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Leaking Tank and Sleeping Elephant.notebook
January 14, 2016
AP Calculus ABII for Thursday 1/14/16
1) hand in stuff; get back stuff
2) handout on Leaking Tank and
Sleeping Elephant and Salt Problems
and do the notes
3) Assign #76 worksheets
i) Leaking Tank
ii) Salt Problem #1
Leaking Tank and Sleeping Elephant.notebook
The rate at which water flows is directly proportional to the square root of the amount
remaining in the tub/tank. Initially, a tub/tank contains 180 cubic feet of water and is draining
out at the rate of 10 cubic feet per minute. Find
the differential equation, the general solution, and
the particular solution. When will the tub be empty? Graph stuff.
January 14, 2016
Leaking Tank and Sleeping Elephant.notebook
January 14, 2016
Leaking Tank and Sleeping Elephant.notebook
January 14, 2016
Leaking Tank and Sleeping Elephant.notebook
January 14, 2016
Leaking Tank and Sleeping Elephant.notebook
January 14, 2016
Leaking Tank and Sleeping Elephant.notebook
January 14, 2016
Leaking Tank and Sleeping Elephant.notebook
January 14, 2016
The Elephant Problem:
Wildlife bioligists use ketamine to anesthetize animals.
Suppose that the anesthetize an elephant, about
2.4 mg are required for each 50 pounds of body weight. If the drug is eliminated from the bloodstream {as exponential decay}
and half is eliminated in 30 minutes, approximate
the single dose that will anesthetize a 3 ton elephant
for an hour and a half.
Leaking Tank and Sleeping Elephant.notebook
January 14, 2016
Leaking Tank and Sleeping Elephant.notebook
January 14, 2016
Leaking Tank and Sleeping Elephant.notebook
January 14, 2016
The Salt Problem
The rate at which salt dissolves in water is
directly proportional to the amount that is
undissolved. If 24 gms are placed in a container of water, and 7 gms dissolves in 15 minutes,
then how much longer will it take 5 more gms
to dissolve?
Leaking Tank and Sleeping Elephant.notebook
January 14, 2016
Leaking Tank and Sleeping Elephant.notebook
January 14, 2016
