Book cover for Finite Mathematics and Calculus with Applications

Finite Mathematics and Calculus with Applications

Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

ISBN #9780321749086

9th Edition

4,928 Questions

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259,925 Students Helped

Homework Questions

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Summary

Finite Mathematics and Calculus with Applications offers a comprehensive journey through fundamental algebra and calculus concepts, starting with essential algebraic techniques and progressing to advanced topics such as multivariable calculus and probability models. The text emphasizes practical applications, using linear functions, systems of equations, and programming methods to build a solid foundation before moving into complex optimization and integration techniques. It integrates theoretical principles with real-world scenarios in finance, economics, engineering, and the physical sciences, showcasing how precise mathematical models can solve practical problems. Throughout the book, key themes include problem-solving, analytical reasoning, and the translation of mathematical ideas into applications that address everyday challenges.

Chapters & Topics Covered

Chapter 0

Algebra Reference

Chapter 1

Linear Functions

Chapter 2

Systems of Linear Equations and Matrices

Chapter 3

Linear Programming:The Graphical Method

Chapter 4

Linear Programming:The Simplex Method

Chapter 5

Mathematics of Finance

Chapter 6

Logic

Chapter 7

Sets and Probability

Chapter 8

Counting Principles; Further Probability Topics

Chapter 9

Statistics

Chapter 10

Nonlinear Functions

Chapter 11

The Derivative

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Chapter 12

Calculating the Derivative

Chapter 13

Graphs and the Derivative

Chapter 14

Applications of the Derivative

Chapter 15

Integration

Chapter 16

Further Techniques and Applications of Integration

Chapter 17

Multivariable Calculus

Chapter 18

Probability and Calculus

Popular Video Solutions

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Problem 1

For two events $M$ and $N, P(M)=0.4, P(N | M)=0.3,$ and $P\left(N | M^{\prime}\right)=0.4 .$ Find the following. $P(M | N)$

Lauren Shelton

Lauren Shelton   Numerade Educator

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Problem 2

For each experiment described below, let $x$ determine a random variable, and use your knowledge of probability to prepare a probability distribution. Four coins are tossed, and the number of heads is noted.

Bobby Barnes

Bobby Barnes   Numerade Educator

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Problem 3

The peak in a normal curve occurs directly above ___________.

Linh Vu

Linh Vu   Numerade Educator

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Problem 4

What is meant by a “fair” coin or die?

Amy Jiang

Amy Jiang   Numerade Educator

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Problem 5

Do the following: a. Group the data as indicated. b. Prepare a frequency distribution with a column for intervals and frequencies. c. Construct a histogram. d. Construct a frequency polygon. Use six intervals, starting with 0–24. $\begin{array}{rrrrrr}{7} & {105} & {116} & {73} & {129} & {26} \\ {29} & {44} & {126} & {82} & {56} & {137} \\ {43} & {73} & {65} & {141} & {79} & {74} \\ {121} & {12} & {46} & {37} & {85} & {82} \\ {2} & {99} & {85} & {95} & {90} & {38} \\ {86} & {147} & {32} & {84} & {13} & {100}\end{array}$

Ryan Mcalister

Ryan Mcalister   Numerade Educator

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Problem 6

Suppose that a family has 5 children. Also, suppose that the probability of having a girl is 1$/ 2 .$ Find the probabilities that the family has the following children. Exactly 2 girls and 3 boys

Foster Wisusik

Foster Wisusik   Numerade Educator

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