Explanation Formula used: Formula for the cardinality of the union of two sets : For any two sets X and Y , | X ∪ Y | = | X | + | Y | − | X ∩ Y | , where | X | + | Y | is the elements in the intersection are counted twice and | X ∩ Y | corrects for the error introduced by counting those elements in the intersection twice

Nature of Mathematics (MindTap Course List)

13th Edition

ISBN: 9781133947257

Author: karl J. smith

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 2.2, Problem 5PS

To determine

To explain:

The condition in which the formula |X∪Y|=|X|+|Y| is true.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 2.2, Problem 4PS

Chapter 2.2, Problem 6PS

Students have asked these similar questions

Microsoft Excel snapshot for random sampling: Also note the formula used for the last column 02 x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51)) A B 1 No. States 2 1 ALABAMA Rand No. 0.925957526 3 2 ALASKA 0.372999976 4 3 ARIZONA 0.941323044 5 4 ARKANSAS 0.071266381 Random Sample CALIFORNIA NORTH CAROLINA ARKANSAS WASHINGTON G7 Microsoft Excel snapshot for systematic sampling: xfx INDEX(SD52:50551, F7) A B E F G 1 No. States Rand No. Random Sample population 50 2 1 ALABAMA 0.5296685 NEW HAMPSHIRE sample 10 3 2 ALASKA 0.4493186 OKLAHOMA k 5 4 3 ARIZONA 0.707914 KANSAS 5 4 ARKANSAS 0.4831379 NORTH DAKOTA 6 5 CALIFORNIA 0.7277162 INDIANA Random Sample Sample Name 7 6 COLORADO 0.5865002 MISSISSIPPI 8 7:ONNECTICU 0.7640596 ILLINOIS 9 8 DELAWARE 0.5783029 MISSOURI 525 10 15 INDIANA MARYLAND COLORADO

The spread of an infectious disease is often modeled using the following autonomous differential equation: dI - - BI(N − I) − MI, dt where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of transmission, and μ is the rate at which people recover from infection. Close a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria. b) (5 points) For the equilbria in part a), determine whether each is stable or unstable. c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the dt function by hand.) Identify the equilibria as stable or unstable in the graph. d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.

Find the indefinite integral. Check Answer: 7x 4 + 1x dx

Chapter 2 Solutions

Nature of Mathematics (MindTap Course List)

Ch. 2.1 - Prob. 1PS Ch. 2.1 - IN YOUR OWN WORDS Distinguish between equal and...Ch. 2.1 - Prob. 3PS Ch. 2.1 - Prob. 4PS Ch. 2.1 - Tell whether each set in Problems 5-8 is well...Ch. 2.1 - Prob. 6PS Ch. 2.1 - Tell whether each set in Problems 5-8 is well...Ch. 2.1 - Tell whether each set in Problems 5-8 is well...Ch. 2.1 - Specify the sets in Problems 9-14 by roster. a....Ch. 2.1 - Specify the sets in Problems 9-14 by roster. a....

Ch. 2.1 - Prob. 11PS Ch. 2.1 - Prob. 12PS Ch. 2.1 - Specify the sets in Problems 9-14 by roster. a....Ch. 2.1 - Specify the sets in Problems 9-14 by roster. a....Ch. 2.1 - Prob. 15PS Ch. 2.1 - Prob. 16PS Ch. 2.1 - Prob. 17PS Ch. 2.1 - Prob. 18PS Ch. 2.1 - Prob. 19PS Ch. 2.1 - Prob. 20PS Ch. 2.1 - Prob. 21PS Ch. 2.1 - Prob. 22PS Ch. 2.1 - Prob. 23PS Ch. 2.1 - Prob. 24PS Ch. 2.1 - Prob. 25PS Ch. 2.1 - Prob. 26PS Ch. 2.1 - Prob. 27PS Ch. 2.1 - Prob. 28PS Ch. 2.1 - Prob. 29PS Ch. 2.1 - Prob. 30PS Ch. 2.1 - Prob. 31PS Ch. 2.1 - Prob. 32PS Ch. 2.1 - Prob. 33PS Ch. 2.1 - Prob. 34PS Ch. 2.1 - Prob. 35PS Ch. 2.1 - Prob. 36PS Ch. 2.1 - Prob. 37PS Ch. 2.1 - Prob. 38PS Ch. 2.1 - Prob. 39PS Ch. 2.1 - Prob. 40PS Ch. 2.1 - Prob. 41PS Ch. 2.1 - Prob. 42PS Ch. 2.1 - Prob. 43PS Ch. 2.1 - Prob. 44PS Ch. 2.1 - Prob. 45PS Ch. 2.1 - Prob. 46PS Ch. 2.1 - Prob. 47PS Ch. 2.1 - Prob. 48PS Ch. 2.1 - Prob. 49PS Ch. 2.1 - Decide whether each statement in Problems 46-54 is...Ch. 2.1 - Prob. 51PS Ch. 2.1 - Prob. 52PS Ch. 2.1 - Prob. 53PS Ch. 2.1 - Prob. 54PS Ch. 2.1 - Prob. 55PS Ch. 2.1 - Prob. 56PS Ch. 2.1 - Prob. 57PS Ch. 2.1 - Five people plan to meet after school, and if they...Ch. 2.1 - Prob. 59PS Ch. 2.1 - Prob. 60PS Ch. 2.2 - Prob. 1PS Ch. 2.2 - Prob. 2PS Ch. 2.2 - Prob. 3PS Ch. 2.2 - Prob. 4PS Ch. 2.2 - Prob. 5PS Ch. 2.2 - Prob. 6PS Ch. 2.2 - Prob. 7PS Ch. 2.2 - Prob. 8PS Ch. 2.2 - Prob. 9PS Ch. 2.2 - Prob. 10PS Ch. 2.2 - Prob. 11PS Ch. 2.2 - Prob. 12PS Ch. 2.2 - Prob. 13PS Ch. 2.2 - Prob. 14PS Ch. 2.2 - Prob. 15PS Ch. 2.2 - Prob. 16PS Ch. 2.2 - Prob. 17PS Ch. 2.2 - Prob. 18PS Ch. 2.2 - Prob. 19PS Ch. 2.2 - Prob. 20PS Ch. 2.2 - Prob. 21PS Ch. 2.2 - Prob. 22PS Ch. 2.2 - Prob. 23PS Ch. 2.2 - Prob. 24PS Ch. 2.2 - Prob. 25PS Ch. 2.2 - Prob. 26PS Ch. 2.2 - Prob. 27PS Ch. 2.2 - Prob. 28PS Ch. 2.2 - Prob. 29PS Ch. 2.2 - Prob. 30PS Ch. 2.2 - Prob. 31PS Ch. 2.2 - Prob. 32PS Ch. 2.2 - Prob. 33PS Ch. 2.2 - Prob. 34PS Ch. 2.2 - Prob. 35PS Ch. 2.2 - Prob. 36PS Ch. 2.2 - Prob. 37PS Ch. 2.2 - Prob. 38PS Ch. 2.2 - Prob. 39PS Ch. 2.2 - Prob. 40PS Ch. 2.2 - Prob. 41PS Ch. 2.2 - Prob. 42PS Ch. 2.2 - Prob. 43PS Ch. 2.2 - Prob. 44PS Ch. 2.2 - Prob. 45PS Ch. 2.2 - Prob. 46PS Ch. 2.2 - Prob. 47PS Ch. 2.2 - Prob. 48PS Ch. 2.2 - Draw Venn diagrams for each of the relationships...Ch. 2.2 - Prob. 50PS Ch. 2.2 - Draw Venn diagrams for each of the relationships...Ch. 2.2 - Prob. 52PS Ch. 2.2 - Prob. 53PS Ch. 2.2 - Level 2 From a survey of 100 college students, a...Ch. 2.2 - Level 2 In a survey of a TriDelt chapter with 50...Ch. 2.2 - Prob. 56PS Ch. 2.2 - Prob. 57PS Ch. 2.2 - Santa Rosa Junior College enrolled 29,000 students...Ch. 2.2 - Prob. 59PS Ch. 2.2 - Prob. 60PS Ch. 2.3 - What do we mean by De Morgans laws?Ch. 2.3 - Prob. 2PS Ch. 2.3 - Prob. 3PS Ch. 2.3 - Prob. 4PS Ch. 2.3 - Prob. 5PS Ch. 2.3 - Prob. 6PS Ch. 2.3 - Prob. 7PS Ch. 2.3 - Prob. 8PS Ch. 2.3 - Prob. 9PS Ch. 2.3 - Prob. 10PS Ch. 2.3 - Prob. 11PS Ch. 2.3 - Prob. 12PS Ch. 2.3 - Prob. 13PS Ch. 2.3 - Prob. 14PS Ch. 2.3 - Prob. 15PS Ch. 2.3 - Prob. 16PS Ch. 2.3 - Prob. 17PS Ch. 2.3 - Prob. 18PS Ch. 2.3 - Prob. 19PS Ch. 2.3 - Prob. 20PS Ch. 2.3 - Prob. 21PS Ch. 2.3 - Prob. 22PS Ch. 2.3 - Prob. 23PS Ch. 2.3 - Prob. 24PS Ch. 2.3 - Prob. 25PS Ch. 2.3 - Prob. 26PS Ch. 2.3 - Prob. 27PS Ch. 2.3 - Prob. 28PS Ch. 2.3 - Prob. 29PS Ch. 2.3 - Prob. 30PS Ch. 2.3 - Prob. 31PS Ch. 2.3 - Prob. 32PS Ch. 2.3 - Prob. 33PS Ch. 2.3 - Prob. 34PS Ch. 2.3 - Prob. 35PS Ch. 2.3 - Draw a Venn diagram showing the relationship among...Ch. 2.3 - Prob. 37PS Ch. 2.3 - Prob. 38PS Ch. 2.3 - In Problems 3944, use set notation to identify the...Ch. 2.3 - In Problems 3944, use set notation to identify the...Ch. 2.3 - In Problems 3944, use set notation to identify the...Ch. 2.3 - Prob. 42PS Ch. 2.3 - Prob. 43PS Ch. 2.3 - Prob. 44PS Ch. 2.3 - Prob. 45PS Ch. 2.3 - Prob. 46PS Ch. 2.3 - Prob. 47PS Ch. 2.3 - Prob. 48PS Ch. 2.3 - Prob. 49PS Ch. 2.3 - Prob. 50PS Ch. 2.3 - In a recent survey of 100 persons, the following...Ch. 2.3 - Matt E. Matic was applying for a job. To determine...Ch. 2.3 - A poll was taken of 100 students at a commuter...Ch. 2.3 - Prob. 54PS Ch. 2.3 - Prob. 55PS Ch. 2.3 - Prob. 56PS Ch. 2.3 - The Venn diagram in Figure 2.17 shows five sets....Ch. 2.3 - Prob. 58PS Ch. 2.3 - Prob. 59PS Ch. 2.3 - Human blood is typed Rh + positive blood of Rh ...Ch. 2.4 - IN YOUR OWN WORDS Why do you think the fundamental...Ch. 2.4 - Prob. 2PS Ch. 2.4 - Prob. 3PS Ch. 2.4 - Prob. 4PS Ch. 2.4 - Prob. 5PS Ch. 2.4 - Prob. 6PS Ch. 2.4 - Prob. 7PS Ch. 2.4 - Prob. 8PS Ch. 2.4 - Prob. 9PS Ch. 2.4 - Prob. 10PS Ch. 2.4 - Prob. 11PS Ch. 2.4 - Prob. 12PS Ch. 2.4 - Prob. 13PS Ch. 2.4 - Prob. 14PS Ch. 2.4 - Prob. 15PS Ch. 2.4 - Prob. 16PS Ch. 2.4 - Prob. 17PS Ch. 2.4 - Prob. 18PS Ch. 2.4 - Prob. 19PS Ch. 2.4 - Prob. 20PS Ch. 2.4 - Prob. 21PS Ch. 2.4 - Prob. 22PS Ch. 2.4 - Prob. 23PS Ch. 2.4 - Prob. 24PS Ch. 2.4 - Prob. 25PS Ch. 2.4 - Prob. 26PS Ch. 2.4 - Prob. 27PS Ch. 2.4 - Prob. 28PS Ch. 2.4 - Prob. 29PS Ch. 2.4 - Show that the following sets have the same...Ch. 2.4 - Prob. 31PS Ch. 2.4 - Prob. 32PS Ch. 2.4 - Prob. 33PS Ch. 2.4 - Prob. 34PS Ch. 2.4 - Prob. 35PS Ch. 2.4 - Prob. 36PS Ch. 2.4 - Prob. 37PS Ch. 2.4 - Prob. 38PS Ch. 2.4 - Prob. 39PS Ch. 2.4 - Prob. 40PS Ch. 2.4 - Prob. 41PS Ch. 2.4 - Prob. 42PS Ch. 2.4 - Prob. 43PS Ch. 2.4 - Prob. 44PS Ch. 2.4 - Prob. 45PS Ch. 2.4 - Prob. 46PS Ch. 2.4 - Prob. 47PS Ch. 2.4 - Prob. 48PS Ch. 2.4 - Prob. 49PS Ch. 2.4 - Prob. 50PS Ch. 2.4 - Prob. 51PS Ch. 2.4 - Prob. 52PS Ch. 2.4 - Prob. 53PS Ch. 2.4 - Prob. 54PS Ch. 2.4 - Prob. 55PS Ch. 2.4 - Prob. 56PS Ch. 2.4 - Prob. 57PS Ch. 2.4 - Prob. 58PS Ch. 2.4 - Prob. 59PS Ch. 2.4 - Prob. 60PS Ch. 2.CR - Prob. 1CR Ch. 2.CR - Prob. 2CR Ch. 2.CR - Prob. 3CR Ch. 2.CR - Prob. 4CR Ch. 2.CR - Prob. 5CR Ch. 2.CR - Prob. 6CR Ch. 2.CR - Prob. 7CR Ch. 2.CR - Prob. 8CR Ch. 2.CR - Prob. 9CR Ch. 2.CR - Prob. 10CR Ch. 2.CR - Prob. 11CR Ch. 2.CR - Prob. 12CR Ch. 2.CR - Prob. 13CR Ch. 2.CR - Prob. 14CR Ch. 2.CR - Prob. 15CR Ch. 2.CR - Prob. 16CR Ch. 2.CR - Prob. 17CR Ch. 2.CR - Human blood is typed Rh+ positive blood or Rh...Ch. 2.CR - Prob. 19CR Ch. 2.CR - Prob. 20CR

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.