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 #1Discuss 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. 348 (9, 11, 56a, 57, 62) |