Lesson #76 Applied Maximum Minimum Problems
-- Cat Food Can Problem

Quote of the Day:
"The only way to learn mathematics is to do mathematics. That tenet is 
      the foundation of the do-it-yourself, Socratic, or Texas method, ..."
          -- Paul Halmos

Objectives:
The student will learn to solve applied maximum minimum problems.

1. Collect homework.  Go over some of the Applied Max/Min 
   Problems.

2. Example #1
        Discuss the Cat Food Can Problem (Tin Can Problem).
        Letter from Carnation.
        Read letter from M&M's.
   
3. Example #2

   Determine the largest cone that will fit in a sphere of 
   radius 6 centimeters.

   Solution:
     Draw a diagram:
       
       
        Click here for Poem about Einstein and Sphere and Cone

4. Example #3
 
   A woman in a rowboat at P, 5 miles from A -- the nearest
   point on shore, wishes to reach B, which is 6 miles from 
   point A in the shortest time. Where should she come 
   ashore if she can row 2 mi/hr and walk 4 mi/hr?
       
Solution:
   Since Time = Distance / Velocity
       
5. "Do Dogs Know Calculus?" (Same type of problem)
6. Assignment:
   p. 318 (9, 11, 58a, 59, 66) 
       

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