Find the derivative of the function at the given value of x using a graphing utility. If necessary, round to four decimal places.f(x) = 4x cos x; x = 
Fill in the blank(s) with the appropriate word(s).
-6.2832
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Solve the problem.A country is made up of four regions A, B, C, and D. The population of each region, in thousands, is given in the following table.
According to the country's constitution, the congress will have 40 seats, divided among the four regions according to their respective populations. Find the standard quota for each region. Round to the nearest hundredth.
A. A, 9.14; B, 11.25; C, 8.63; D, 5.31 B. A, 9.14; B, 11.82; C, 8.63; D, 10.98 C. A, 9.14; B, 11.25; C, 8.63; D, 10.98 D. A, 9.14; B, 11.25; C, 6.23; D, 10.98
Provide an appropriate response.The standard overtime rate is:
A. the rate of pay for hours worked beyond 40 in a month
B. 1
or 1.5 times the hourly rate
C. all of these are appropriate expressions of the standard overtime rate
D. the amount of pay per hour based on a standard 40-hour work week
Solve the equation by completing the square.z2 + 12z + 25 = 0
A. {-12 + 
}
B. {6 ± 
}
C. {6 + 
}
D. {-6 ± 
}
Evaluate the expression.-29 - 51
A. 80 B. -22 C. -80 D. 22