A) Potassium-40 (K(t)) is a funny little isotope. It decays ra- dioactively with rate constant A₁ to Calcium-40 (C(t)) by emitting beta particles, and it also decays with rate constant λ₂ to Argon-40 (A(t)) via electron capture. Fill in the right hand sides below with the appropriate differential equation model for this: K'(t) = C'(t) = A' (t) =

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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A) Potassium-40 (K(t)) is a funny little isotope. It decays ra-
dioactively with rate constant X₁ to Calcium-40 (C(t)) by emitting beta
particles, and it also decays with rate constant λ₂ to Argon-40 (A(t)) via
electron capture. Fill in the right hand sides below with the appropriate
differential equation model for this:
K'(t) =
C'(t) =
A'(t) =
Transcribed Image Text:A) Potassium-40 (K(t)) is a funny little isotope. It decays ra- dioactively with rate constant X₁ to Calcium-40 (C(t)) by emitting beta particles, and it also decays with rate constant λ₂ to Argon-40 (A(t)) via electron capture. Fill in the right hand sides below with the appropriate differential equation model for this: K'(t) = C'(t) = A'(t) =
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