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Suppose that each person in a group of n people votes for exactly two people from a slate of candidates to fill two positions on a committee.
The top two finishers both win positions as long as each receives more than n/2 votes.
a) Devise a divide-and-conquer algorithm that determines whether the two candidates who received the most votes each received at least n/2 votes and, if so, determine who these two candidates are.
b) Use the master theorem to give a big-O estimate for the number of comparisons needed by the algorithm you devised in part (a).
Define composition of morphisms to be matrix multiplication. Show that C is a skeletal category - is both a push-out diagram and a pull-back diagram in Set, the category of sets and functions between them.
Sketch the curve for y = sin(x) between x = 0 and x = 2?, then find the total area enclosed by the curve y = sin x and the X axis between x = 0 and x = 1.7.
Use Cylindrical coordinates to evaluate the triple integral SSS_E sqrt(x^2+y^2)dV, where E is the solid bounded by the circular paraboloid z=16-1(x^2+y^2) and the xy-plane.
The cost in dollars for removing p percent of pollutants from a river in Smith County is C(p)=68800p/100-p Graph this function on your calculator. 1.Find the cost of removing 20%.
Calculate the flux of the vector field = 3 + 6 through a square of side 6 lying in the plane x + y + z = 10 oriented away from the origin.
An anchor weighing 130 lb in water is attached to a chain weighing 2 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 35 ft.
a room measures 9 meters by 13 meters and the ceiling is 3 meters high. A liter of paint covers 16 square meters. How many liters of paint will it take to paint all but the floor of the room?
A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three regions are colored red, two are colored green and one is colored yellow
a group of four friends celebrated a birthday i local japanese restaurant. after adding 15 tip to the original bill
Allen Young has always been proud of his personal investment strategies and has done very well over the past several years. He invests primarily in the stock market.
Find the smallest positive integer with exactly n different positive factors when n is: By this approach for 6 the answer would be: 2*3*5*7*11*13?
Find the rate of change of the volume of a cylinder when its radius is 6 ft if its height is always (3/2) times its radius and its radius is increasing at the rate of 2 feet per minute
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