Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. In this problem, use the graph of the function  given in the figure.
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At what point(s) A through E is the rate of change of f (x) equal to zero?
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A. A C E
B. B E
C. B D
D. B C
E. A B C


Answer: A

Mathematics

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Solve the problem. Round your answer to 5 decimal places when necessary.The table shows the leading causes of death for one country in a single recent year. Assume a population of 77.5 million.How much greater is the risk of death by heart disease than the risk of death by stroke?

A. 36.06557 B. 3.60656 C. 3.2459 D. 0.00159

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Use the graph to solve the problem.Find the rate of change in Carlos's weight.

A. -6 pounds per month B. -2 pounds per month C. -4 pounds per month D. -5 pounds per month

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Write the augmented matrix for the system.-2x + 4z = 2  3y + 6z = 45 5x + 3y + 5z = 67

A.

B.

C.

D.

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Provide an appropriate response.Fill in the blank with "always greater than," "sometimes greater than," "always less than," or "cannot be determined," whichever response is correct. When dividing a positive fraction by , the answer is  the fraction.

A. always greater than B. always less than C. sometimes greater than D. cannot be determined

Mathematics