a). A drug in the blood stream decays by according to the equation y'=ky,where y is the concentration of the drug in the bloodstream. If the half-lifeof the drug is 4 hours, what fraction of the drug remains after 6 hours ?

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Answered: a). A drug in the blood stream decays…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there are100 milligrams of the material present and if after two years it is observed that 5 percent of the original mass has decayed, find (a) an expression for the mass at any time t and (b) the time necessary for 10 percent of the original mass to have decayed.
A sample of a radioactive substance has an initial mass of 761.7 mg. This substance follows a continuous exponential decay model and has a half-life of 9 days. (a) Lett be the time (in days) since the start of the experiment, and let y be the amount of the substance at time t. ASC Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. y = 0 e t (b) How much will be present in 5 days? Do not round any intermediate computations, and round your answer to the nearest tenth. mg F2 F3 DII F4 20 F5 F6 010 X F7 In ♫ S F8 F9 prt sc F10 home F11 end F12 insert Submit Assignment + Espai ? 11 delete

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a). A drug in the blood stream decays by according to the equation y'=ky, where y is the concentration of the drug in the bloodstream. If the half-life of the drug is 4 hours, what fraction of the drug remains after 6 hours ?