Applied Calculus for the Life and Social Sciences 1st edition

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Ron Larson
Publisher: Cengage Learning

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  • Chapter 0: A Precalculus Review
    • 0.1: The Real Number Line and Order (18)
    • 0.2: Absolute Value and Distance on the Real Number Line (19)
    • 0.3: Exponents and Radicals (24)
    • 0.4: Factoring Polynomials (27)
    • 0.5: Fractions and Rationalization (18)

  • Chapter 1: Functions, Graphs, and Limits
    • 1.1: The Cartesian Plane and the Distance Formula (17)
    • 1.2: Graphs of Equations (25)
    • 1.3: Lines in the Plane and Slope (30)
    • 1.4: Functions (24)
    • 1.5: Limits (29)
    • 1.6: Continuity (24)

  • Chapter 2: Differentiation
    • 2.1: The Derivative and the Slope of a Graph (24)
    • 2.2: Some Rules for Differentiation (21)
    • 2.3: Rates of Change (11)
    • 2.4: The Product and Quotient Rules (15)
    • 2.5: The Chain Rule (25)
    • 2.6: Higher-Order Derivatives (22)

  • Chapter 3: Applications of the Derivative
    • 3.1: Increasing and Decreasing Functions (13)
    • 3.2: Extrema and the First-Derivative Test (22)
    • 3.3: Concavity and the Second-Derivative Test (27)
    • 3.4: Optimization Problems (18)
    • 3.5: Asymptotes (24)
    • 3.6: Curve Sketching: A Summary (12)
    • 3.7: Differentials: Linear Approximation (15)

  • Chapter 4: Exponential and Logarithmic Functions
    • 4.1: Exponential Functions (11)
    • 4.2: Natural Exponential Functions (8)
    • 4.3: Derivatives of Exponential Functions (14)
    • 4.4: Logarithmic Functions (35)
    • 4.5: Derivatives of Logarithmic Functions (29)
    • 4.6: Exponential Growth and Decay (12)

  • Chapter 5: Trigonometric Functions
    • 5.1: Radian Measure of Angles (25)
    • 5.2: The Trigonometric Functions (20)
    • 5.3: Graphs of Trigonometric Functions (10)
    • 5.4: Derivatives of Trigonometric Functions (7)

  • Chapter 6: Integration and Its Applications
    • 6.1: Antiderivatives and Indefinite Integrals (25)
    • 6.2: Integration by Substitution and The General Power Rule (14)
    • 6.3: Exponential and Logarithmic Integrals (13)
    • 6.4: Area and the Fundamental Theorem of Calculus (33)
    • 6.5: The Area of a Region Bounded by Two Graphs (11)
    • 6.6: Volumes of Solids of Revolution (9)

  • Chapter 7: Techniques of Integration
    • 7.1: Integration by Parts (8)
    • 7.2: Partial Fractions and Logistic Growth (13)
    • 7.3: Integrals of Trigonometric Functions (12)
    • 7.4: The Definite Integral as the Limit of a Sum (13)
    • 7.5: Numerical Integration (8)
    • 7.6: Improper Integrals (8)

  • Chapter 8: Matrices
    • 8.1: Systems of Linear Equations in Two Variables (20)
    • 8.2: Systems of Linear Equations in More Than Two Variables (17)
    • 8.3: Matrices and Systems of Linear Equations (29)
    • 8.4: Operations with Matrices (23)
    • 8.5: The Inverse of a Matrix (31)

  • Chapter 9: Functions of Several Variables
    • 9.1: The Three-Dimensional Coordinate System (17)
    • 9.2: Surfaces in Space (18)
    • 9.3: Functions of Several Variables (15)
    • 9.4: Partial Derivatives (8)
    • 9.5: Extrema of Functions of Two Variables (16)
    • 9.6: Least Squares Regression Analysis (12)
    • 9.7: Double Integrals and Area in the Plane (13)
    • 9.8: Applications of Double Integral (5)

  • Chapter 10: Differential Equations
    • 10.1: Solutions of Differential Equations (17)
    • 10.2: Separation of Variables (7)
    • 10.3: First-Order Linear Differential Equations (6)
    • 10.4: Applications of Differential Equations (14)

  • Chapter 11: Probability and Calculus
    • 11.1: Discrete Probability (10)
    • 11.2: Continuous Random Variables (6)
    • 11.3: Expected Value and Variance (10)

  • Chapter B: Additional Topics in Differentiation
    • B.1: Implicit Differentiation (15)
    • B.2: Related Rates (13)

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Question Group Key
B - Appendix B: Additional Topics in Differentiation
SBS - Step by Step Question


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


Group Quantity Questions
Chapter 1: Functions, Graphs, and Limits
1.1 17 003 004 006 007 008 011 012 018 020 021.SBS 022 023 024 025 026 043 044
1.2 25 001 003 006 011 013 017 019 022 024 036 037 040 041 042 043 048.SBS 050 052 054 056 058 060 062 064 074
1.3 30 002 008 010 014 018 020 024 026 027 031 034 035 037 041 052 056 060 063 068 070 072 074 076 078 080 082 084 087 088 096
1.4 24 002 006 007 008 009 014 020 022 024 030 032 036 038 039 050.SBS 054 058 066 067 068 070 071 074 078
1.5 29 004 006 010 014 016 018 022 024 026 028 030 034 038 040 042 044.SBS 046 048 050 052 054 056 058 060 062 066 070 071 072
1.6 24 002 004 006 010 014 016 018 020 022 026 028 030 034 036 038 040 044 046 048 056 062 063 064 066
Chapter 2: Differentiation
2.1 24 006 008 012 014 016 024 026 028 030 032.SBS 034 038 040 044 046 052 054 056 060 062 064 066 068 072
2.2 21 002 004 006 008 010 012 016 020 024.SBS 026 028 030 032 036 038 040 044 048 054 056 062
2.3 11 003 004 008 012 013 017 019 020 023 026 030
2.4 15 004 012 018 020.SBS 022 026 030 032 034 040 047 050 056 067 069
2.5 25 002 004 006 008 010 014 016 020 024 026 028 030 032 036 040 042 044 052 056 060 066.SBS 068 070 072 076
2.6 22 002 006 008 010.SBS 012 016 018 020 022 024 026 028 032 034 036 038 040 044 046 050 052 054
Chapter 3: Applications of the Derivative
3.1 13 004 008 010 012 014 020 022 024 026.SBS 034 036 038 040
3.2 22 002 004 006 008 010 012 014 016 018 022 024 026 028 030.SBS 034 036 038 040 042 044 048 051
3.3 27 002 004 006 008 010 012 014 016 018 020 022 024 028 032 034 036 038 040 044 048 050 058 060 062.SBS 064 068 070
3.4 18 001 004 006 007 009 012 014 016 018 020 025 029 031 033 035 037 039 041
3.5 24 002 008 010 012 014 016 018 020 022 024 026.SBS 028 030 032 034 036 038 040 048 056 060 061 064 065
3.6 12 012 016 020 022 024 030 032 036 040 042 044 057
3.7 15 002 004 008.SBS 010 014 016 020 022 026 028 029 032 034 036 037
Chapter 4: Exponential and Logarithmic Functions
4.1 11 002 004 006 008 010 012 017 021 025 032.SBS 034
4.2 8 002 006 016 020 024 026 027 030
4.3 14 002 006 008 010 012 016 018 022 026 030 034 036 040 046
4.4 35 002 008 010 012 016 018 024 026 028 030 032 034 036 038 040 042 044 046 050 052.SBS 054 056 060 062 064 066 068 070 072 074 076 078 080 082 087
4.5 29 004 006 008 012 014 016 018.SBS 022 024 026 028 030 032 036 038 040 042 044 046 048 052 054 058 062 064 066 070 078 079
4.6 12 012 014 016 018 020 022 024 026 028 030.SBS 036 038
Chapter 5: Trigonometric Functions
5.1 25 002 004 006 008 010 012 014 016 018 020 022 024 026 028 032 036 040 044 046 048.SBS 050 052 054 056 058
5.2 20 002 006 008 020 022 024 026 027 036 040 042 044 046 064 066 068 070 072.SBS 074 075
5.3 10 010 012 014 016 018 019 020 080 082 084
5.4 7 012 022 042.SBS 056 059 062 080
Chapter 6: Integration and Its Applications
6.1 25 010 014 016 018 020 022 024 026 028 030 032 034 036 044 046 050 052 054 058.SBS 060 062 064 065 067 070
6.2 14 002 004 006 008 010 012 018 024 026 028 036 040 044 048
6.3 13 006 008 010 012 014 018 020 024.SBS 030 034 036 038 056
6.4 33 002 004 006 008 010 012 014 016 020 022 024 026 028 030 032 034 036 038 040 042.SBS 044 046 048 050 052 056 058 062 070 074 076 078 082
6.5 11 010 012 014 016 022 029 030 032 040 042 044
6.6 9 002 006 012 014 020 022 023 024 028
Chapter 7: Techniques of Integration
7.1 8 002 004 010 026 038 040 042 044
7.2 13 002 004.SBS 008 010 012 032 034 036 040 046 048 055 058
7.3 12 006 008.SBS 012 014 024 030 040 042 044 046 052 065
7.4 13 002 006 010 012 014 016.SBS 024 028 030 032 034 035 037
7.5 8 018 022 024 030 034 044 046 054.SBS
7.6 8 002 004 020.SBS 024 026 028 036 038
Chapter 8: Matrices
8.1 20 002 004 006 008 010 012 014 016 018 022 023.SBS 026 027 030 034 042 044 046 049 054
8.2 17 002 004 006 008 010 012 014 018 024 028 034 040 042 044 046 048 050
8.3 29 002 006 008 010 012 014 018 020 022 024 028 030 032 034.SBS 038 039 042 047 048 052 054 056 058 060 062 064 066 068 070
8.4 23 002 004 006 008 010 012 014 016.SBS 020 022 024 026 028 030 034 036 038 040 044 048 050 052 054
8.5 31 010 012 014 016 018 020 022 024 025 026 028 030 032 034 036 038 040 042 044 048 050 052 054 056 058 060 062 064 066 068 069.SBS
Chapter 9: Functions of Several Variables
9.1 17 007 008 009 010 012 016 018.SBS 020 022 024 026 030 042 044 046 059 060
9.2 18 014 016.SBS 018 020 022 024 026 028 030 035 042 044 046 048 050 052 053 057
9.3 15 002 004 006 008 010 012 014 016 022 026 028 030 042.SBS 044 050
9.4 8 020 022 024 026 028 042 052 064
9.5 16 002 004 006 008 010 012 014 022 024 026 028 030 032 034 040 042
9.6 12 008 012 014 016 018 020 030 042 044 048 050 052
9.7 13 002 004 006.SBS 008 010 014 020 026 034 037 040 042 044
9.8 5 018 022 025 028 030
Chapter 10: Differential Equations
10.1 17 002 004 008 010 016 018 020 022 024 025 026 028 030 032 034 036 054
10.2 7 002 004 040 042 048 050 054
10.3 6 023 028 032 034 036 040
10.4 14 002 004 008 010 012 013 014 022 028 030 031 032 033 036
Chapter 11: Probability and Calculus
11.1 10 002 006 008 010 011.SBS 012 014 016 026 030
11.2 6 025 027 028 030 032 034
11.3 10 012 014 016 018 028 030 038 040 044 045
Chapter 0: A Precalculus Review
0.1 18 002 004 006 008 010 011 012 014 015 016 018 020 022 024 026 028.SBS 037 038
0.2 19 002 004 006 008 010 012 014 016 018 020 022 024 026.SBS 028 030 036 038 040 044
0.3 24 002 004 006 008 010 012 014 016 018 020 022 024 026.SBS 030 032 036 038 042 046 048 050 054 057 058
0.4 27 004 006 008 010 012 014 016 022 026 028 032 034 038 042 046 048 050 052 054 056 058 062 068.SBS 070 074 075 076
0.5 18 002 004 006 010 014 018 020 022 024 026 030 032 034.SBS 036 038 040 042 044
Appendix B: Additional Topics in Differentiation
B.1 15 002 004 006 008 010 012 014 016 018 020 022.SBS 024 028 042 044
B.2 13 001 002 003 004 007 009 010 011 012.SBS 013 014 015 016
Total 1164