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Get college assignment help at uniessay writers Let G be a directed weighted graph, where V (G) = {v1 , v2 , · · · , vn }. Let B be an n × n matrix such that entry bij denotes the distance in G from vi to vj (using a directed path). Now we are going to insert a new vertex vn 1 into G. Let wi denote the weight of the edge (vi , vn 1 ) and w′ i denote the weight of the edge (vn 1 , vi ). (If there is no edge from vi to vn 1 or from vn 1 to vi , then wi or w′ i is inf , respectively.) Describe an algorithm to construct an (n 1) × (n 1) distance matrix B′ from B and values of wi and w′ i for 1 ≤ i ≤ n. (Note that the graph G itself is not given.) Your algorithm should work in O(n2 ) time. (Hint: all pairs shortest paths algorithm.)

Explain why the functions f(x) = 9-x^2/x 3 and g(x) 3-x are not equal.

A metric on a set X is a function d: XxX -> R so that for all x,y, and z in X, the following properties are satisfied: *d(x,y) is greater than or equal to 0 *d(x,y) = 0 if and only if x = y. *d(x,y)= d(y,x) d(x,y) d(y,x) is greater than or equal to d(x,z) Prove that each of the following is a metric for the indicated set. the Euclidean metric: X = R, d(x,y)= square root of (x-y)^2 the Manhattan metric: X = R^2, d((x,y), (z,w)) = |x-z| |y-w| the discrete metric: X is any set, d(x,y) = 0 whenever x = y, and d(x,y) = 1 if x is not equal to y.

a heavy rope 60 ft long, weighs 0.8 lb/ft and hangs over the edge of the building 110 ft high. find the work done in pulling the rope to the top of the building?

A hawk flying at 10 m/s at an altitude of 180 m accidentally drops its prey. The parabolic trajectory of the falling prey is described parametrically by x=10t y=180−49t^ until it hits the ground. The variable x represents the horizontal distance traveled by the prey and the variable y represents its height above the ground. Calculate the distance traveled by the prey from the time it is dropped until it hits the ground. Express your answer correct to the nearest tenth of a meter.

“At the bristol racket Club tennis courts are rented by the hour the spread sheet shows the data for two monthly plans . Pla A involves paying one monthly fee of $10.00 plus $ 9.00 dollars an hour for court time . Plan B involves a one time monthly fee of $ 70.00 dollars plus $ 4.00 an hour for court time .How many hours would need to be rented during the month to make plan B the best plan. I need to know how you found the answer by showing me the steps so I cn understand”

Suppose X, Y, and Z are random variables with joint density function

A tree on a hillside casts a shadow 215ft down the hill. If the angle of inclination of the hillside is 22° to the horizontal and the angle of elevation of the sun is 52°, find the height of the tree.

Which statements are equivalent to the event “at least one nonword error” in terms of X

The weights of lobster that fishermen catch per day are normally distributed with an average weight of 32 pounds of lobster per day and a standard deviation of four pounds. If a random sample of 30 lobster fishermen is selected, what is the probability that their average catch is less than 31.5 pounds?

Get college assignment help at uniessay writers You have 80m of fence to enclose a rectangular area for a snow sculpture competition. one side of the area is bound by the school, so the fence is required for only three sides of the rectangle. a) Determine the dimensions of the maximum area that can be enclossed. b) Draw a labelled diagram of the rectangular area.

Create a two column relative frequency table, in excel and attach. There are ten students, the number of books they have purchased this semester are 4,3,7,2,8,6,1,0,3,5

The image below shows the probability distribution of a uniform distribution with endpoints at 1 and 5. Sketch the approximate probability distribution of the mean if you were to take many samples of size 150 from this distribution.

The hight of the projectile in feet at time t in seconds is given by: f(t)=-16t^2 bt c. Find the values of b and c when the projectile passes through the points (1, 240) and (2,448)

hsm 260 exercise 9.3 wk 5

provide ones own examples of each of the following properties. The commutative Properties, The associative Properties, The distributive Property

In the game of roulette, a steel ball is rolled onto a wheel that contains 18 red, 18 black, and 2 green slots. If the ball is rolled 29 times, find the probability of the following events. A. The ball falls into the green slots 4 or more times.

ages of all students enrolled at Casenec college form a normal distribution with a mean of 25 years and a standard deviation of 5 years. a) What is the probability that a randomly selected student is between 19 and 28 years old? b) What is the probability that a randomly selected student is at least 27.4 years? c) What age is the boundary for the youngest 10%.? d) What age is the boundary for the oldest 20% ?

Evaluate the Triple Integral ∫∫∫Txyz dV, where T is the solid tetrahedron with vertices (0,0,0), (1,0,0), (1,1,0), and (1,0,1)

Determine the number of moles of atoms in a 22.89 g sample of a metal whose molar mass (MM) is 58.69 g.

sum of the series 1/2-1/9 1/8-1/81 1/32-1/729

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November 3, 2019