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This exercise uses the radioactive decay model. The half-life of cesium-137 is 30 years. Suppose we have a 14-g sample. (a) Find a function m(t) = mo2-t/h that models the mass remaining after t years. m(t) = (b) Find a function m(t) = moe¯rt that models the mass remaining aftert years. (Round your r value to four decimal places.) m(t) = (c) How much of the sample will remain after 74 years? (Round your answer to one decimal place.) g

This exercise uses the radioactive decay model. The half-life of cesium-137 is 30 years. Suppose we have a 14-g sample. (a) Find a function m(t) = mo2-t/h that models the mass remaining after t years. m(t) = (b) Find a function m(t) = moe¯rt that models the mass remaining aftert years. (Round your r value to four decimal places.) m(t) = (c) How much of the sample will remain after 74 years? (Round your answer to one decimal place.) g

Advanced Engineering Mathematics
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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This exercise uses the radioactive decay model. The half-life of cesium-137 is 30 years. Suppose we have a 14-g sample. (a) Find a function m(t) = mo2-t/h that models the mass remaining after t years. m(t) = (b) Find a function m(t) = mọe¯rt that models the mass remaining after t years. (Round your r value to four decimal places.) m(t) = (c) How much of the sample will remain after 74 years? (Round your answer to one decimal place.) g (d) After how many years will only 2 g of the sample remain? (Round your answer to the nearest whole number.) yr
Transcribed Image Text:This exercise uses the radioactive decay model. The half-life of cesium-137 is 30 years. Suppose we have a 14-g sample. (a) Find a function m(t) = mo2-t/h that models the mass remaining after t years. m(t) = (b) Find a function m(t) = mọe¯rt that models the mass remaining after t years. (Round your r value to four decimal places.) m(t) = (c) How much of the sample will remain after 74 years? (Round your answer to one decimal place.) g (d) After how many years will only 2 g of the sample remain? (Round your answer to the nearest whole number.) yr
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