0. In 1986 the Chernobyl nuclear disaster in the Soviet Union contaminated the atmosphere. The buildup of radioactive material in the atmosphere satisfies the differential equation d M M =r dt - - where M =mass of radioactive material in the at- mosphere after time (in years); k is the rate at which the radioactive material is introduced into the atmo- sphere;r is the annual decay rate of the radioactive material. Find the solution, M(t), of this differential equation in terms of k and r.

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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ness who sa
her alibi help?
39. A cup of coffee at a cafe is served at 95°C and left
on the counter. The cafe is air-conditioned with an
ambient temperature of 20°C. After five minutes,
the coffee's temperature is 45°C. Determine how
long before the coffee loses its taste quality; that is, it
cools down to the temperature of 22° C.
40. In 1986 the Chernobyl nuclear disaster in the Soviet
Union contaminated the atmosphere. The buildup
of radioactive material in the atmosphere satisfies
the differential equation
dM
k.
dt
(w-)-
where M
= mass of radioactive material in the at-
mosphere after time (in years); k is the rate at which
the radioactive material is introduced into the atmo-
sphere; r is the annual decay rate of the radioactive
material. Find the solution, M(t), of this differential
equation in terms of k and r.
E1. The von Bertalanffy curve was used to examine
growth patterns in both body length and mass of
female and male polar bears (Ursus maritimus) cap-
tured live near Svalbard, Norway (see Figure 6.20).
Transcribed Image Text:ness who sa her alibi help? 39. A cup of coffee at a cafe is served at 95°C and left on the counter. The cafe is air-conditioned with an ambient temperature of 20°C. After five minutes, the coffee's temperature is 45°C. Determine how long before the coffee loses its taste quality; that is, it cools down to the temperature of 22° C. 40. In 1986 the Chernobyl nuclear disaster in the Soviet Union contaminated the atmosphere. The buildup of radioactive material in the atmosphere satisfies the differential equation dM k. dt (w-)- where M = mass of radioactive material in the at- mosphere after time (in years); k is the rate at which the radioactive material is introduced into the atmo- sphere; r is the annual decay rate of the radioactive material. Find the solution, M(t), of this differential equation in terms of k and r. E1. The von Bertalanffy curve was used to examine growth patterns in both body length and mass of female and male polar bears (Ursus maritimus) cap- tured live near Svalbard, Norway (see Figure 6.20).
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