MATH 133 -- Problem Set 8 grading instructions:

Section 3.5/4,8,12,16,23,45; 
Section 3.6/2,4,6,10,16,28,30,43,58; 
Section 3.7/12,21; 
Section 4.1/10,14,18,19,20,38,42,46


Section 3.5:

 4, 8, 12, 16, 23 -- 2 points each (give 1 part credit for ``near misses'')
 
 45 -- 6 points: 2 for part a and 2 for each graph in part b
 
Section 3.6:

 2, 4, 6, 10, 16, 28, 30 -- 2 points each
 
 43 -- 6 points 2 each part
 
 58 -- 8 points: 2 for each part
 
Section 3.7:

 12 -- 2 points
 21 -- 3 points (2 for dy/dx, 2 for slope of tangent)
 
Section 4.1:

 10, 14 -- 6 points each (2 for graph, 2 for derivative, 2 for 
                          applying 1st derivative test) 
                          
 18, 19, 20 -- 2 points each (please give detailed explanations
               why you take off points on these)
               
 38 -- 3 points
 
 42 -- 4 points (any graph showing a critical point at x1 that is
                 neither max nor min and also an inflection point,
                 another inflection at x2 and a local max at x3 is OK;
                 the graph should not have any OTHER critical points
                 or inflection points though. Take off 1 if they 
                 give "extras" and explain)
 
 46 -- 10 points: part a 4, part b 1, part c 1, part d 1, part e 1, part f 2
 
Total:  78 points