Solve the problem.You are planning to close off a corner of the first quadrant with a line segment 15 units long running from (x, 0) to (0, y). Show that the area of the triangle enclosed by the segment is largest when 
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If x , y represent the legs of the triangle, then x2 + y2 = 152.
Solving for y, y = 
A(x) = xy = x
A'(x) = - 
+ 
Solving A'(x) = 0, x = ± 
Substitute and solve for y: (
)2 + y2 = 225 ; y = 
? x = y.
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Solve the problem.A father wishes to distribute 19 pieces of candy among his 4 children (Abe, Betty, Cindy, and Dale) based on the number of hours each child spends doing chores around the house. Using a certain apportionment method, he has determined that Abe is to get 9 pieces of candy, Betty is to get 4 pieces, Cindy is to get 3 pieces, and Dale is to get 3 pieces. However, just before he hands out the candy, he discovers that he has 20 pieces (not 19) of candy. When he apportions the 20 pieces of candy using the same apportionment method, Abe ends up with 10 pieces, Betty with 5 pieces, Cindy with 3 pieces, and Dale with 2 pieces. This is an example of
A. a violation of the quota rule. B. the population paradox. C. the new states paradox. D. the Alabama paradox. E. none of these
Use a graphing calculator to plot the data and find the quadratic function of best fit.The number of housing starts in one beachside community remained fairly level until 1992 and then began to increase. The following data shows the number of housing starts since 1992 (x = 1). Use a graphing calculator to plot a scatter diagram. What is the quadratic function of best fit?
A. H(x) = -2.679x2 - 26.607x + 168.571 B. H(x) = -2.679x2 + 26.607x + 168.571 C. H(x) = -2.679x2 + 26.607x - 168.571 D. H(x) = 2.679x2 + 26.607x + 168.571
Differentiate the following implicitly to find dy/dx . Then find the slope of the curve at the given point.
Find the area of the surface obtained by rotating the curve about the -axis. 
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