18. Radioactive Cesium The half-life of cesium-137 is 30 years. Suppose we have a 10-g sample. (a) Find a function m(t) = mo2th that models the mass remaining after t years. (b) Find a function m(1) = moe" that models the mass remaining after 1 years. (c) How much of the sample will remain after 80 years?

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.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.3: Applications: Growth And Decay
Problem 15E
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18. Radioactive Cesium The half-life of cesium-137 is
30 years. Suppose we have a 10-g sample.
(a) Find a function m(t) = mo2-/h that models the mass
remaining after 1 years.
(b) Find a function m(t) = moe" that models the mass
remaining after t years.
(c) How much of the sample will remain after 80 years?
(d) After how many years will only 2 g of the sample
remain?
Transcribed Image Text:18. Radioactive Cesium The half-life of cesium-137 is 30 years. Suppose we have a 10-g sample. (a) Find a function m(t) = mo2-/h that models the mass remaining after 1 years. (b) Find a function m(t) = moe" that models the mass remaining after t years. (c) How much of the sample will remain after 80 years? (d) After how many years will only 2 g of the sample remain?
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