A radionctive substance follows the decay equation A = kA. If 20% of the substance disappears in 9 years, whaut is its half-life t (in years)? (Use symbolic notation and fractions where needed.) years

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 substance follows the decay equation 4 = kA. If 20% of the substance disappears in 9 years, what is its half-life t
(in years)?
(Use symbolic notation and fractions where needed.)
years
The population of a suburb grows at a rate proportional to the population. Suppose the population doubles in size from 3000 to
6000 in a 6-month period and continues at the current rate of growth.
Find the particular solution to the differential equaution with the initial condition P(0) = 3000.
(Use symbolie notation and fractions where needed.)
P)=
What will the expected population be in 2 years [ = 24]?
(Use symbolie notation and fractions where needed.)
P(24) =
At any time r in hours, the rate of increase in the area, in millimeters squared, of a culture of bacteria is twice the area A of the
culture. Find the particular solution to the differential equation if A = 13 when i = 4.
(Use symbolic notation and fractions where needed.)
A(() =
Transcribed Image Text:A radioactive substance follows the decay equation 4 = kA. If 20% of the substance disappears in 9 years, what is its half-life t (in years)? (Use symbolic notation and fractions where needed.) years The population of a suburb grows at a rate proportional to the population. Suppose the population doubles in size from 3000 to 6000 in a 6-month period and continues at the current rate of growth. Find the particular solution to the differential equaution with the initial condition P(0) = 3000. (Use symbolie notation and fractions where needed.) P)= What will the expected population be in 2 years [ = 24]? (Use symbolie notation and fractions where needed.) P(24) = At any time r in hours, the rate of increase in the area, in millimeters squared, of a culture of bacteria is twice the area A of the culture. Find the particular solution to the differential equation if A = 13 when i = 4. (Use symbolic notation and fractions where needed.) A(() =
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