What I Can DoApplicationThere are many ways of applying rational functions in our lives. Examples of theseare: average cost, medical dosage, average grade problem, cost of living, andeconomic production of goods. An example of its application can be seen below.Field of Application: Medical DosageSituation analysis: After a drug is injected into a patient's bloodstream, theconcentration C of the drug in the bloodstream t hours after the injection is given by12tC(t)t2+5Use the given formula to find the concentration of the drug after 1-4 hours.12(0)Data manipulation: when t-0,C(0)= 002+5

Given: The concentration of drugs, C(t)=12tt2+5where C is the concentration of the drug in the…

Answered: Field of Application: Medical Dosage…

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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b. Water that is initially contaminated with a concentration of 9 milligrams of pollutant per liter of water is subjected to a cleaning process. The cleaning process is able to reduce the pollutant concentration by 25% every 2 hours. Let C(t) = 9 be the concentration, in milligrams of pollutant per liter of water t hours after the purification process begins. Find the concentration of pollutant in the water after 5 hours. Please round your answer to two decimal places. A) 2.14 mg/1 B) 4.38 mg/l C) 0.0088 mg/l D) 0.28 mg/l
t (min) 5 10 15 L(t) (people per min) 150 110 40 20 2. On a certain day, 2000 students were present at Southside High School. At the end of this school day, when the bell rang at 3:00 PM, students left Southside High School the school at a rate of L(t), where t is the number of minutes since the bell rang. Selected values of L(t) are shown in the table above. Using a left Riemann sum with subintervals as indicated in the table, approximate the number of students still inside Southside High School in the 15 minutes after the bell rang. (A) 400 (B) 500 (C) 1150 (D) 1700
Concentration (21 credits) wwering At-Risk Youth 1,2021 7 Mte +l68-16 - MARCH 1, 2021 7 Mte
China's population in 1980 was 983 million; in 1990, it was 1,154 million. (a) Develop the mathematical model that represents China's population. (Write your model in terms of t, where t is the number of years after 1980. Let p represent China's population in millions. Round the coefficient of t to seven decimal places.) p(t) = ? (b) The following model represents Africa's population in millions, where t is the number of years after 1990. p(t) = 643e0.0210939t Use this and the model in part (a) to predict when Africa's population will exceed China's. (Round your answer to the nearest year.) Africa's population will have exceeded China's in the year _?__.
Japanese Economy The percent change y in theJapanese gross domestic product (GDP) for yearssince 1997 is given by y = 0.0041x4 - 0.222x3 +4.287x2 - 34.8398x + 101.33417, where x is thenumber of years after 1990.a. Use graphical or numerical methods with thismodel to find the year before 1999 when thechange in the GDP was approximately 1.3 percentage points.b. According to this model, would the change in theGDP ever be 1.3% again?
100% (3) An off-shore oil rig is experiencing a significant leak that is form- ing an expanding circular oil slick. When the slick is first dis- covered (at t = 0) it had a 20m radius. If the radius is given by the equationr= 20+ 10t (where t is measured in hours and r is in meters), find a formula for the area of the slick. What is the area of the oil slick when =12 7
Estimating salinity Salinity of the ocean refers to the amount of dissolved material found in a sample of seawater. Salinity S can be estimated from the amount C of chlorine in seawater using S = 0.03 + 1.805C, where S and C are measured by weight in parts per thousand. Approximate C if S is 0.35.
Explain the determine purple
Pls explain the concept. Also, the excel formula used for obtaining the required value of z.
Super Bowl Ads A minute ad during Super BowlVII in 1973 cost $200,000. The price tag for a30-second ad slot during the 2011 Super Bowlwas $3 million. The cost of a 30-second slot ofadvertising for the Super Bowl can be modeled byy = 0.0000966(1.101x ), where x is the number ofyears after 1900 and y is the cost in millions.a. According to the model, what was the cost of a30-second Super Bowl ad in 2000?b. The cost of a 30-second ad during Super Bowl XLIXin 2015 was $4.5 million. Does the model underestimate or overestimate the cost of these ads?

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