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Question: 1. Let G be a directed graph, possibly with parallel arcs, and let A be its adjacency matrix. Then A may not be a Boolean matrix. Prove that the i, j entry of matrix a2 is the number of paths of length 2 from node i to node j.
2. Let A be the adjacency matrix of a directed graph G, possibly with parallel arcs. Prove that the i, j entry of matrix an gives the number of paths of length n from node i to node j.
Water is poured into a conical reservoir at a rate of pi cubic feet per second (about 3 ft/sec). The reservoir has a radius of 6 ft across the top and a height of 12 ft. At what rate is the level of the water inside the reservoir increasing when th..
water is leaking out of an inverted conical tank. the tank has a height of 6 meters and the diameter at the top is 4 meters. write the volume of the tank as a function of its height h of the water.
From a balloon 910 feet high, the angle of depression to the ranger headquarters is 64° How far is the headquarters from a point on the ground directly below the ballon?
A wire 76 in. long is bent to form a rectangle. If the width of the rectangle will be 16 in. Find the length of the rectangle.
A company manufacturing laptops believes that 5% of their computers are faulty. They take a sample of 30 computers. Showing your calculations, find the probability; a. Two of the laptops are faulty
the pie contained 17 raspberries, 3 pech, 28 apple, 4 pear, 89 raisin, 67 cherries and 2 plum slices. how many time will jack have to stick his thumb into the pie before he can pull two pieces of same kind of fruit.
1. Discuss the differences between data, information, businesses intelligence, and knowledge in relation to a business. Include how the component of people fits into this mix.
thrree displacements are a 200 m due south b 250 m due west c 150 m 30.0deg east of north. construct a separate
Explain how you would use probability, statistics and geometry in the computer forensics field.
Take the DCT of the Sinan image and plot the average squared value of each coefficient.- Compare the results in parts (a) and (b) above. Comment on the differences.
the graph of the circle of the equation below is a circle. What is the length of the radius of the circle?
(3/2) * (0.75 (√2(2+1)) -1)/0.25) *1 = 3.95can you explain with in details how to get to 3.95 answer, explain how to plug in the numbers in a calculator
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