Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
3rd Edition
ISBN: 9780134689555
Author: Edgar Goodaire, Michael Parmenter
Publisher: PEARSON
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Textbook Question
Chapter 10.1, Problem 2TFQ
A path is a walk in which all vertices are distinct.
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18. Consider the functions f(x) = and g(x) = 3*.
x-3
a) Write a simplified equation that represents f-1 (g(x)).*
b) State the domain and range of f-1 (g(x)).
20. After a school dance, Carlos is thinking of asking Keiko out on a date.
The probability that Carlos will ask can be modeled by the function
f(x)=0.45 sin x + 0.5, and the probability that Keiko will say yes
can be modeled by the function g(x) = -0.08x(x-7), where x
represents the number of days following the school dance.
The conditional probability that Carlos asks Keiko and Keiko says yes
can be modeled by the combined function y = f(x)g(x). This
combined function is shown on the graph.
y
15
Answers to the following questions are approximate. Answers may vary but all reasonable answers will be accepted.
a) Use the graph to approximate: How many days after the dance should Carlos ask Keiko to go out with him?
x
b) Use the graph to approximate: If Carlos asks Keiko on the day that you recommended above, approximately what is the
probability that they will go on the date?
c) According to the graph, at what point does Carlos have absolutely no chance of dating Keiko?
Can you please answer all the following grade 12 advanced functions questions. I will make sure to leave a thumbs up if it's handwritten and on paper without ai. Thanks!
Chapter 10 Solutions
Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
Ch. 10.1 - Prob. 1TFQCh. 10.1 - A path is a walk in which all vertices are...Ch. 10.1 - 3. A trail is a path
Ch. 10.1 - A path is trail.Ch. 10.1 - A cycle is a special type of circuit.Ch. 10.1 - 6. A cycle is a circuit with no repeated edges
Ch. 10.1 - 7. An Eulerian circuit is a cycle.
Ch. 10.1 - Prob. 8TFQCh. 10.1 - A sub graph of a connected graph must be...Ch. 10.1 - Prob. 10TFQ
Ch. 10.1 - K8,10 is Eulerian.Ch. 10.1 - Prob. 12TFQCh. 10.1 - 13. A graph with more than one component cannot be...Ch. 10.1 - Prob. 1ECh. 10.1 - [BB] Answer the Konigsberg bridge Problem and...Ch. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - 6. Suppose we modify the definition of Eulerian...Ch. 10.1 - 7. (a) Is there an Eulerian trail from A to B in...Ch. 10.1 - [BB] (Fictitious) A recently discovered map of the...Ch. 10.1 - 9. Euler’s original article about the Konigsberg...Ch. 10.1 - Prob. 10ECh. 10.1 - Prob. 11ECh. 10.1 - [BB] For which values of n1 , if any, is Kn...Ch. 10.1 - 13. (a) Find a necessary and sufficient condition...Ch. 10.1 - Prob. 14ECh. 10.1 - 15.[BB] Prove that any circuit in the graph must...Ch. 10.1 - Prob. 16ECh. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - Prob. 19ECh. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - Prob. 22ECh. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - 25. Prove that a graph is bipartite if and only if...Ch. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.2 - A Hamiltonian cycle is a circuit.
Ch. 10.2 - Prob. 2TFQCh. 10.2 - Prob. 3TFQCh. 10.2 - Prob. 4TFQCh. 10.2 - Prob. 5TFQCh. 10.2 - A graph that contains a proper cycle cannot be...Ch. 10.2 - Prob. 7TFQCh. 10.2 - Prob. 8TFQCh. 10.2 - Prob. 9TFQCh. 10.2 - Prob. 10TFQCh. 10.2 - Prob. 1ECh. 10.2 - 2. Determine whether or not each of the graphs of...Ch. 10.2 - Determine whether each of the graph shown is...Ch. 10.2 - Prob. 4ECh. 10.2 - Consider the graph shown. Is it Hamiltonian? Is...Ch. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Does the graph have a Hamiltonian cycle that...Ch. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - How many edges must a Hamiltonian cycle is kn...Ch. 10.2 - 12. Draw a picture of a cube, by imagining that...Ch. 10.2 - Prob. 13ECh. 10.2 - Prob. 14ECh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Suppose G is a graph with n3 vertices and at least...Ch. 10.2 - 18.[BB] Suppose G is a graph with vertices such...Ch. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - Answer true of false and in each case either given...Ch. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Find a necessary and sufficient condition on m and...Ch. 10.3 - Prob. 1TFQCh. 10.3 - Prob. 2TFQCh. 10.3 - Prob. 3TFQCh. 10.3 - Prob. 4TFQCh. 10.3 - Prob. 5TFQCh. 10.3 - Prob. 6TFQCh. 10.3 - Prob. 7TFQCh. 10.3 - Prob. 8TFQCh. 10.3 - Prob. 9TFQCh. 10.3 - Prob. 10TFQCh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - 8. (a) [BB] Find the adjacency matrices and of...Ch. 10.3 - 9. Repeat Exercise 8 for the graphs and shown....Ch. 10.3 - Prob. 10ECh. 10.3 - Let A=[abcpqrxyz] and let P=[010001100]. Thus P is...Ch. 10.3 - Prob. 12ECh. 10.3 - 13. For each pair of matrices shown, decide...Ch. 10.3 - 14. [BB] Let A be the adjacency matrix of a...Ch. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - Prob. 18ECh. 10.4 - Prob. 1TFQCh. 10.4 - Prob. 2TFQCh. 10.4 - It is an open question as to whether there exists...Ch. 10.4 - Prob. 4TFQCh. 10.4 - Prob. 5TFQCh. 10.4 - Prob. 6TFQCh. 10.4 - Prob. 7TFQCh. 10.4 - Prob. 8TFQCh. 10.4 - Prob. 9TFQCh. 10.4 - Prob. 10TFQCh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.4 - Prob. 7ECh. 10.4 - Prob. 8ECh. 10.4 - Prob. 9ECh. 10.4 - Prob. 10ECh. 10.4 - Prob. 11ECh. 10.4 - 12. [BB] Could Dijkstra’s algorithm (original...Ch. 10.4 - Prob. 13ECh. 10.4 - 14. (a) If weights were assigned to the edges of...Ch. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - Prob. 19ECh. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10 - In the Konigsberg Bringe Problem (see fig. 9.1),...Ch. 10 - Prob. 2RECh. 10 - Suppose G1 and G2 are graphs with no vertices in...Ch. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - Is the graph Hamiltonian? Is it Eulerian? Explain...Ch. 10 - Determine, with reason, whether each of the...Ch. 10 - Prob. 8RECh. 10 - Prob. 9RECh. 10 - Prob. 10RECh. 10 - Prob. 11RECh. 10 - Prob. 12RECh. 10 - Prob. 13RECh. 10 - Prob. 14RECh. 10 - 15. A connected graph G has 10 vertices and 41...Ch. 10 - Prob. 16RECh. 10 - Let v1,v2,........v8 and w1,w2,..........w12 be...Ch. 10 - Prob. 18RECh. 10 - Martha claims that a graph with adjacency...Ch. 10 - Prob. 20RECh. 10 - Which of the following three matrices (if any) is...Ch. 10 - Apply the first form of Dijkstras algorithm to the...Ch. 10 - Prob. 23RECh. 10 - 24. Apply the original form of Dijkstra’s...Ch. 10 - Apply the improved version of Dijkstras algorithm...Ch. 10 - Prob. 26RECh. 10 - 27. Apply the Floyd- Warshall algorithm apply to...Ch. 10 - Prob. 28RE
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