# Brief Applied Calculus 7th edition

Geoffrey C. Berresford and Andrew M. Rockett
Publisher: Cengage Learning

## Enhanced Webassign

Includes pedagogical tools such as assignable simulations, textbook examples, links to the eBook, and algorithmic solutions. Specific features vary from book to book.

## eBook

Your students can pay an additional fee for access to an online version of the textbook that might contain additional interactive features.

## Personal Study Plan Module

Your students can use chapter and section assessments to gauge their mastery of the material and generate individualized study plans that include various online, interactive multimedia resources.

## Lifetime of Edition (LOE)

Your students are allowed unlimited access to WebAssign courses that use this edition of the textbook at no additional cost.

## Course Packs

Save time with ready-to-use assignments built by subject matter experts specifically for this textbook. You can customize and schedule any of the assignments you want to use.

## Textbook Resources

Additional instructional and learning resources are available with the textbook, and might include testbanks, slide presentations, online simulations, videos, and documents.

• Berresford Brief Applied Calculus 7e

Access is contingent on use of this textbook in the instructor's classroom.

Academic Term Homework Homework and eBook
Higher Education Single Term N/A \$100.00
High School \$21.50 \$35.00

Online price per student per course or lab, bookstore price varies. Access cards can be packaged with most any textbook, please see your textbook rep or contact WebAssign

• Chapter 1: Functions
• 1.1: Real Numbers, Inequalities, and Lines (46)
• 1.2: Exponents (44)
• 1.3: Functions: Linear and Quadratic (42)
• 1.4: Functions: Polynomial, Rational, and Exponential (38)
• 1: Review Exercises and Chapter Test

• Chapter 2: Derivatives and Their Uses
• 2.1: Limits and Continuity (36)
• 2.2: Rates of Change, Slopes, and Derivatives (28)
• 2.3: Some Differentiation Formulas (30)
• 2.4: The Product and Quotient Rules (32)
• 2.5: Higher-Order Derivatives (26)
• 2.6: The Chain Rule and the Generalized Power Rule (38)
• 2.7: Nondifferentiable Functions (10)
• 2: Review Exercises and Chapter Test

• Chapter 3: Further Applications of Derivatives
• 3.1: Graphing Using the First Derivative (35)
• 3.2: Graphing Using the First and Second Derivatives (37)
• 3.3: Optimization (30)
• 3.4: Further Applications of Optimization (15)
• 3.5: Optimizing Lot Size and Harvest Size (17)
• 3.6: Implicit Differentiation and Related Rates (43)
• 3.7: Differentials, Approximations, and Marginal Analysis (19)
• 3: Review Exercises and Chapter Test
• 3: Cumulative Review for Chapters 1-3

• Chapter 4: Exponential and Logarithmic Functions
• 4.1: Exponential Functions (30)
• 4.2: Logarithmic Functions (32)
• 4.3: Differentiation of Logarithmic and Exponential Functions (50)
• 4.4: Two Applications to Economics: Relative Rates and Elasticity of Demand (27)
• 4: Review Exercises and Chapter Test

• Chapter 5: Integration and Its Applications
• 5.1: Antiderivatives and Indefinite Integrals (36)
• 5.2: Integration Using Logarithmic and Exponential Functions (32)
• 5.3: Definite Integrals and Areas (51)
• 5.4: Further Applications of Definite Integrals: Average Value and Area Between Curves (45)
• 5.5: Two Applications to Economics: Consumers' Surplus and Income Distribution (19)
• 5.6: Integration by Substitution (40)
• 5: Review Exercises and Chapter Test

• Chapter 6: Integration Techniques and Differential Equations
• 6.1: Integration by Parts (39)
• 6.2: Integration Using Tables (41)
• 6.3: Improper Integrals (36)
• 6.4: Numerical Integration (24)
• 6.5: Differential Equations (37)
• 6.6: Further Applications of Differential Equations: Three Models of Growth (30)
• 6: Review Exercises and Chapter Test

• Chapter 7: Calculus of Several Variables
• 7.1: Functions of Several Variables (24)
• 7.2: Partial Derivatives (34)
• 7.3: Optimizing Functions of Several Variables (26)
• 7.4: Least Squares (23)
• 7.5: Lagrange Multipliers and Constrained Optimization (26)
• 7.6: Total Differentials, Approximate Changes, and Marginal Analysis (24)
• 7.7: Multiple Integrals (31)
• 7: Review Exercises and Chapter Test
• 7: Cumulative Review for Chapters 1-7

Brief Applied Calculus, 7th edition is intended for a one semester applied or business calculus course. This text uses real-world applications to show students the practical side of calculus. The WebAssign enhancement to this textbook engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook.

Features
• Read It links under each question quickly jump to the corresponding section of a complete, interactive eBook that lets students highlight and take notes as they read.
• Watch It links provide step-by-step instruction with short, engaging videos that are ideal for visual learners.
• Master It Tutorials (MI) show how to solve a similar problem in multiple steps by providing direction along with derivation so students understand the concepts and reasoning behind the problem solving.
• Lecture videos are available as a textbook resource.
Use the Textbook Edition Upgrade Tool to automatically update all of your assignments from the previous edition to corresponding questions in this textbook.

## Questions Available within WebAssign

Most questions from this textbook are available in WebAssign. The online questions are identical to the textbook questions except for minor wording changes necessary for Web use. Whenever possible, variables, numbers, or words have been randomized so that each student receives a unique version of the question. This list is updated nightly.

##### Question Group Key
MI - Master It Tutorial

##### Question Availability Color Key
BLACK questions are available now
GRAY questions are under development

Group Quantity Questions
Chapter 1: Functions
1.1 46 Diagnostic.001 Diagnostic.002 Diagnostic.003 Diagnostic.004 Diagnostic.005 Diagnostic.006 Diagnostic.007 Diagnostic.008 Diagnostic.009 Diagnostic.010 001.MI 001.MI.SA 003 005 007 009 011 013 015 017 019 021 023 025 027 029 031 033 035 037.MI 037.MI.SA 041.MI 041.MI.SA 043 047 049.MI 049.MI.SA 051 053.SBS 055 057 063 065 072 079 083
1.2 44 001 003 005 007 009 011 013.MI 013.MI.SA 015 017 019 021 023 025 027 029 031 033 035 039 041 043 045.MI 045.MI.SA 051 053 057 059.MI 059.MI.SA 061 071 079 083 085.MI 085.MI.SA 087 089 091 093 095 101 103 105 115
1.3 42 001 003 005 009 011 013 015 017 021 025.MI 025.MI.SA 027 029 031 033 035.MI 035.MI.SA 037 041 043.MI 043.MI.SA 045 047 049 051 053 057 061 063 065 067 071 073.MI 073.MI.SA 075 077 079 081 087 091 093 097
1.4 38 001 005 007 009 011.MI 011.MI.SA 015 017 019.MI 019.MI.SA 021 023 027 029 031 033 035 037 039 041 047 049 051.MI 051.MI.SA 055 057.MI 057.MI.SA 059 061 063 065 069 071 077 079 081 083 089
Chapter 2: Derivatives and Their Uses
2.1 36 003 005 009 011 013 015.MI 015.MI.SA 019 021 023.MI 023.MI.SA 025 027 029 031.MI 031.MI.SA 033 035 037 039 041 043 045 047 049 051 053 055 059 063 065 067.MI 067.MI.SA 069 081 083
2.2 28 001 002 005 007 009.MI 009.MI.SA 011 013 015 017.MI 017.MI.SA 019 021 023.MI 023.MI.SA 025 027 033 037 039.MI 039.MI.SA 043 045 047 049 055 057 059
2.3 30 003 005.MI 005.MI.SA 007 009 011 013 015 017 021.MI 021.MI.SA 025.MI 025.MI.SA 027 029 031 033 037.MI 037.MI.SA 041 047 049 053 055 057 059 061 063 065 069
2.4 32 003 005 007 009 011 015 017 019 021 023 025.MI 025.MI.SA 027 029.MI 029.MI.SA 031 035 037 041 043.MI 043.MI.SA 049 051 053 055.MI 055.MI.SA 059 061 065 067 079 081
2.5 26 001 003 005 007 009.MI 009.MI.SA 011 013 015 017 019 021 023 025.MI 025.MI.SA 027.MI 027.MI.SA 031 033 035 037 041.MI 041.MI.SA 043 047 049
2.6 38 001 003 005 007 009 011 013 015.MI 015.MI.SA 017 019 021 023 025 027 029 031 033.MI 033.MI.SA 035 037 039 041 043.MI 043.MI.SA 047 049 051 053 055 057 059 061 063.MI 063.MI.SA 067 071 075
2.7 10 001 003 005 007.MI 007.MI.SA 009 011 016 017 018
Chapter 3: Further Applications of Derivatives
3.1 35 001 003 005 007 009 011.MI 011.MI.SA 013 015 017 019 021 023 025 027 029 031 033 035 037 039.MI 039.MI.SA 041 043 045 047 051 057 059 065.MI 065.MI.SA 067 071 073 075
3.2 37 001 003 005 007 009 011.MI 011.MI.SA 013 015 017 019 021 023.MI 023.MI.SA 025 027 029.MI 029.MI.SA 031 033 035 037 039 041.MI 041.MI.SA 043 045 047 057 059 061 065 067 069 071 073 081
3.3 30 001 003 005 007.MI 007.MI.SA 009 011 013 015 017 019.MI 019.MI.SA 021 025 027 029 031 033 035.MI 035.MI.SA 037 039 041 043 045 047 049 051 055 061
3.4 15 001.MI 001.MI.SA 003 005 007.MI 007.MI.SA 009.MI 009.MI.SA 011 012 013 015 017 019 021
3.5 17 001.MI 001.MI.SA 003.MI 003.MI.SA 005 007.MI 007.MI.SA 009 011 013 015 017.MI 017.MI.SA 019 021 023 025
3.6 43 001 003 005 007 009 011 013 014 015 017.MI 017.MI.SA 019 021 023 025 027.MI 027.MI.SA 029 031 033 035 037 039 041 043 045.MI 045.MI.SA 047 049 051 053 055 057 059.MI 059.MI.SA 061 063 065 067 069 071 075 079
3.7 19 001 003 005 007 009 011 013 015 017 019 021 023 025 027 029 031 033 035 037
Chapter 4: Exponential and Logarithmic Functions
4.1 30 001 003 005 007 009 013.MI 013.MI.SA 015 016 019.MI 019.MI.SA 021 023 025 027.MI 027.MI.SA 030 031 033 035 037 039.MI 039.MI.SA 041 043 045 047 051 053 059
4.2 32 001 003.MI 003.MI.SA 005 007 009 011.MI 011.MI.SA 013 015 017.MI 017.MI.SA 019 021.MI 021.MI.SA 023 025 027.MI 027.MI.SA 029 031 033 035 037 039 041 043 045 047 049 051 053
4.3 50 001.MI 001.MI.SA 003 005 007 009 011.MI 011.MI.SA 013 015.MI 015.MI.SA 017 019 021 025 027 031.MI 031.MI.SA 033 037 039.MI 039.MI.SA 041 043 045.MI 045.MI.SA 047 049 051 053 055 057 059.MI 059.MI.SA 061 069 071 073 075 077 079 081 083 085 087 089 091 093 101 103
4.4 27 001 003 005 007 009.MI 009.MI.SA 011 013 015.MI 015.MI.SA 017 019 021.MI 021.MI.SA 023 025 027 029 031 033 035.MI 035.MI.SA 037 041 043 047 049
Chapter 5: Integration and Its Applications
5.1 36 001 003 005 007.MI 007.MI.SA 009 011 013 015.MI 015.MI.SA 017.MI 017.MI.SA 019 021 023 025 027 029.MI 029.MI.SA 031 033 035 037.MI 037.MI.SA 039 041 043 045.MI 045.MI.SA 047 049 051 053 055 061 065
5.2 32 001 003 005 007 009 011.MI 011.MI.SA 013 015 017 019 021 023 025.MI 025.MI.SA 027 029 031 033.MI 033.MI.SA 035 037 039 041.MI 041.MI.SA 043 045 047 049 051 053 055
5.3 51 001 003 005.MI 005.MI.SA 007.MI 007.MI.SA 009 011 013 015 017 019 021 023 025 027 029.MI 029.MI.SA 031.MI 031.MI.SA 033 035 037 039 041 043 045 047.MI 047.MI.SA 051 053 055 059 061 065.MI 065.MI.SA 067 069 071 073 075 077 079.MI 079.MI.SA 081 083 085 087 093 095 099
5.4 45 001 003.MI 003.MI.SA 005.MI 005.MI.SA 007 009 011.MI 011.MI.SA 013 015.MI 015.MI.SA 017 019 021 023 025 027 029 031 033 035 037 039.MI 039.MI.SA 041 043 045.MI 045.MI.SA 047 049 051.MI 051.MI.SA 053 055 057 059 061 063.MI 063.MI.SA 065 067 077 081 083
5.5 19 001.MI 001.MI.SA 003 005 007 009 011.MI 011.MI.SA 013 015 017 019 021 023.MI 023.MI.SA 025 027 029 043
5.6 40 001 003 005 007.MI 007.MI.SA 013 015 017 019.MI 019.MI.SA 021 023 025 027.MI 027.MI.SA 029 031 033 035.MI 035.MI.SA 037 039 041 043.MI 043.MI.SA 045 049.MI 049.MI.SA 051 055 057 065.MI 065.MI.SA 067 069 071 073 075 079 083
Chapter 6: Integration Techniques and Differential Equations
6.1 39 001 005 007 009.MI 009.MI.SA 011 013 015 017.MI 017.MI.SA 019 021.MI 021.MI.SA 023 025 027 029 031 033.MI 033.MI.SA 035 037 041.MI 041.MI.SA 043.MI 043.MI.SA 045 047 049 051 053 055 057.MI 057.MI.SA 058 062 063 067 071
6.2 41 001 003 005 007.MI 007.MI.SA 009 011 013 015.MI 015.MI.SA 017 021.MI 021.MI.SA 023 025 027 029 031 033 035 037 039 041 043 045 047 050 051 053 055 057.MI 057.MI.SA 059 061 063 065 067.MI 067.MI.SA 071 075 077
6.3 36 001 003 005 007 009 011 013 015 017.MI 017.MI.SA 019 021 023 025.MI 025.MI.SA 027 029 031 033 035.MI 035.MI.SA 037.MI 037.MI.SA 039 043 045 047.MI 047.MI.SA 049 051 052 055 057 059 061 065
6.4 24 001.MI 001.MI.SA 003 005 007.MI 007.MI.SA 009 011 013 015 017 019 021.MI 021.MI.SA 023.MI 023.MI.SA 025 027 029 031 033 035 037 041
6.5 37 001 004 005 007 009 011 013 015 017 019 021 023 025.MI 025.MI.SA 027 029 031 033 035 037.MI 037.MI.SA 039 041 043 047 049 051 053.MI 053.MI.SA 055 057 059 061 065 069 073 077
6.6 30 001 003 005 007 009 011 013 015 017 019.MI 019.MI.SA 021 023 025 027 031 033 035 037 039 041 043 045.MI 045.MI.SA 047 049.MI 049.MI.SA 051 055 059
Chapter 7: Calculus of Several Variables
7.1 24 001 005 007 009.MI 009.MI.SA 011 013 015 017 019 021.MI 021.MI.SA 023 025 027.MI 027.MI.SA 029 031 033 035 037 041 047 049
7.2 34 001.MI 001.MI.SA 003 005 007 009.MI 009.MI.SA 011 013 015 017 019 021 023.MI 023.MI.SA 025 027 029 031 033.MI 033.MI.SA 035 037 039 041.MI 041.MI.SA 043 045 047 049 053 055 059 063
7.3 26 001 003 005.MI 005.MI.SA 007 009 011 013.MI 013.MI.SA 015 017 019 021.MI 021.MI.SA 023 025 027 029.MI 029.MI.SA 031 033 035 037 039 041 045
7.4 23 001.MI 001.MI.SA 003 005 007 009.MI 009.MI.SA 011 012 015 017 019 021.MI 021.MI.SA 023 025.MI 025.MI.SA 027 029 031 033 035 037
7.5 26 001.MI 001.MI.SA 003 005 007.MI 007.MI.SA 009 011 013 015 017 019 021 023.MI 023.MI.SA 025 027 029 034 035 037 039 041 043 045 049
7.6 24 001 003 006 008 009.MI 009.MI.SA 011 013 015 017 019.MI 019.MI.SA 021 023 025 027.MI 027.MI.SA 029 031 033 035 037 039 041
7.7 31 001 003 005 007 009 011.MI 011.MI.SA 013 015 017 019 021 023 025 027.MI 027.MI.SA 029 031 033 035 037.MI 037.MI.SA 039 041 043 045.MI 045.MI.SA 046 047 051 055
Total 1323