Find the relative extrema of the function. Find the relative extrema of trigonometric functions on [0, 2? ]. List your answers in terms of ordered pairs. Then sketch a graph of the function.




Relative minimum at (?3, 5) ;

relative maximum at (?1, 9) .

Mathematics

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Use the graph to answer the question.This double-bar graph shows the number of male (M) and female (F) athletes at a university over a four-year period. Compare the trend in the number of male athletes during the four-year period and the trend in the number of female athletes during the four-year period .

A. The number of male athletes and the number of female athletes increased steadily over the four-year period. B. The number of male athletes increased steadily over the four-year period. The number of female athletes increased in 1987 then decreased again in 1988 and 1989. C. The number of female athletes increased steadily over the four-year period. The number of male athletes increased to a peak in 1988 and then decreased again in 1989. D. The number of male athletes increased steadily over the four-year period. The number of female athletes increased to a peak in 1988 and then decreased again in 1989.

Mathematics

Solve the problem. Round your answer to 2 decimal places when necessary.The overall U.S. death rate for 60 year-olds is approximately 12 deaths per 1000 people. Suppose that a life insurance company insures 2000 60-year-old people. The cost of the premium is $760 per year, and the death benefit is $55,000. What is the expected profit or loss for the insurance company?

A. $200,000 profit B. $1,320,000 loss C. $310,000 profit D. $181,760 profit

Mathematics

Find the absolute value. 

A. 0
B. -  
C.  
D.  

Mathematics

Solve the inequality. Graph the solution set and write it in interval notation.x + 12 < 20

A. (8, ?)

B. (-?, 8]

C. (-?, 8)

D. [8, ?)

Mathematics