Use the sign diagram for  to determine the largest interval on which f (x) decreases, where  and

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A.
B.
C.
D.
E.

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Answer: B

Mathematics

Find the first five partial sums of the given series and determine whether the series is convergent or divergent. If it is convergent, then find its sum. +  +  +  +  + ...

A. 0.5, 1.16667, 1.91667, 2.71667, 3.55; convergent; 3.55 B. 0.5, 1.16667, 1.91667, 2.71667, 3.55; divergent C. 0.5, 0.6667, 0.75, 0.8, 0.8333; divergent D. 0.5, 0.6667, 0.75, 0.8, 0.8333; convergent; 1

Use De Morgan's laws to write a statement that is equivalent to the given statement. ~p ? (q ? ~r)

A. (~q ? r) ? p B. p ? (~q ? ~r) C. (~q ? ~r) ? p D. p ? (~q ? r)

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 = sin x, y = -sin 

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

x? = 5x ? 6y, y? = 2x + y 11

Solve the first-order linear system.