A radioactive isotope decays over time at a rate proportional to the amount of the material at a given time. A(t) is the amount of material. At t = 0 there is 100 kg and time t = 4 there is 60 kg. Write the particular solution to the differential equation which will describe the amount of isotope after time t.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A radioactive isotope decays over time at a rate proportional to the amount of the
material at a given time. A(t) is the amount of material. At t = 0 there is 100 kg and
time t = 4 there is 60 kg. Write the particular solution to the differential equation
which will describe the amount of isotope after time t.
Transcribed Image Text:A radioactive isotope decays over time at a rate proportional to the amount of the material at a given time. A(t) is the amount of material. At t = 0 there is 100 kg and time t = 4 there is 60 kg. Write the particular solution to the differential equation which will describe the amount of isotope after time t.
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