Solve the problem.The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). If the plurality method is used to determine the winner and Clark drops out, is the irrelevant alternatives criterion satisfied?

A. Yes
B. No


Answer: B

Mathematics

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Solve the problem.Find the derivative of the function    at the point    in the direction in which the function decreases most rapidly.

A. - 
B. - 
C. - 
D. - 

Mathematics

Express the value of the inverse hyperbolic function in terms of natural logarithms.sech-1 

A. ln 
B. ln  
C. Undefined
D. ln 

Mathematics

Graph the system of inequalities.x + 2y ? 2  x - y ? 0

A.

B.

C.

D.

Mathematics

Solve the problem.When a pendulum of length 13 cm has swung so that ? is the radian measure of the angle formed by the pendulum and a vertical line, then if h cm is the vertical height of the pendulum above its lowest point,  Find the vertical height when 

A. 22 B. 5.8 C. 12 D. 0.17

Mathematics