Give an appropriate answer to the question.A connected graph has 27 vertices and 38 edges. How many edges must be removed to form a spanning tree for the graph?
A. 37
B. 10
C. 11
D. 12
Answer: D
Mathematics
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Rewrite the given integral so that it fits the form 
, and identify u, du, and n.
A. 
; u = 1 + cos x, du = sin x dx, n = 
B. -
; u = cos x, du = -sin x dx, n = 
C. -
; u = 1 + cos x, du = -sin x dx, n = 
D. 
; u = sin x, du = (1 + cos x)1/2 dx, n = 1
Mathematics
Find the average value of the function 
?
A. 
B. 
C. 
D. ?
E. 
Mathematics
Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.y = 6
, y = 0, x = 1
A. 
?
B. 
?
C. 12?
D. 30?
Mathematics
Solve.Three times the sum of some number and 3 is equal to 7 times the number decreased by 19.
A. -7 B. 7 C. 28 D. -28
Mathematics