QU 5a). 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?b). Using gamma function, evaluateso x e-2x dxc). Shrinks have discovered that there is a limit to the number ofmeaningless words that a person can learn, no matter how much studytime is available, and that the rate of learning is proportional to the numberof words not yet learnt. If this limit is 200 words, then the rate of learningsatisfies the differential equationdW= k(200 – W)dtwhere k is a constant and W(t) is the number of words mastered in thefirst t minutesi). Explain why k is positiveii). Determine the solution to differential equation

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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?

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?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 67E

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Question

QU 5
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?
b). Using gamma function, evaluate
so x e-2x dx
c). Shrinks have discovered that there is a limit to the number of
meaningless words that a person can learn, no matter how much study
time is available, and that the rate of learning is proportional to the number
of words not yet learnt. If this limit is 200 words, then the rate of learning
satisfies the differential equation
dW
= k(200 – W)
dt
where k is a constant and W(t) is the number of words mastered in the
first t minutes
i). Explain why k is positive
ii). Determine the solution to differential equation

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