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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
Q. What is a Mixed Number? Ans. A mixed number is an integer, along with a fractional part, which has the same sign. (Therefore, a mixed number always has two parts.) M
find a common tangent to two circles
is 49 a square number?
Calculate the value of the following limit. Solution: This first time through we will employ only the properties above to calculate the limit. Firstly we will employ prop
State the following statement as a disjunction (in DNF) as well using quantifiers: There does not exit a woman who has taken a flight on each airline in the world.
Question A 22 kW, 3-phase, 415 V, 40 A, 50 Hz, 960 rpm, 0.88 PF squirrel cage induction motor drives a pump. The total inertia of the drives system is 1.2 kg-m2. Determine th
Learning geometric progression vis-á-vis arithmetic progression should make it easier. In geometric progression also we denote the first t
Q. What is the probability of getting a Royal Flush? Ans. Five cards are picked from a standard deck of 52 cards. How many different hands of five cards are possible? What
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