Lesson #68 Review for Test on Chapter 5



Quote of the Day:
"The mathematician's patterns, like the painter's or 
   poet's, must be beautiful.  The ideas, like the colours 
   or the words, must fit together in a harmonious way.  
   Beauty is the first test: There is no permanent place in 
   the world for ugly mathematics. 
         -- G. H. Hardy

Objectives:
The student will review all concepts related to curve 
   sketching.

1. Collect homework.
2. Click here for Methods for Finding Critical Points
3.  Outline of the test on chapter 5 (No calculators):

	#1 Given a function, determine the derivatives, the
    	   relative extrema, points of inflection, intervals 
           where the function is concave up/down and where 
           it is increasing/decreasing.


	#2-4 Sketch the function which satisfies certain 
             conditions.

	#5-7 Sketch the graphs of given functions, indicating 
             relative max/min points.

	#8 Discussion question about curve sketching.

	#9-10. Problems involving curve sketching 
               (find the value of k…)

4. Review for the test
     Sketch the following function, discussing relative 
     extrema, points of inflection, intervals of concavity 
     and intervals of increasing/decreasing…
       
5. Riddle: 
   Why are huge chrysanthemums like some parabolas? 
   Answer: Because they're both maximums.

6. Assignment
    p. 319 (6) 
    p. 321 (2, 6)
    Study for the Test 

       

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