Find (f ? g)(x) and (g ? f)(x).f(x) = 
; g(x) = 2x3
A. (f ? g)(x) = 
(g ? f)(x) = 
B. (f ? g)(x) = 
(g ? f)(x) = 
C. (f ? g)(x) = 
(g ? f)(x) = 
D. (f ? g)(x) = 
(g ? f)(x) = 
Answer: D
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Determine whether the improper integral converges or diverges.
A. Converges B. Diverges
Determine the standard equation of the hyperbola with the given characteristics.A focus is at (4, 2), and the vertices are at (10, 2) and (8, 2).
A. 
- (y - 9)2 = 1
B. 
- (y - 2)2 = 1
C. (x - 2)2 - 
= 1
D. (x - 9)2 - 
= 1
A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.
The cheapest-link tour starting with vertex A is given by:
A. A, B, C, D, E, A. B. A, C, D, B, E, A. C. A, E, C, D, B, A. D. A, D, B, E, C, A. E. none of these
Solve the problem.An inheritance of $1,060,000 is to be divided among Chris, Kelly, and Julie in the following manner: Kelly is to receive 
of what Chris gets, while Julie gets 
of what Chris gets. How much does Kelly receive?
A. $120,000 B. $360,000 C. $100,000 D. $600,000