Answer the question.Explain why, when one number is a factor of another, the least common denominator of the numbers is the larger number.

What will be an ideal response?


Every prime factor of the smaller number is contained in the prime factorization of the larger number. Then the least common denominator will contain each prime factor exactly the number of times it appears in the larger number, and hence, is the larger number.

Mathematics

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Determine if the series converges absolutely, converges, or diverges.

A. diverges B. converges absolutely C. converges conditionally

Mathematics

Find the equation of the conic with the given characteristics.Parabola with vertex (8, -2) and focus (8, -5)

A. (x - 8)2 = 12(y + 2) B. (y - 2)2 = 12(x + 8) C. (x - 8)2 = -12(y + 2) D. (y - 2)2 = -12(x + 8)

Mathematics

Determine if the series converges or diverges. If the series converges, find its sum.

A. converges; 
B. converges; 
C. diverges
D. converges; 

Mathematics

Solve the problem.Find the volume generated by revolving the curve y = cos 3x about the x-axis, 0 ? x ? ?/36

A.  + 
B.  + 
C.
D.  + 

Mathematics