Elimination of ethanol from the blood is known to have zeroth order kinetics. Provided no more ethanol enters the blood, the concentration of ethanol in a person's blood will therefore obey dM the differential equation - = - kn, where for a certain adult k =0.186 g/liter/hr. Complete parts (a) through (c) below. dt

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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Elimination of ethanol from the blood is known to have zeroth order kinetics. Provided no more ethanol enters the blood, the concentration of ethanol in a person's blood will therefore obey
dM
the differential equation
= - ko, where for a certain adult ko =0.186 g/liter/hr. Complete parts (a) through (c) below.
dt
dM
(a) Explain why M(t) can only obey the above differential equation if M> 0 (once M drops to 0, it is usual to assume
= 0). Choose the correct answer below.
dt
O A. The differential equation is positive and at M(t) = 0 there is no ethanol left in the body.
O B. M(t) = 0 does not exist.
OC. The differential equation is negative and at M(t) = 0 there is no ethanol left in the body.
O D. The differential equation becomes undefined at M(t) = 0.
Transcribed Image Text:Elimination of ethanol from the blood is known to have zeroth order kinetics. Provided no more ethanol enters the blood, the concentration of ethanol in a person's blood will therefore obey dM the differential equation = - ko, where for a certain adult ko =0.186 g/liter/hr. Complete parts (a) through (c) below. dt dM (a) Explain why M(t) can only obey the above differential equation if M> 0 (once M drops to 0, it is usual to assume = 0). Choose the correct answer below. dt O A. The differential equation is positive and at M(t) = 0 there is no ethanol left in the body. O B. M(t) = 0 does not exist. OC. The differential equation is negative and at M(t) = 0 there is no ethanol left in the body. O D. The differential equation becomes undefined at M(t) = 0.
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