Nature of Mathematics (MindTap Course List)

13th Edition

ISBN: 9781133947257

Author: karl J. smith

Publisher: Cengage Learning

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Textbook Question

Chapter 9.1, Problem 51PS

On a planet far, far away, Luke finds himself in a strange building with hexagon-shaped rooms as shown in Figure 9.17 .

Chapter 9.1, Problem 51PS, On a planet far, far away, Luke finds himself in a strange building with hexagon-shaped rooms as

FIGURE 9 . 1 7 Strange room arrangement

In his search for the princess, Luke always moves to an adjacent room and always in a southerly direction.

a. How many paths are there to room 1?

to room 2?

to room 3?

to room 4?

b. How many paths are there to room 10?

c. How many paths are there to room 13?

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Chapter 9 Solutions

Nature of Mathematics (MindTap Course List)

Ch. 9.1 - Level 1 IN YOUR OWN WORDS Describe the Konigsberg...Ch. 9.1 - Prob. 2PS Ch. 9.1 - Level 1 IN YOUR OWN WORDS Describe the solution to...Ch. 9.1 - Prob. 4PS Ch. 9.1 - Prob. 5PS Ch. 9.1 - Prob. 6PS Ch. 9.1 - Prob. 7PS Ch. 9.1 - Prob. 8PS Ch. 9.1 - Prob. 9PS Ch. 9.1 - Prob. 10PS

Ch. 9.1 - Which of the networks in Problem 6-11 have Euler...Ch. 9.1 - Prob. 12PS Ch. 9.1 - Prob. 13PS Ch. 9.1 - Prob. 14PS Ch. 9.1 - Prob. 15PS Ch. 9.1 - Prob. 16PS Ch. 9.1 - Prob. 17PS Ch. 9.1 - Prob. 18PS Ch. 9.1 - Prob. 19PS Ch. 9.1 - Prob. 20PS Ch. 9.1 - Prob. 21PS Ch. 9.1 - Prob. 22PS Ch. 9.1 - Prob. 23PS Ch. 9.1 - Prob. 24PS Ch. 9.1 - Prob. 25PS Ch. 9.1 - Prob. 26PS Ch. 9.1 - Prob. 27PS Ch. 9.1 - Prob. 28PS Ch. 9.1 - Prob. 29PS Ch. 9.1 - Prob. 30PS Ch. 9.1 - Prob. 31PS Ch. 9.1 - Prob. 32PS Ch. 9.1 - HISTORICAL QUEST Travelers Dodecahedron This...Ch. 9.1 - HISTORICAL QUEST Is there an Euler circuit for the...Ch. 9.1 - Prob. 35PS Ch. 9.1 - Prob. 36PS Ch. 9.1 - Prob. 37PS Ch. 9.1 - Prob. 38PS Ch. 9.1 - Prob. 39PS Ch. 9.1 - Prob. 40PS Ch. 9.1 - The edges of a cube form a three-dimensional...Ch. 9.1 - A saleswoman wants to visit eastern cities, New...Ch. 9.1 - Prob. 43PS Ch. 9.1 - Prob. 44PS Ch. 9.1 - Repeat Problem 44 using the brute-force method....Ch. 9.1 - Count the number of vertices, edges arcs, and...Ch. 9.1 - The saleswoman in Problem 42 needs to add Atlanta...Ch. 9.1 - A quality control inspector must visit franchises...Ch. 9.1 - Prob. 49PS Ch. 9.1 - Prob. 50PS Ch. 9.1 - On a planet far, far away, Luke finds himself in a...Ch. 9.1 - How many paths are there to room n in Problem 51?...Ch. 9.1 - Emil Torday told the story of seeing some African...Ch. 9.1 - Prob. 54PS Ch. 9.1 - Prob. 55PS Ch. 9.1 - Prob. 56PS Ch. 9.1 - Prob. 57PS Ch. 9.1 - Prob. 58PS Ch. 9.1 - Prob. 59PS Ch. 9.1 - Prob. 60PS Ch. 9.2 - Prob. 1PS Ch. 9.2 - Prob. 2PS Ch. 9.2 - Prob. 3PS Ch. 9.2 - Prob. 4PS Ch. 9.2 - Prob. 5PS Ch. 9.2 - Prob. 6PS Ch. 9.2 - Prob. 7PS Ch. 9.2 - Prob. 8PS Ch. 9.2 - Prob. 9PS Ch. 9.2 - Prob. 10PS Ch. 9.2 - Prob. 11PS Ch. 9.2 - Prob. 12PS Ch. 9.2 - Prob. 13PS Ch. 9.2 - Prob. 14PS Ch. 9.2 - Prob. 15PS Ch. 9.2 - Prob. 16PS Ch. 9.2 - Prob. 17PS Ch. 9.2 - Prob. 18PS Ch. 9.2 - Prob. 19PS Ch. 9.2 - Prob. 20PS Ch. 9.2 - Prob. 21PS Ch. 9.2 - Prob. 22PS Ch. 9.2 - Prob. 23PS Ch. 9.2 - Prob. 24PS Ch. 9.2 - Prob. 25PS Ch. 9.2 - Prob. 26PS Ch. 9.2 - Prob. 27PS Ch. 9.2 - Prob. 28PS Ch. 9.2 - Prob. 29PS Ch. 9.2 - Prob. 30PS Ch. 9.2 - Prob. 31PS Ch. 9.2 - Prob. 32PS Ch. 9.2 - Prob. 33PS Ch. 9.2 - Prob. 34PS Ch. 9.2 - Prob. 35PS Ch. 9.2 - Prob. 36PS Ch. 9.2 - Prob. 37PS Ch. 9.2 - Prob. 38PS Ch. 9.2 - Prob. 39PS Ch. 9.2 - Prob. 40PS Ch. 9.2 - Prob. 41PS Ch. 9.2 - Prob. 42PS Ch. 9.2 - Prob. 43PS Ch. 9.2 - Prob. 44PS Ch. 9.2 - Prob. 45PS Ch. 9.2 - Prob. 46PS Ch. 9.2 - Prob. 47PS Ch. 9.2 - Prob. 48PS Ch. 9.2 - Prob. 49PS Ch. 9.2 - Suppose you wish to install a drip sprinkler...Ch. 9.2 - Prob. 51PS Ch. 9.2 - Prob. 52PS Ch. 9.2 - Prob. 53PS Ch. 9.2 - Prob. 54PS Ch. 9.2 - Prob. 55PS Ch. 9.2 - Prob. 56PS Ch. 9.2 - Prob. 57PS Ch. 9.2 - Prob. 58PS Ch. 9.2 - Prob. 59PS Ch. 9.2 - Prob. 60PS Ch. 9.3 - Prob. 1PS Ch. 9.3 - Prob. 2PS Ch. 9.3 - Prob. 3PS Ch. 9.3 - IN YOUR OWN WORDS What is a tessellation?Ch. 9.3 - Prob. 5PS Ch. 9.3 - Prob. 6PS Ch. 9.3 - Prob. 7PS Ch. 9.3 - Prob. 8PS Ch. 9.3 - Prob. 9PS Ch. 9.3 - Prob. 10PS Ch. 9.3 - Prob. 11PS Ch. 9.3 - Prob. 12PS Ch. 9.3 - Prob. 13PS Ch. 9.3 - Prob. 14PS Ch. 9.3 - Prob. 15PS Ch. 9.3 - Prob. 16PS Ch. 9.3 - Prob. 17PS Ch. 9.3 - Prob. 18PS Ch. 9.3 - Prob. 19PS Ch. 9.3 - Prob. 20PS Ch. 9.3 - Prob. 21PS Ch. 9.3 - Prob. 22PS Ch. 9.3 - Prob. 23PS Ch. 9.3 - Prob. 24PS Ch. 9.3 - Prob. 25PS Ch. 9.3 - Prob. 26PS Ch. 9.3 - Prob. 27PS Ch. 9.3 - Prob. 28PS Ch. 9.3 - Prob. 29PS Ch. 9.3 - Group the letters of the alphabet in the fonts...Ch. 9.3 - Prob. 31PS Ch. 9.3 - Prob. 32PS Ch. 9.3 - Prob. 33PS Ch. 9.3 - Prob. 34PS Ch. 9.3 - Prob. 35PS Ch. 9.3 - Prob. 36PS Ch. 9.3 - Prob. 37PS Ch. 9.3 - Prob. 38PS Ch. 9.3 - Prob. 39PS Ch. 9.3 - Prob. 40PS Ch. 9.3 - Prob. 41PS Ch. 9.3 - Prob. 42PS Ch. 9.3 - Prob. 43PS Ch. 9.3 - Prob. 44PS Ch. 9.3 - Prob. 45PS Ch. 9.3 - Prob. 46PS Ch. 9.3 - Prob. 47PS Ch. 9.3 - Prob. 48PS Ch. 9.3 - Prob. 49PS Ch. 9.3 - Prob. 50PS Ch. 9.3 - Prob. 51PS Ch. 9.3 - Prob. 52PS Ch. 9.3 - Prob. 53PS Ch. 9.3 - Prob. 54PS Ch. 9.3 - Prob. 55PS Ch. 9.3 - Prob. 56PS Ch. 9.3 - Prob. 57PS Ch. 9.3 - Prob. 58PS Ch. 9.3 - Prob. 59PS Ch. 9.3 - Prob. 60PS Ch. 9.CR - Prob. 1CR Ch. 9.CR - Prob. 2CR Ch. 9.CR - Prob. 3CR Ch. 9.CR - Prob. 4CR Ch. 9.CR - Prob. 5CR Ch. 9.CR - Prob. 6CR Ch. 9.CR - Prob. 7CR Ch. 9.CR - Prob. 8CR Ch. 9.CR - Prob. 9CR Ch. 9.CR - Prob. 10CR Ch. 9.CR - Prob. 11CR Ch. 9.CR - Prob. 12CR Ch. 9.CR - Prob. 13CR Ch. 9.CR - Prob. 14CR Ch. 9.CR - Prob. 15CR Ch. 9.CR - Prob. 16CR Ch. 9.CR - Prob. 17CR Ch. 9.CR - Prob. 18CR Ch. 9.CR - Prob. 19CR Ch. 9.CR - Prob. 20CR

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Solution Summary: The author explains how Luke is in a strange building with hexagon-shaped rooms. The number of paths follows the Fibonacci sequence.

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