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Suppose a unit circle, and any arc S on the unit circle in the first quadrant. No matter where S is provided, the area between S and the x-axis plus the covered area between S and y-axis is constant! Moreover, that constant is same to the length of S:
A + B = s2 - s1.
In Figure, note that regions A and B overlap; in that part the area is counted double times. The quantity (s2 - s1) shows the length of S along the arc from s2 to s1.
Prove that Prim's algorithm produces a minimum spanning tree of a connected weighted graph. Ans: Suppose G be a connected, weighted graph. At each iteration of Prim's algorithm
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(x+4)(x+6)>0
What is a rational number?
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