Polonium-210 is a radioactive element with a half-life of140 days. Assume that 10

Chapter 8, Problem 32

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Polonium-210 is a radioactive element with a half-life of 140 days. Assume that 10 milligrams of the element are placed in a lead container and that \(y(t)\)) is the number of milligrams present \(t\) days later.

(a) Find an initial-value problem whose solution is \(y(t)\).

(b) Find a formula for \(y(t)\).

(c) How many milligrams will be present after 10 weeks?

(d) How long will it take for 70% of the original sample to decay?

Equation Transcription:

Text Transcription:

y(t)

t

y(t)

y(t)

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