MATH 133 -- Problem Set 9 grading instructions:

Section 4.3/4,6,19,20,35;
Section 4.5/4,14,16,20,22,25,26;

Section 4.3/

 4 -- 6 points:  4 for a, 2 for b
 6 -- 6 points (like 4)
19 -- 4 points (1 for y', 1 for critical point, 1 for value of y at crit point,
                1 for reason it's a maximum)
20 -- 4 points (1 for v', 2 for critical points, 1 for maximum)
35 -- 8 points (2 on each part; don't take off points if they don't notice
                g(2) - g(0) = g(0) - g(-2) from symmetry)
                
Section 4.5

 4 -- 4 points (1 for S', 2 for critical point, 1 for verification 
                it's a minimum -- any correct method OK: check
                values at endpoints, or 1st or 2nd derivative tests)
                
14 -- 12 points (6 for a, 6 for b.  In each part, 2 points for function
                 to be maximized/minimized, then 4 for rest like #4)
                  
16 -- 8 points (2 for a, 2 for b, 4 for c.  Grade part c like #4)

20 -- 6 points (like the parts of 14)

22 -- 6 points (similar)

25 -- 6 points (similar)

26 -- 6 points (similar)

General: be generous with partial credit.  Also, note that there
are alternate ways to set up some of these (e.g. solving for
a different variable in a side relation ... )

Total:  76 points