Solve the problem.Each player has a supply of nickels, dimes, and quarters. At a given signal, both players display one coin. If the displayed coins are not the same, then the player showing the higher valued coin gets to keep both. If they are both nickels or dimes, then player R keeps both; but if they are both quarters, then player C keeps both. Find the optimal strategy for player C.  

A.  = 
B.  = 
C.  = 
D.  = 


Answer: A

Mathematics

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Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = xln x

A.  2
B. xln x - 1ln x
C.
D. 2xln x - 1ln x

Mathematics

Provide an appropriate response.If f(b) = 4 and f(x) is decreasing on the interval [a, b], then which method of estimating the area under the graph of f(x) and above the x-axis will yield the lowest value? Assume that n = 10 in all cases.

A. Using left endpoints B. Using midpoints C. Cannot be determined D. Using right endpoints

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Find (t) for the function given.

r(t) = 2i+sintj+costk

Mathematics

Solve for x using an equivalent exponential expression.An ice cream cone with a 9-centimeter diameter and 15-centimeter depth is filled exactly level with the top of the cone. Approximate how much ice cream (in cubic centimeters) is in the cone. Use  for ?.

A. 954 cu cm
B. 1272 cu cm
C. 3818 cu cm
D. 318 cu cm

Mathematics