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QUESTION
(a) Draw a graph model with the following adjacency matrix.
(b) The diagram below shows different cities labelled a to g and z. Also shown on the diagram, the possible paths from one city to another. A number represents the distance between two cities. Find the length of the shortest path from a to z. Give appropriate explanations and show all your workings.
write in factor form 9x3+9x5
Example of inflection point Determine the points of inflection on the curve of the function y = x 3 Solution The only possible inflexion points will happen where
2x-11x-21
Sample of Timing and Cost
Cardioids and Limacons These can be split up into the following three cases. 1. Cardioids: r = a + a cos θ and r = a + a sin θ. These encompass a graph that is vaguel
solve x+y= 7 and x-y =21
(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},
monomet
Characteristics of Time Series Time series has the given characteristics. a) A long term trend (T) -tendency of the whole series to fall and rise. b) Seasonal variati
If tanA+sinA=m and tanA-sinA=n, show that m 2 -n 2 = 4√mn Ans: TanA + SinA = m TanA - SinA = n. m 2 -n 2 =4√mn . m 2 -n 2 = (TanA + SinA) 2 -(TanA - SinA) 2
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