Decide whether the statement is true or false. If the statement is false, give an example to show that it is false.A graph containing one or more vertices of degree 1 can have an Euler circuit.
What will be an ideal response?
False. A vertex of degree one must be approached and left through the same edge. Thus, the edge must be used twice if the path is to return ultimately to the starting vertex. But this violates the definition of a path and thus also a circuit.
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Use symbols to name the figure. If more than one symbol is possible, give all possible names.
A. ?L, ?ULB B. ?L, ?LUB, ?LBU C. ?L, ?LUB D. ?L, ?ULB, ?BLU
Evaluate the integral.
A. 
[ sin 2x + cos 2x] + C
B. 
[2 e7x sin 2x + 7 cos 2x] + C
C. 
[2 sin 2x - 7 cos 2x] + C
D. 
[2 sin 2x + 7 cos 2x] + C
Find the magnitude and direction (in degrees) of the vector v = -3i + 2j.
What will be an ideal response?
Find, if possible, the whole number that makes the equation true.140 ÷ 20 = 
A. No whole number B. 20 C. Any whole number D. 7