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 = 50 - x2, y = x2, x = 0
A. 
?
B. 1250?
C. 
?
D. 625?
Answer: D
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For the following question(s), refer to the digraph below.
Suppose that the vertices of the digraph represent basketball teams playing in a tournament and the arcs represent games already played. An arc going from vertex X to vertex Y means that team X beat team Y. (No ties are possible in basketball.) Which of the following statements [A), B), C), or D)] is not true?
A. A defeated B and C but lost to E. B. B played a total of 5 games, winning 2 and losing 3. C. D and C were the only two teams that did not play each other. D. B and C were the only two teams that played each other twice. E. all of these statements are true.
Write out the first five terms of the sequence.an = n2 - n
A. 0, 2, 6, 12, 20 B. 2, 6, 12, 20, 30 C. 0, 3, 8, 15, 24 D. 1, 4, 9, 16, 25
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.7 ln(x - 4) - 2 ln x
A. ln x2(x - 4)7
B. ln 
C. ln 
D. ln 14x(x - 4)
Solve the inequality. Write the solution in interval notation.x2 + 7x + 6 > 0
A. (-1, ?) B. (-?, -6) ? (-1, ?) C. (-6, -1) D. (-?, -6)