Solve the problem.Suppose that f and g are continuous and that  and   

A. -56
B. -41
C. 31
D. -14


Answer: B

Mathematics

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Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.

A. Local maximum at x = 3; local minimum at x = -3 ; concave up on (0, -3) and (3, ?); concave down on (-3, 3) B. Local minimum at x = 3; local maximum at x = -3 ; concave up on (0, -3) and (3, ?); concave down on (-3, 3) C. Local minimum at x = 3; local maximum at x = -3 ; concave up on (0, ?); concave down on (-?, 0) D. Local minimum at x = 3; local maximum at x = -3 ; concave down on (0, ?); concave up on (-?, 0)

Mathematics

Solve the problem.A 200 gal tank is half full of distilled water. At time = 0, a solution containing 1 lb/gal of concentrate enters the tank at the rate of 4 gal/min, and the well-stirred mixture is withdrawn at the rate of   When the tank is full, how many pounds of concentrate will it contain?

A. 100 pounds B. 200 pounds C. 120 pounds D. 150 pounds

Mathematics

For an election with four candidates (A, B, C, and D) we have the following preference schedule: Using the plurality-with-elimination method, which candidate is eliminated second?

A. A B. B C. C D. D E. none of these

Mathematics

Evaluate the following expression using a unit circle.cos 

A. -  
B. - 
C.  
D.  

Mathematics