Solve the problem.Suppose that the population of a town is given by ,where t is the time in years after 1980 and P is the population of the town in thousands. Find P'(t).

A. P'(t) = 
B. P'(t) = 
C. P'(t) = 
D. P'(t) = 


Answer: D

Mathematics

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Find the exact value of the trigonometric expression without the use of a calculator.

A. - 
B. -2
C. -
D. - 

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Provide the requested response.For the viewing rectangle [-35, 35, 5] by [0, 25, 5] , state the number of tick marks on the positive x-axis.

A. 7 B. 9 C. 5 D. 12

Mathematics

Solve.A rectangle that is x feet wide is inscribed in a circle of radius 32 feet. Express the area of the rectangle as a function of x. Graph the function and from the graph determine the value of x, to the nearest tenth of a foot, which will maximize the area of the rectangle.

A. 44.9 feet B. 44.5 feet C. 45.7 feet D. 45.3 feet

Mathematics