A piece of charcoal is found to contain 39% of the element B that it originally had. (a) When did the tree from which the charcoal came die? Use 5700 years as the half-life of the element B. (b) Using a graphing utility, graph the relation between the percentage of the element B remaining and time. (c) Using INTERSECT, determine the time that elapses until half of the the element B remains. (d) Verify the answer found in part (a).

A piece of charcoal is found to contain 39% of the element B that it originally had. (a) When did the tree from which the charcoal came die? Use 5700 years as the half-life of the element B. (b) Using a graphing utility, graph the relation between the percentage of the element B remaining and time. (c) Using INTERSECT, determine the time that elapses until half of the the element B remains. (d) Verify the answer found in part (a).

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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Question

A piece of charcoal is found to contain 39% of the element B that it originally had.
(a) When did the tree from which the charcoal came die? Use 5700 years as the half-life of the element B.
(b) Using a graphing utility, graph the relation between the percentage of the element B remaining and time.
(c) Using INTERSECT, determine the time that elapses until half of the the element B remains.
(d) Verify the answer found in part (a).
(a) The tree died years ago.
(Round to the nearest whole number as needed.)
(b) Choose the correct graph below. The graphing window is [0,40000,5000] by [0,1,0.2].
A.
В.
C.
OD.
(c) The time that elapses until half of the element B remains is
years.
(Round to the nearest whole number as needed.)
(d) Is the answer found in part (a) verified?
Yes
No

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