When a drug is administered orally it takes some time before the blood concentration reaches its maximum level. After that time, concentration levels decrease. When 500 milligrams of procainamide isadministered orally, one model for a particular patient gives blood concentration C, in milligrams per liter, after t hours asC = 2.65(e-09-e-⁹).What is the maximum blood-level concentration, and when does that level occur? (Round your answers to two decimal places.)maximum1.49concentrationx mg/L0.12xhrtime

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Answered: When a drug is administered orally it…

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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Medical studies of obesity use the Body Mass Index (BMI), which is defined by w BMI = where w is weight in kilograms and h is height in meters. (a) Using the fact that 1 kg = 2.2 lb and 1 meter = 39.4", calculate the BMI of a 5'5" woman who weighs 150 lb. (b) Which has more effect on the BMI: a 10% weight increase or a 10% height decrease? Justify your answer.
Determine whether the following scenarios are linear or exponential. As summer approaches, I noticed that for every increase in 5 degrees, the number of people I see at the pool increases by about 3. The amount of Francium,a radioactive element, decays by about 3.1% every minute. The number of flu cases increases by about 1.6% per month during flu season. Based on Mrs. Olivet's Test 4 results, students tended to score about 4 more points on their test for every hour they studied. The percentage of the population that has been vaccinated for COVID-19 increased by about 0.25 percentage points every day in January. The population of bugs in Monica's walls decreased by 80% every week while the exterminator was treating her home. During a rainstorm the reading from the rain gauge increased by a quarter inch every hour. Selene didn't want her parents to notice she was stealing candy from the jar, so every day she only ate 1/8 of what was left. While writing an essay, Carson writes 7…
A bacteria culture had a population of 13 million at 10:00 am and by 2:00 pm had grown to 21 million. Predict the population at 6:00 pm that same day.
The table shows the yield (in bushels per acre) and the total production (in millions of bushels) for com in a country for selected years since 1950. Let x represent years since 1900. Find a logarithmic regression model (y= a + b In x) for the yield. Estimate the yield in 2020. The regression model is y=+nx. (Round to one decimal place as needed.) The estimated yield in 2020 is bushels/acre. (Round to the nearest integer) Year 1950 1940 1970 1980 1990 2000 2010 *8828889 50 60 70 90 100 110 Yield 37 51 82 98 117 134 153
The table below is a record of the number of miles driven between stops for gas and the amount of money spent to fill up the gas tank in Audrey’s car over several months. Audrey’s Gas Fill Up LogMiles Driven, x 313 320 341 320 294 348 302Cost to Fill up ($), y 24.80 24.96 25.83 25.17 22.44 27.51 23.93 Step 2 of 2 : If Audrey needs to drive 319 miles home from college and leaves with a full tank, how much should she budget to fill up when she gets home? Assume the regression equation is appropriate for prediction. Round your answer to the nearest cent.
What if the model is a conditional logistic model? Will the answer be anything different? Thank you.
Pesticide danger: One of the factors that determines the degree of risk a pesticide poses to human health is the rate at which a pesticide is absorbed into skin after contact. An important question is whether the amount in the skin continues to increase with the length of the contact, or whether it increases for only a short time before leveling off. To investigate this, measured amounts of a certain pesticide were applied to 20 samples of rat skin. Four skins were analyzed at each of the time intervals 1, 2, 4, 10, and 24 hours. The amounts of the chemical (in micrograms) that were in the skin are given in the following table. Duration Amounts Absorbed 1 1.5 2.7 1.6 1.6 2 1.7 1.7 2.4 2.3 4 1.4 2.1 1.6 1.2 10 2.4 1.2 2.1 2.6 24 2.2 1.8 1.7 1.3 Send data to Excel Part: 0 / 2 Part 1 of 2 (a) Construct an ANOVA table. Round your answers to four decimal places. One-way ANOVA: Pesticide Amount Source DF SS MS F Duration Error Total
Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. The Hill of Tara is a very important archaeological site in Ireland. It is by legend the seat of Ireland's ancient high kings†. Independent random samples from two regions in Tara gave the following phosphorous measurements (ppm). Assume the population distributions of phosphorous are mound-shaped and symmetric for these two regions. Region I: x1; n1 = 12 540 810 790 790 340 800 890 860 820 640 970 720 Region II: x2; n2 = 16 750 870 700 810 965 350 895 850 635 955 710 890 520 650 280 993 (a) Use a calculator with mean and standard deviation keys…
Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. The Hill of Tara is a very important archaeological site in Ireland. It is by legend the seat of Ireland's ancient high kings†. Independent random samples from two regions in Tara gave the following phosphorous measurements (ppm). Assume the population distributions of phosphorous are mound-shaped and symmetric for these two regions. Region I: x1; n1 = 12 540 810 790 790 340 800 890 860 820 640 970 720 Region II: x2; n2 = 16 750 870 700 810 965 350 895 850 635 955 710 890 520 650 280 993 (a) Use a calculator with mean and standard deviation keys…

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