation based on the hints given in the question.

Q: The size of a stray cat population at the bay area of a certain city grows at a rate of 7% monthly.…

Q: Find the values of x for which y is increasing most rapidly or decreasing most rapidly. 112 Let y =…

Q: A pitcher of buttermilk initially at 27°C is to be cooled by settling in on a place where the…

A: At time t=0 minutes, temperature of buttermilk = 270C At time t=20 minutes, temperature of…

Q: n the United States, the percentage of adults (age 20–74) classified as obese held steady through…

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

A: We need to find estimated years and oil barrels.

Q: A stone is thrown vertically into the air at an initial velocity of 71 ft/s. On a different planet,…

Q: The rate at which blood pressure decreases in the aorta of a normal adult after a hearbeat is dp/dt=…

A: It is given that rate at which the blood pressure decreases in the normal adult is…

Q: A ball is thrown vertically upward. After t seconds, the height h (in feet) of the ball is given by…

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D =…

A: Given:

Q: B) On a college campus of 5000 students, one student returns from vacation with a contagious and…

A: Given, Y=50001+4999e-0.8t.....................(1) Where, 'Y' is the Total Number of students…

Question

Please provide the answer clear

The concentration, y, of a drug in the bloodstreamt seconds after injection into a muscle is given by
y = 2(e-14t - e-16) for t 2 0.
The concentration is maximum after t = | 0.06676
seconds.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Simulation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?
When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream After t minutes is given by C(t)=0.06t0.0002t2 where 0t240 and concentration is measured in mg/L .When is the maximum serum concentration reached, and what is that maximum concentration?
The population Pinmillions of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?
Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.
If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.
The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use the model to approximate how many years it will take for the beaver population to reach 78.
The population of a city is modeled by the equation P(t)=256,114e0.25t where t is measured in years. Ifthe city continues to grow at this rate, haw manyyears will it take for the population to reach onemillion?