The radioactive properties of the isotope technetium-99m can be used in combination with a tin compound to map circulatory disorders. Technetium-99m has a half-life of 6 hours. Write an exponential decay function that models this situation. The function p(t) should give the percent of the isotope remaining after t hours. a) a). b) Describe domain, range and the end behavior of p(t) as t increases without bound for the function found in part a. b). Write the inverse of the decay function. Use a common logarithm f c) pur final function.
The radioactive properties of the isotope technetium-99m can be used in combination with a tin compound to map circulatory disorders. Technetium-99m has a half-life of 6 hours. Write an exponential decay function that models this situation. The function p(t) should give the percent of the isotope remaining after t hours. a) a). b) Describe domain, range and the end behavior of p(t) as t increases without bound for the function found in part a. b). Write the inverse of the decay function. Use a common logarithm f c) pur final function.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The radioactive properties of the isotope technetium-99m can be used in
combination with a tin compound to map circulatory disorders. Technetium-99m
has a half-life of 6 hours.
Write an exponential decay function that models this situation. The
function p(t) should give the percent of the isotope remaining after t hours.
a)
a)
b)
Describe domain, range and the end behavior of p(t) as t increases
without bound for the function found in part a.
b)_
c)
Write the inverse of the decay function. Use a common logarithm for
your final function.
c)_
d)
How long does it take until 5% of the isotope technetium-99m
remains? Round to the nearest tenth of the hour.
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