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. - 


Answer: D

Mathematics

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Give an appropriate response.The tables below show the results of a study examining the incidence of breast cancer among women who exercise regularly and those who do not.The 425 women in the study were split into two age groups, those under 40 and those 40 or older. ?UNDER 40  OVER 40   Breast Cancer   Breast CancerRegular exercise Regular exercise   For each age group, determine the percentage of women having breast cancer among those exercise regularly and among those who do not exercise regularly. If the two age groups are combined, what

percentage have breast cancer among those who exercise regularly and among those who do not exercise regularly?Explain the apparent inconsistency in these results, and how the design of the study brought about the inconsistency. What will be an ideal response?

Mathematics

Solve the problem.The population of a town was 33,100 at the beginning of 1970. If the population decreased 300 people per year, how many people lived in the town at the beginning of 1985?

A. 28,300 B. 4500 C. 28,600 D. 28,900

Mathematics

The graphs of f(x) and g(x) are given.

Mathematics

Solve the problem.The revenue achieved by selling x graphing calculators is figured to be  dollars. The cost of each calculator is  How many graphing calculators must be sold to make a profit (revenue - cost) of at least $182.00?

A. between 14 and 26 calculators B. between 16 and 24 calculators C. between 15 and 25 calculators D. between 19 and 31 calculators

Mathematics