Math 128
ASSIGNMENT 5
Winter 2010
Submit all problems by
8:20 am
on
Wednesday, February 24
th
in the drop boxes across
from MC4066, or in class depending on your instructor’s preference.
All solutions must be
clearly stated
and
fully justified
.
Comment: This assignment is longer than usual. It is strongly recommended that you start
working on it early.
From the text:
•
9.1 # 14.
•
9.2 # 2, 36.
•
9.3 # 4, 16.
•
9.5 # 14, 6, 18.
•
9.4 # 8.
Nontext problems:
1.
Mixing Problem.
Mixing Problem.
A tank contains 200 litres of water in which 300 grams of salt is
dissolved. Brine containing 1 gram of salt per litre is then pumped into the tank at
a rate of 4 litres per minute; the wellmixed solution is pumped out at the same rate.
Find the mass
m
(
t
) (in grams) of salt in the tank at time
t
.
2.
Radiocarbon Dating Problem.
An important tool in archelogical research is ra
diocarbon dating. This is a means of determining the age of certain wood and plant
remains, hence of animal or human bones or artifacts found buried at the same levels.
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 Winter '10
 Zuberman
 Math, Calculus, Radioactive Decay, HalfLife, Radiocarbon dating, Carbon14, Isotope, Willard Libby

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