Find the domain and the vertical asymptote of the function.g(x) = ln (x - 7)
A. Domain: (7, ?); vertical asymptote: x = 7
B. Domain: (0, ?); vertical asymptote: x = 0
C. Domain: (-7, ?); vertical asymptote: x = -7
D. Domain: (-?, ?); vertical asymptote: none
Answer: A
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Determine if the series converges absolutely, converges, or diverges.
A. converges absolutely B. diverges C. converges conditionally
Solve the problem.Find the mean for the amounts: 57, 63, 62, 55, 63, 58, 67, 51, 56.
A. 58.5 B. 57.8 C. 58 D. 59.1
Write an algebraic expression for the specified quantity.Allison can clean the house in 6 hours working alone. Joel can do the job in 4 hours working alone. it takes Allison and Joel to clean the house working together. Write an algebraic expression in t for (i) the portion of the job completed by Allison in t hours; (ii) the portion of the job completed by Joel in t hours.
A. (i) Allison: t
(ii) Joel: t
B. (i) Allison: t
(ii) Joel: t
C. (i) Allison: t
(ii) Joel: t
D. (i) Allison: + t
(ii) Joel: + t
Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols.The surface area of a sphere is 4? times the square of the radius.
A. If S represents the surface area and r the radius, then 4?S =r2. B. If S represents the surface area and r the radius, then S = 4?r. C. If S represents the surface area and r the radius, then S = 4?r2. D. If S represents the surface area and r the radius, then S = ?r2.