Consider the matrices:I. 
II. 
III. 
IV. 
V. 
Which of them are stochastic matrices?
A. II and IV only
B. II, III, and IV only
C. all except V
D. all except I
E. none of these
Answer: A
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Use the theorem that relates the sum of degrees to the number of edges to determine the number of edges in the graph.A graph with 5 vertices, one of degree 4, three of degree 3, and one of degree 1.
A. 3 edges B. 4 edges C. 7 edges D. 8 edges
Perform the indicated operation and write the answer in lowest terms. 
A. 
B. 
C. 
D. 
Four players (A, B, C, and D) agree to divide the 14 items shown below by lining them up in order and using the method of markers. The players' bids are as indicated.
Item 6
A. goes to A. B. goes to B. C. goes to C. D. goes to D. E. is left over.
Find the derivative of the function.f(x) = (5x - 3)(4x3 - x2 + 1)
A. f'(x) = 60x3 + 51x2 - 17x + 5 B. f'(x) = 80x3 - 17x2 + 51x + 5 C. f'(x) = 20x3 + 17x2 - 51x + 5 D. f'(x) = 80x3 - 51x2 + 6x + 5