Explain how to obtain the graph of the second function from the graph of the first function, or state that the graphs are identical.y = cos x, y = -cos 

A. Translate the graph  units to the left.
B. The graphs are identical.
C. Translate the graph  units to the right.
D. Translate the graph  units to the right, and then reflect it over the x-axis.


Answer: D

Mathematics

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Use the Ratio Test to determine if the series converges or diverges.

A. Converges B. Diverges

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Provide an appropriate response.Which of the following fractions is equivalent to ?

A. 2
B.
C.
D.

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Solve.The inequality |x - 21.6| ? 0.4 describes the range of acceptable lengths x, in centimeters, of a certain metal rod used in a manufacturing process. Solve the inequality and interpret the solution.

A. ; the length of the metal rod is acceptable between a low of 22 cm and a high of 22.4 cm.
B. ; the length of the metal rod is acceptable between a low of 21.2 cm and a high of 22 cm.
C. (-?,  ? ?); the length of the metal rod is acceptable at or below 21.2 cm and at or above 22 cm.
D. (-?,  ? ?); the length of the metal rod is acceptable at or below 22 cm and at or above 22.4 cm.

Mathematics