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)