Dating Rocks Geologists sometimes measure the age of rocks by using "atomic clocks." By measuring the amounts of potassium-40 and argon-40 in a rock, the age t of the specimen (in years) is found with the formula In[1 + 8.33(A/K)] In 2 t = (1.26 x 10°) : where A and K, respectively, are the numbers of atoms of argon-40 and potassium-40 in the specimen. (a) How old is a rock in which A = 0 and K > 0? (b) The ratio A/K for a sample of granite from New Hampshire is 0.212. How old is the sample? (c) Let A/K = r. What happens to t as r gets larger? Smaller?
Dating Rocks Geologists sometimes measure the age of rocks by using "atomic clocks." By measuring the amounts of potassium-40 and argon-40 in a rock, the age t of the specimen (in years) is found with the formula In[1 + 8.33(A/K)] In 2 t = (1.26 x 10°) : where A and K, respectively, are the numbers of atoms of argon-40 and potassium-40 in the specimen. (a) How old is a rock in which A = 0 and K > 0? (b) The ratio A/K for a sample of granite from New Hampshire is 0.212. How old is the sample? (c) Let A/K = r. What happens to t as r gets larger? Smaller?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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![Dating Rocks Geologists sometimes measure the age of
rocks by using "atomic clocks." By measuring the amounts of
potassium-40 and argon-40 in a rock, the age t of the specimen
(in years) is found with the formula
In[1 + 8.33(A/K)]
In 2
t = (1.26 x 10°) :
where A and K, respectively, are the numbers of atoms of
argon-40 and potassium-40 in the specimen.
(a) How old is a rock in which A = 0 and K > 0?
(b) The ratio A/K for a sample of granite from New Hampshire
is 0.212. How old is the sample?
(c) Let A/K = r. What happens to t as r gets larger? Smaller?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3cdd45a-6897-4b00-ae6e-e37dc21cb7e5%2Fadf8e195-4f2e-481a-bb0e-725e1e1c2295%2F3egarcq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Dating Rocks Geologists sometimes measure the age of
rocks by using "atomic clocks." By measuring the amounts of
potassium-40 and argon-40 in a rock, the age t of the specimen
(in years) is found with the formula
In[1 + 8.33(A/K)]
In 2
t = (1.26 x 10°) :
where A and K, respectively, are the numbers of atoms of
argon-40 and potassium-40 in the specimen.
(a) How old is a rock in which A = 0 and K > 0?
(b) The ratio A/K for a sample of granite from New Hampshire
is 0.212. How old is the sample?
(c) Let A/K = r. What happens to t as r gets larger? Smaller?
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