Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular drug's effects. The concentration, C, in mg/L, of a particular medication after being injectedinto a patient can be given by the function C(t)--181²+54t where the time, t is hours after injection.²+7+10Part A: What is the domain of the function C(t) based on the context of the problem? Show all necessary calculations.Part B: Graph the function to determine the greatest concentration of the medication that a patient will have in their body.-)

Answered: Image /qna-images/answer/fceb7ff3-a51e-49f0-94ec-0f52f7096c88.jpg

Answered: Many doctors rely on the use of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Apply the properties of functions to correctly determine and interpret the break-even point in the following situations, using valid mathematical procedures and correct mathematical notation. Express your answer in terms of the context of the problem. The total monthly income of a nursery school for caring for x children is given by r = 500x, and its total monthly costs are c = 280x + 2500. How many children need to enroll monthly to break even? In other words, when do revenues equal costs?
The worldwide sales in millions of hand-held PCs can be modeled by the function P(x) 1.85(x 1998) + 4 where x is the year. Use the function to determine the year when sales reach $25 million.
The amount of garbage, G produced by a city with population p is given by G = f(p). G is measured in tons per week, and p is measured in thousands of people. The town of Tola has a population of 50,000 and produces 9 tons of garbage each week. Express this information in terms of the function f O f(9) = 50 O f(50) = 9 Of = 9/50 Get help: Video MacBook Pro Ce GSearch or type URL く @ %23 2$ & 2 3 4 5 6 8 delete Q E Y P A D H. %3D G J. L く C V .. .- V
Children in Preschool and Kindergarten :: Based on data provide by the Census Bureau, the number of American children age 3 to 5 years enrolled in preprimary school (preschool and kindergarten) can be modeled by the function p(y) = 121.46y + 5231.31, where p represents the number of children enrolled (in thousands) and y is the number of years since 1980. Evaluate p(27). Explain what the numerical answer represents in its real-world context.
The yearly profit, "P" of your store can be estimated by the function P(n)=15n-45,000 where "n" is the number of items you sell per year, and P is measured in dollars. A) what is your estimated profit if you sell 5,280 items this year? B) Estimate the number of items you must sell to make $150,000 profit? C) Estimate the number of items you must sell to break even ($0 profit)
The population of bees at the Cincinatti Zoo is modeled using the function below: "w" represents the number of weeks that have passed since the colony was set up. "b" represents the number of bees in thousands that live in the colony. b(w) = 4w² + 5w + 100 How many weeks will it take for the population of bees to reach 225 000? Paragraph BI U✓ A + v ... X 11.

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