Solve the problem.The graph on the left shows the population (in millions) of a colony of bacteria after t hours as given by the function f(t). The graph on the right shows f'(t).  After how many hours was the population 9 million?

A. 8 hr
B. 7 hr
C. 6 hr
D. 4 hr


Answer: B

Mathematics

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Find the volume of the solid. When appropriate, use ? ? 3.14 and round to the nearest hundredth.

A. 781.25 in.3 B. 981.25 in.3 C. 9812.50 in.3 D. 2453.13 in.3

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Solve the initial value problem for x as a function of t.(t + 2)  = x2 + 1 , t > -2 , x(4) = tan 1

A. x =  - 
B. x = tan [ ln - ln 6]
C. x = tan-1 [ ln - ln 6 + 1]
D. x = tan [ ln - ln 6 + 1]

Mathematics

The graphing calculator screen shows the graphs of the two given functions, and the display gives the coordinates of one of the solutions. Find the other solution.y = -x2 + 4x + y = 4

A. (7, -3) B. (1, 3) C. (3, 1) D. (-1, 5)

Mathematics

Solve the problem.A thermometer reading  is brought into a room with a constant temperature of  If the thermometer reads  after 3 minutes, what will it read after being in the room for 9 minutes? Assume the cooling follows Newton's Law of Cooling:   U = T + (Uo - T)ekt.(Round your answer to two decimal places.)

A. 28.65°F B. 89.91°F C. 63.56°F D. 50.09°F

Mathematics