For each problem, there's an approx. marks 
distribution (positive numbers) followed by 
some common mistakes and the penalty (negative
numbers).


Problem 1:

realized f(x)=g(x)		2

h(x) and h'(x)			1

computation of x1 and x2	4

used Newton's formula		3

treated f(x) and g(x) separately: -4

arithmetic and other small errors: -1


Problem 2:

A) wrong integral 	-3
   numerical error	-1

B) correct trapezoid fmla and intervals:	4
   computation of two areas			2

   used only one interval: -3
   numerical and other small errors: -1

C) result	1
   explanation	1

   did't take absolute: -1

D) correct funct. ptr. parameter	3
   funct. has one parameter		1
   trapezoid formula			2
   subinterval division			2
   computation of area			1

   missing parameter function type: -1
   correct trapezoid fmla but only one interval: -4
   fixed expression inside interval loop: -2
   other small errors: -1

Problem 3:

A) correct graph 1, otherwise 0

B) small error: -1

C) different order/list is not queue: -1

D) vertices given by iteration or predecessors are listed 4

   vertices given in order only: -3

E) any answer using the term "connected component"
   correctly received the full 3 marks.

   Answers like "x connected components (with x>2) because 
   they are all connected..." received 0 marks.

F) vertices given in DFS order only: -3
   some errors in act/deact times: -1
   order different than in Part (C): -1

G) small errors: -1