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Decimal representations of some basic angles: As a last quick topic let's note that it will, on occasion, be useful to remember the decimal representations of some basic angles. So following they are,
π/2= 1.5708 π= 3.1416 3π/2 =4.7124 2π = 6.2832
By using these we can rapidly see that cos-1( 3/4)have to be in the first quadrant since 0.7227 is among 0 and 1.5708. It will be of great help while we go to find out the remaining angles
Hence, once again, we can't stress sufficient that calculators are significant tools which can be of tremendous help to us, however it you don't understand how they work you will frequently get the answers to problems wrong.
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1. a) Given a digraph G = (V,E), prove that if we add a constant k to the length of every arc coming out from the root node r, the shortest path tree remains the same. Do this by
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