Applied Calculus 5th edition

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Deborah Hughes-Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, et al.
Publisher: John Wiley & Sons

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  • Chapter 1: Functions and Change
    • 1.1: What Is a Function? (17)
    • 1.2: Linear Functions (21)
    • 1.3: Average Rate of Change and Relative Change (24)
    • 1.4: Applications of Functions to Economics (18)
    • 1.5: Exponential Functions (20)
    • 1.6: The Natural Logarithm (27)
    • 1.7: Exponential Growth and Decay (20)
    • 1.8: New Functions from Old (15)
    • 1.9: Proportionality and Power Functions (4)
    • 1.10: Periodic Functions (6)
    • 1: Review Problems (11)
    • 1: Strengthen Your Understanding
    • 1: Projects

  • Chapter 2: Rate of Change: The Derivative
    • 2.1: Instantaneous Rate of Change (15)
    • 2.2: The Derivative Function (18)
    • 2.3: Interpretations of the Derivative (26)
    • 2.4: The Second Derivative (17)
    • 2.5: Marginal Cost and Revenue (12)
    • 2: Review Problems (9)
    • 2: Strengthen Your Understanding
    • 2: Projects
    • 2: Focus on Theory: Limits, Continuity, and the Definition of the Derivative

  • Chapter 3: Shortcuts to Differentiation
    • 3.1: Derivative Formulas for Powers and Polynomials (36)
    • 3.2: Exponential and Logarithmic Functions (30)
    • 3.3: The Chain Rule (19)
    • 3.4: The Product and Quotient Rules (23)
    • 3.5: Derivatives of Periodic Functions (8)
    • 3: Review Problems (14)
    • 3: Strengthen Your Understanding
    • 3: Projects
    • 3: Focus on Theory: Establishing the Derivative Formulas
    • 3: Focus on Practice (3)

  • Chapter 4: Using the Derivative
    • 4.1: Local Maxima and Minima (19)
    • 4.2: Inflection Points (16)
    • 4.3: Global Maxima and Minima (15)
    • 4.4: Profit, Cost, and Revenue (23)
    • 4.5: Average Cost (7)
    • 4.6: Elasticity of Demand (11)
    • 4.7: Logistic Growth (1)
    • 4.8: The Surge Function and Drug Concentration
    • 4: Review Problems (11)
    • 4: Strengthen Your Understanding
    • 4: Projects

  • Chapter 5: Accumulated Change: The Definite Integral
    • 5.1: Distance and Accumulated Change (8)
    • 5.2: The Definite Integral (9)
    • 5.3: The Definite Integral as Area (5)
    • 5.4: Interpretations of the Definite Integral (9)
    • 5.5: Total Change and the Fundamental Theorem of Calculus
    • 5.6: Average Value (5)
    • 5: Review Problems (14)
    • 5: Strengthen Your Understanding
    • 5: Projects
    • 5: Focus on Theory: Theorems about Definite Integrals (2)

  • Chapter 6: Antiderivatives and Applications
    • 6.1: Analyzing Antiderivatives Graphically and Numerically (3)
    • 6.2: Antiderivatives and the Indefinite Integral (19)
    • 6.3: Using the Fundamental Theorem to Find Definite Integrals (7)
    • 6.4: Application: Consumer and Producer Surplus
    • 6.5: Application: Present and Future Value
    • 6.6: Integration by Substitution (31)
    • 6.7: Integration by Parts (20)
    • 6: Review Problems (21)
    • 6: Strengthen Your Understanding
    • 6: Projects
    • 6: Focus on Practice

  • Chapter 7: Probability
    • 7.1: Density Functions (3)
    • 7.2: Cumulative Distribution Functions and Probability (11)
    • 7.3: The Median and the Mean (5)
    • 7: Review Problems (4)
    • 7: Strengthen Your Understanding
    • 7: Projects

  • Chapter 8: Functions of Several Variables
    • 8.1: Understanding Functions of Two Variables (8)
    • 8.2: Contour Diagrams (6)
    • 8.3: Partial Derivatives (13)
    • 8.4: Computing Partial Derivatives Algebraically (15)
    • 8.5: Critical Points and Optimization (11)
    • 8.6: Constrained Optimization (7)
    • 8: Review Problems (7)
    • 8: Strengthen Your Understanding
    • 8: Projects
    • 8: Focus on Theory: Deriving the Formula for a Regression Line

  • Chapter 9: Mathematical Modeling Using Differential Equations
    • 9.1: Mathematical Modeling: Setting up a Differential Equation (2)
    • 9.2: Solutions of Differential Equations (4)
    • 9.3: Slope Fields (3)
    • 9.4: Exponential Growth and Decay (4)
    • 9.5: Applications and Modeling (5)
    • 9.6: Modeling the Interaction of Two Populations (9)
    • 9.7: Modeling the Spread of a Disease
    • 9: Review Problems (8)
    • 9: Strengthen Your Understanding
    • 9: Projects
    • 9: Focus on Theory: Separation of Variables (14)

  • Chapter 10: Geometric Series
    • 10.1: Geometric Series (8)
    • 10.2: Applications to Business and Economics (1)
    • 10.3: Applications to the Natural Sciences
    • 10: Review Problems (1)
    • 10: Strengthen Your Understanding
    • 10: Projects

  • Chapter A: Appendix
    • A.A: Fitting Formulas to Data
    • A.B: Compound Interest and the Number e
    • A.C: Spreadsheet Projects

  • Chapter PT: Pretest
    • PT: Problems for a Pretest
    • PT: Problems on Trigonometry


The fifth edition of Applied Calculus by Deborah Hughes-Hallett, Patti Frazer Lock, Andrew M. Gleason, and Daniel E. Flath includes a focus on creative conceptual and modeling problems. This text provides students with the deeper skills needed to apply calculus on the job and highlights connections with real-world concerns. The WebAssign component for this textbook gives students immediate feedback, provides worked solutions on select questions, and includes links to the complete eBook.

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
R - Review
FT - Focus on Theory
FP - Focus on Practice


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


Group Quantity Questions
Chapter 1: Functions and Change
1.R 11 001 013 014 015 025 032 043 045 053 054 055
1.1 17 001 009 010 011 012 013 014 015 016 017 018 019 020 021 024 025 031
1.2 21 001 002 003 004 005 006 007 008 011 012 013 014 016 017 018 019 020 021 022 024 026
1.3 24 001 002 003 004 005 007 010 011 012 014 017 018 020 021 025 027 032 033 044 046 048 051 054 055
1.4 18 002 003 004 005 008 011 012 013 014 015 016 019 021 025 026 027 034 036
1.5 20 001 002 003 006 007 008 009 010 012 013 015 019 025 027 028 030 032 034 035 036
1.6 27 001 003 005 007 009 011 017 018 019 020 021 022 023 025 026 027 028 031 032 033 035 036 037 040 041 042 048
1.7 20 001 003 004 005 006 007 008 009 012 014 022 024 031 033 035 038 039 040 041 042
1.8 15 005 006 007 010 017 026 027 028 031 032 033 044 055 056 057
1.9 4 013 014 015 023
1.10 6 018 020 024 026 029 030
Chapter 2: Rate of Change: The Derivative
2.R 9 007 021 025 032 033 034 039 041 049
2.1 15 001 003 004 005 006 007 010 011 012 014 015 017 020 021 023
2.2 18 001 002 006 009 010 012 013 016 017 018 019 020 021 026 027 028 029 030
2.3 26 002 004 005 006 007 008 009 011 012 013 014 015 017 019 022 028 030 032 035 036 037 038 039 040 042 052
2.4 17 001 002 004 005 006 007 008 009 010 013 017 020 021 023 027 029 030
2.5 12 001 002 003 004 006 007 008 009 010 011 013 014
Chapter 3: Shortcuts to Differentiation
3.FP 3 037 041 044
3.R 14 020 032 035 037 043 045 048 052 055 062 071 076 078 079
3.1 36 001 003 004 005 006 007 009 011 012 013 015 017 019 021 022 023 025 026 027 031 037 040 042 043 047 048 049 050 051 057 060 061 062 063 064 065
3.2 30 001 002 003 004 005 006 007 008 009 011 013 015 017 019 021 023 025 036 039 040 041 042 043 044 045 046 049 051 053 055
3.3 19 001 002 003 004 006 008 009 010 011 012 013 015 016 017 023 036 038 043 049
3.4 23 003 004 005 006 007 009 011 013 015 016 017 019 021 022 023 025 027 033 034 038 039 040 042
3.5 8 003 008 014 015 016 022 026 027
Chapter 4: Using the Derivative
4.R 11 001 002 008 009 018 019 032 033 049 065 068
4.1 19 001 002 003 004 007 014 015 016 018 020 021 022 023 024 028 029 030 034 037
4.2 16 001 002 004 008 009 013 017 021 022 023 024 025 026 038 039 040
4.3 15 002 003 016 022 026 031 032 033 035 036 037 039 043 046 047
4.4 23 001 002 003 006 007 008 009 010 011 012 013 014 015 016 017 019 021 022 024 026 027 028 031
4.5 7 002 003 004 005 008 009 011
4.6 11 001 002 003 004 006 007 008 009 010 011 012
4.7 1 012
Chapter 5: Accumulated Change: The Definite Integral
5.FT 2 006 007
5.R 14 001 002 006 007 008 009 013 019 020 021 024 025 044 052
5.1 8 002 004 008 010 016 017 030 031
5.2 9 005 007 008 010 012 013 022 030 031
5.3 5 003 011 013 021 022
5.4 9 001 002 003 004 005 008 022 034 040
5.6 5 003 004 010 017 019
Chapter 6: Antiderivatives and Applications
6.R 21 001 002 003 010 012 014 016 028 029 036 041 042 046 056 059 064 065 066 067 068 069
6.1 3 016 021 026
6.2 19 014 015 016 017 026 028 029 030 037 046 047 048 050 056 057 058 063 069 072
6.3 7 006 010 015 018 026 030 033
6.6 31 001 012 013 014 016 017 021 022 023 024 025 026 027 029 030 034 038 041 042 043 044 046 047 048 052 055 056 058 059 060 065
6.7 20 001 002 003 004 005 006 007 008 009 010 012 013 014 018 021 022 023 024 025 026
Chapter 7: Probability
7.R 4 007 012 018 020
7.1 3 007 008 018
7.2 11 005 006 007 008 009 010 012 018 019 020 021
7.3 5 003 004 007 009 010
Chapter 8: Functions of Several Variables
8.R 7 009 010 016 018 030 034 040
8.1 8 001 004 005 006 009 011 013 014
8.2 6 001 010 013 019 024 031
8.3 13 001 003 004 005 006 007 008 010 013 017 018 023 024
8.4 15 001 002 003 005 007 010 014 015 018 020 021 024 026 027 037
8.5 11 002 006 007 008 013 014 015 018 019 020 021
8.6 7 001 003 007 008 012 014 025
Chapter 9: Mathematical Modeling Using Differential Equations
9.FT 14 001 002 003 004 005 006 007 008 009 010 011 012 013 019
9.R 8 001 008 011 017 022 025 028 029
9.1 2 001 002
9.2 4 001 002 014 021
9.3 3 005 007 008
9.4 4 008 013 015 016
9.5 5 010 017 020 023 024
9.6 9 010 012 013 015 016 021 022 023 024
Chapter 10: Geometric Series
10.R 1 017
10.1 8 003 004 005 006 007 008 009 021
10.2 1 019
Total 818