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1. a) Find the shortest paths from r to all other nodes in the digraph G=(V,E) shown below using the Bellman-Ford algorithm (as taught in class). Please show your work, and draw the final shortest dipath tree on a copy of a diagram of the digraph.
b) Using the potential y found in a), find a new set of costs c* for G which are non-negative, and preserve shortest dipaths.
x=21
The area of a rectangle gets decreased by 8 m2, if its length is decreased by 5 m and breadth increased by 3 m. If we enhance the length by 3 m and breadth by 2 m, the area is en
What is our aim when teaching children multiplication? Firstly they should be able to judge which situations they need to multiply in, and the numbers that are to be multiplied sec
long ago, people decided to divide the day into units called hours. they choose 24 as the number of hours in one day. why is 24 a more convenient choice than 23 or 25?
The sum of -4 and a number is equal to -48. What is the number? Let x = the number. Because sum is a key word for addition, the equation is -4 + x = -48. Add 4 to both sides o
A person travels 10 miles due north, 6 miles due west, 4 miles due north, and 12 miles due east. How far is that person from the initail state? a. 23 miles northeast b. 13 mi
A girl has 25 plants in all, 8 of them are tomatos. She has 10 more bean plants than pepper plants. How many pepper plants does she have?
Disjointed Sets or Mutually Exclusive Two sets are said to be mutually or disjointed exclusive whether they have no elements in common. Sets P and R underneath are disjointed
On dividing the polynomial 4x 4 - 5x 3 - 39x 2 - 46x - 2 by the polynomial g(x) the quotient is x 2 - 3x - 5 and the remainder is -5x + 8.Find the polynomial g(x). (Ans:4 x 2 +
#question.Find the slope of the line that passes through (7, 3) and (9, 6). Simplify your answer and write it as a proper fraction, improper fraction, or integer. .
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