Lesson #83


Quote of the Day:
"Medicine makes people ill, mathematics makes them sad, and 
   theology makes them sinful." -- Martin Luther

Objectives:
The student will review all the applications of the 
   derivative.

1. Collect Homework.

2. Outline of Chapter 5 Test

I. Multiple Choice (1 - 8)
  1. Find the interval where a function is increasing / decreasing 
  2. Find the absolute maxima / minima 
  3. Rolle's Theorem
  4. Mean Value Theorem
  5 - 6. Given the graph of the derivative, find relative maxima, relative minima, points of 
             inflection.
  7. Find interval where a function is concave up / down.
  8. Concepts of Relative extrema and concavity

II. Free Response (9 - 20) 
  9 - 10. Given the equation of a function, determine where it is increasing, decreasing, concave 
              up, concave down, relative extrema, points of inflection.
 11. Sketch a curve given various properties
 12. Sketch a curve given various properties
 13. Sketch a curve given various properties
 14. Find k such that the function has a point of inflection or relative minimum at a given point
 15. Newton's Method
 16. Rectilinear Motion
 17. Applied Max / Min Problem
 18. Applied Max / Min Problem
 19. Applied Max / Min Problem
 20. Mini golf problem

3. Problems for Review:
        Click here for Review Problems on Applied Maxima Minima

4. Assignment: Study for test
Lesson #83 Review for Test on Chapter 5

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