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A tournament is a directed graph where between every two distinct vertices u and v, there is either an edge from u to v or an edge from v to u, but not both. Prove that every tournament has a Hamiltonian tour. (Hint: use induction on |V |, and show that the last element can be inserted somewhere on a tour that spans the first n - 1. )
A 60 kg crate rests on a level floor at a shipping dock. An applied force of 500 N will put the box in motion from rest. Once in motion, an applied force of 450 N will move the box at a constant speed.
Pump A can fill a tank of water in 5 hours. Pump B can fill the same tank in 8 hours. How long does it take the two pumps working together to fill the tank?(round your answer to the nearest minute).
Set up the augmented matrix that describes the situation, and solve for the desired solution. You invested $2,300 into account 1, and $2,500 into account 2. If the total amount of interest after one year is $242, and account 2 has 1.5 times the in..
Find the solution of the differential equation that satis?es the given initial condition
Mary bought a red convertible for $14000.She paid $1000 down and borrowed the rest on a one year note at 15% interest. How much will she owe at the end of one year?
Two hundred stones are placed on the ground 3 feet apart, the first being 3 feet from a basket. If the basket and all the stones are in a straight line, how far does a person travel who starts form the basket and brings the stones to it one by one..
An executive invests $28,000, some at 6% and some at 5% annual interest. If he receives an annual return of $1540, how much is invested at each rate.
Given that z = 3x2 + 9xy - y2, compare the actual change in z Δz and the estimated change in z dz as (x,y) changes from (3, 9) to (2.95, 9.05).
From the perspective of a minority investor in the company's shares, which methods provide better information about the economic performance of Fiat? Summarize the red flags for potential misuse of reporting discretion.
rebecca has 18 roses and 24 tulips. she wants to make identical bouquets with three roses in each bouquet.hyow many
The most general form of a fourth-order isotropic tensor can be expressed by adijdkl þ bdikdjl þ gdildjk where a, b, and g are arbitrary constants. Verify that this form remains the same under the general transformation given by (1.5.1)5.
Define the hashing function h
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