MATH 133 -- Problem Set 3 grading instructions:

1.5/13 -- 4 points (1 for a,b, 2 for c)
                  
    15 -- 2 points (1 for amplitude, 1 for period)
                         
    20 -- 4 points (4 points, 1 for cos, 1 for A = 5, 1 for B=1/3, 1 for C = 0
                    in general formula)
     
    26 -- 4 points (grade like 20) 
   
    37 -- 4 points (2 for coordinates of pair of points, 2 for slope;
                    if they only say 2/pi or -2/pi, point out that 
                    both cases are possible)
   
    44 -- 4 points (grade like 20)
   
    46 -- 4 points (2 for x = h/tan(theta) as in solution, 2 for 
                    area of trapezoid cross-section -- OK if they
                    split into rectangle and two triangles, or
                    if they use area formula for trapezoid)
                   
1.6/5 -- 10 points (1 for a,b for each of the 5 graphs)

    8 -- 4 points (should say something like y = k(x+3)x(x-4) for k < 0;
                   3 for intercepts at roots, 1 for k)
   
   10 -- 4 points (3 for roots, including double root at x = 2:
                   k(x+2)(x-2)^2(x-5), 1 for k < 0)
                    
   11 -- 8 points (2 for each graph)
   
   14 -- 10 points (2 for each part take off 1 if they have 
                    some correct some wrong on any one part) 
    
   22 -- 6 points (one for each part of a; 3 for b)
   
   23 -- 6 points (1 each for correct identifications, 1 for reason --
                   don't give full credit without some justification given) 
                   
   29 -- 4 points (1 for each of a,b,c,d)
   
Total = 78 points