Provide an appropriate response.Suppose the derivative of the function y = f(x) is y' = (x - 2)2(x + 7). At what points, if any, does the graph of f have a local minimum or local maximum?

A. no local minimum or local maximum
B. local minimum at x = -7
C. local minimum at x = 2
D. local maximum at x = -7


Answer: B

Mathematics

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Solve the problem.A movie theater has two screens and shows its movie continuously. A 30 minute documentary is shown on one screen. A 90 minute feature is shown on the other screen. If both movies begin at noon, how many minutes will pass before both movies begin again at the same time?

A. 120 minutes B. 90 minutes C. 10 minutes D. 180 minutes

Mathematics

The function f is one-to-one. Find its inverse.f(x) = 

A. f-1(x) = 
B. f-1(x) = 
C. f-1(x) = 
D. f-1(x) = 

Mathematics

Graph the function.f(x) = 3ln x 

A.

B.

C.

D.

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Decide whether A and B are inverses by calculating AB and BA.A =   B = 

A. No B. Yes

Mathematics