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Find the generating function for the number of r-combinations of {3.a, 5.b, 2.c} Ans: Terms sequence is given as r-combinations of {3.a, 5.b, 2.c}. This can be writte
Find out the least number of cables required to connect 100 computers to 20 printers to assurance that 20 computers can directly access 20 different printers. Justify your answer.
1. Sketch the Spiral of Archimedes: r= aθ (a>0) ? 2: Sketch the hyperbolic Spiral: rθ = a (a>0) ? 3: Sketch the equiangular spiral: r=ae θ (a>0) ?
(a) An unordered pair fm; ng with 1 ≤ m ≠ n ≤ 6 is called a duad. List the 15 duads. (b) There are 15 ways to partition {1, ......, 6 } into 3 duads, such as { {1; 2}, {3, 4},
Find models of energy production and energy usage from 2 different countries, each on a different continent, which predict future energy production and demands. How was data collec
Find out all the numbers c that satisfy the conclusions of the Mean Value Theorem for the given function. f ( x ) = x 3 + 2 x 2 -
Compare and contrast the Conquest of Mexico and the Conquest of Peru in the 16 th century. How did the structures of the indigenous empires in these two regions differ? What impact
The Definition of the Derivative : In the previous section we saw that the calculation of the slope of a tangent line, the instantaneous rate of change of a function, and the ins
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Exponential smoothing It is a weighted moving average technique, this is described by: New forecast = Old forecast + a (Latest Observation - Old forecast) Whereas a = Sm
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