An isotope of the element erbium has a half-life of approximately 9 hours. Initially there are 21 grams of the isotope present. a. Write the exponential function that relates the amount of substance remaining, A(t) measured in grams, as a function of t, measured in hours. A(t) = grams %3D b. Use part a. to determine the rate at which the substance is decaying after t hours. A'(t) = grams per hour %3D c. Use part b. to determine the rate of decay at 14 hours. Round to four decimal places. A'(14) = grams per hour %3D
An isotope of the element erbium has a half-life of approximately 9 hours. Initially there are 21 grams of the isotope present. a. Write the exponential function that relates the amount of substance remaining, A(t) measured in grams, as a function of t, measured in hours. A(t) = grams %3D b. Use part a. to determine the rate at which the substance is decaying after t hours. A'(t) = grams per hour %3D c. Use part b. to determine the rate of decay at 14 hours. Round to four decimal places. A'(14) = grams per hour %3D
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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