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In the National Hockey championship, there are 30 independent ice hockey teams. Every of the teams will play 82 official NHL games every year. Many teams will have to travel from the USA and Canada to play games. Minimizing the amount of travel needed to play this schedule is vital to the teams of the league (In 2011, the Atlanta Thrashers moved to Winnipeg, Manitoba, and renamed themselves the Jets. The Thrashers were formerly in the Southeast Division and the Eastern Conference. Next year they will probably be in the Western conference. Now the NHL must figure out how to realign their divisions). The NHL is arranged by:
Differentiate following functions. (a) f ( x ) = 2 x 5 cosh x (b) h (t ) = sinh t / t + 1 Solution (a) f ′ ( x ) = 10x 4 cosh x + 2x 5 sinh x (b) h′ (t ) = (t
Two tanks initially contain 100 liter liquid each. Their initial concentration are listed in the Figure below. At time zero, the input and output valves are opened simultaneously w
Peter purchased 14 latest baseball cards for his collection. This increased the size of his collection through 35%. How many baseball cards does Peter now have? First, you must
Hi may i know how to substract the (ID)colum matrix from (K)square matrix as per equation below. E = (K - ID)^-1 S K is m*m matrix I is idntity matrix d is column vector s is col
Example : Back into the complex root section we complete the claim that y 1 (t ) = e l t cos(µt) and y 2 (t) = e l t sin(µt) Those were a basic set of soluti
Evaluate the area and perimeter of a square: Example: Calculate the area and perimeter of a square with a = 5´. Be sure to include units in your answer. Solution:
Prove that the area of a rhombus on the hypotenuse of a right-angled triangle, with one of the angles as 60o, is equal to the sum of the areas of rhombuses with one of their angles
Given two functions f(x) and g(x) which are differentiable on some interval I (1) If W (f,g) (x 0 ) ≠ 0 for some x 0 in I, so f(x) and g(x) are linearly independent on the int
Express area of a square with sides of length 5ab as a monomial.
OPERATION RESEARCH ABSTRACT
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