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

A.
B.
C.
D.


Answer: B

Mathematics

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Solve the problem.An auxiliary fuel tank for a helicopter is shaped like the surface generated by revolving the curve  - 4 ? x ? 4, about the x-axis (dimensions are in feet). How many cubic feet of fuel will the tank hold to the nearest cubic foot?

A. 13 B. 7 C. 17 D. 4

Mathematics

Answer the question.Suppose that a test for a disease correctly gives positive results for 95% of those having the disease and correctly gives negative results for 92% of those who don't have the disease. Suppose also that the incidence of the disease is 1%. If a person tests positive for the disease, what can you say about their chance of having the disease?

A. It is about 50% B. It is quite low C. It is very high D. It is 95%

Mathematics

Solve by graphing. Label the axes and show where the solution is located on the graph.During the month of January 2006, the depth, d, of snow in inches at the base of one ski resort could be approximated by  where t is the number of days since December 31st. Graph the equation and use the graph to estimate the depth of snow on January 24th.

A. 16 inches B. 40 inches C. 21 inches D. 24 inches

Mathematics

Solve the problem.The line graph shows the cost of inflation. What cost $5000 in 1980 would cost the amount shown by the graph in subsequent years. Below are two mathematical models for the data shown in the graph. In each formula, C represents the cost x years after 1985 of what cost $5000 in 1980. Model 1: C = 798x + 17,521 Model 2:  C = -x2 + 820x + 18,017(i) Use the graph to estimate the cost in 2000, to the nearest thousand dollars, of what cost $5000 in 1980.(ii) Use model 1 to determine the cost in 2000. How well does this describe your estimate from part (i)?(iii) Use model 2 to determine the cost in 2000. How well does this describe your estimate from part (i)?

A. (i) about $28,000; (ii) about $29,491, reasonably well; (iii) about $28,452, reasonably well B. (i) about $29,000; (ii) about $29,491, reasonably well; (iii) about $30,092, reasonably well C. (i) about $30,000; (ii) about $30,289, reasonably well; (iii) about $30,912, reasonably well D. (i) about $27,000; (ii) about $28,693, reasonably well; (iii) about $29,272, reasonably well

Mathematics