The concentration of a drug in an organ at any time t (in seconds) is given byx(t) = 0.08 + 0.16(1 − e−0.02t)where x(t) is measured in milligrams per cubic centimeter (mg/cm3).(a) What is the initial concentration of the drug in the organ? mg/cm3(b) What is the concentration of the drug in the organ after 20 sec? (Round your answer to four decimal places.) mg/cm3

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Answered: The concentration of a drug in an organ…

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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Empirical evidence suggests that the volume V (measured in liters) of a kangaroo's pouch depends on its body weight W (measured in kilograms) according to the formula dV 0.2 dW A'reasonable model for the weight of a kangaroo depending on its height H (measured in m) is W 20 H? Suppose that over the course of 4 years, a kangaroo has grown at a constant rate from 1 m to 2 m. Determine the rate of change of the volume of its pouch with respect to time (measured in liters per year) when its height was 1.3 m. Note: You may round your answer. Please specify at least 3 digits behind the decimal place. So your solution should be accurate up to ±0.001. Answer: liters/year
The concentration C (in ng/ml) of a certain medication in the bloodstream is given by C(t) = 16te-0.8t where t is measured in hours since the initial dose was administered. (a) How long does it take for the medication to reach its peak concentration? Remember to fully justify and include units in your answer. (b) What is the peak concentration to two decimal places? Remember to fully justify and include units in your answer. (c) If the minimum effective concentration is 6 ng/ml, use your graphing calculator to determine how long it takes after the medication is initially administered for it to cease being effective. You may round your answer to the nearest integer. Remember to fully justify and include units in your answer.
h (t) =7 ln (t)+10, where t=age of trees in years and h(t)=height of tree in feet a) Using the model, at age 4 years, how tall is is this type of of ornamental cherry tree, to the nearest tenth of a foot? b) At age 20 years, how tall is this type of ornamental cherry tree, to the nearest tenth of a foot?

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