The radioisotope of the fictional unobtainium (Uob) decays such that the amount left (x) at time (t) is given by the following equation: x = ze-^t where z = the amount of Uob at t = 0, and is a constant. Determine the rate of decay of Uob and explain what it is proportional to.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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The radioisotope of the fictional unobtainium (Uob) decays such that the amount left (x) at
time (t) is given by the following equation:
x = ze-λt
where z = the amount of Uob at t = 0, and is a constant.
Determine the rate of decay of Uob and explain what it is proportional to.
Transcribed Image Text:The radioisotope of the fictional unobtainium (Uob) decays such that the amount left (x) at time (t) is given by the following equation: x = ze-λt where z = the amount of Uob at t = 0, and is a constant. Determine the rate of decay of Uob and explain what it is proportional to.
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can you expain why the rate of decay is -dy/dt. how come?

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