Explanation Given information: Dinosaur fossils has a longer half-life approximately 1.25 billion years and the least detectable amount is 0.1% and a dinosaur is dated with 40 K to be 68 million years old. Calculation: We know the half-life of 40 K = 1.25 × 10 9 years. Let R ( t ) be the radioactivity of 40 K that remains after t years. Then d R d t = k R and R ( 0 ) = r , so (2) gives R ( t ) = R ( 0 ) e k t In order to find the value of k we use the fact R ( 1

15th Edition

ISBN: 9781305177291

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Question

Chapter 3.6, Problem 12E

To determine

the maximum age of a fossil that we could date using 40K .

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Chapter 3 Solutions

Biocalculus: Calculus For Life Sciences

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

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the maximum age of a fossil that we could date using 40K .

Chapter 3 Solutions