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 (25)
    • 0.4: Factoring Polynomials (33)
    • 0.5: Fractions and Rationalization (19)

  • Chapter 1: Functions, Graphs, and Limits
    • 1.1: The Cartesian Plane and the Distance Formula (17)
    • 1.2: Graphs of Equations (33)
    • 1.3: Lines in the Plane and Slope (42)
    • 1.4: Functions (34)
    • 1.5: Limits (32)
    • 1.6: Continuity (29)

  • Chapter 2: Differentiation
    • 2.1: The Derivative and the Slope of a Graph (32)
    • 2.2: Some Rules for Differentiation (29)
    • 2.3: Rates of Change (13)
    • 2.4: The Product and Quotient Rules (30)
    • 2.5: The Chain Rule (35)
    • 2.6: Higher-Order Derivatives (25)

  • Chapter 3: Applications of the Derivative
    • 3.1: Increasing and Decreasing Functions (20)
    • 3.2: Extrema and the First-Derivative Test (22)
    • 3.3: Concavity and the Second-Derivative Test (31)
    • 3.4: Optimization Problems (19)
    • 3.5: Asymptotes (28)
    • 3.6: Curve Sketching: A Summary (26)
    • 3.7: Differentials: Linear Approximation (17)

  • Chapter 4: Exponential and Logarithmic Functions
    • 4.1: Exponential Functions (15)
    • 4.2: Natural Exponential Functions (13)
    • 4.3: Derivatives of Exponential Functions (21)
    • 4.4: Logarithmic Functions (41)
    • 4.5: Derivatives of Logarithmic Functions (35)
    • 4.6: Exponential Growth and Decay (18)

  • Chapter 5: Trigonometric Functions
    • 5.1: Radian Measure of Angles (25)
    • 5.2: The Trigonometric Functions (34)
    • 5.3: Graphs of Trigonometric Functions (38)
    • 5.4: Derivatives of Trigonometric Functions (35)

  • Chapter 6: Integration and Its Applications
    • 6.1: Antiderivatives and Indefinite Integrals (32)
    • 6.2: Integration by Substitution and The General Power Rule (24)
    • 6.3: Exponential and Logarithmic Integrals (28)
    • 6.4: Area and the Fundamental Theorem of Calculus (39)
    • 6.5: The Area of a Region Bounded by Two Graphs (23)
    • 6.6: Volumes of Solids of Revolution (14)

  • Chapter 7: Techniques of Integration
    • 7.1: Integration by Parts (29)
    • 7.2: Partial Fractions and Logistic Growth (26)
    • 7.3: Integrals of Trigonometric Functions (28)
    • 7.4: The Definite Integral as the Limit of a Sum (16)
    • 7.5: Numerical Integration (24)
    • 7.6: Improper Integrals (19)

  • Chapter 8: Matrices
    • 8.1: Systems of Linear Equations in Two Variables (24)
    • 8.2: Systems of Linear Equations in More Than Two Variables (25)
    • 8.3: Matrices and Systems of Linear Equations (31)
    • 8.4: Operations with Matrices (23)
    • 8.5: The Inverse of a Matrix (32)

  • Chapter 9: Functions of Several Variables
    • 9.1: The Three-Dimensional Coordinate System (26)
    • 9.2: Surfaces in Space (25)
    • 9.3: Functions of Several Variables (21)
    • 9.4: Partial Derivatives (30)
    • 9.5: Extrema of Functions of Two Variables (21)
    • 9.6: Least Squares Regression Analysis (23)
    • 9.7: Double Integrals and Area in the Plane (24)
    • 9.8: Applications of Double Integral (16)

  • Chapter 10: Differential Equations
    • 10.1: Solutions of Differential Equations (24)
    • 10.2: Separation of Variables (24)
    • 10.3: First-Order Linear Differential Equations (18)
    • 10.4: Applications of Differential Equations (18)

  • Chapter 11: Probability and Calculus
    • 11.1: Discrete Probability (13)
    • 11.2: Continuous Random Variables (16)
    • 11.3: Expected Value and Variance (22)

  • Chapter B: Additional Topics in Differentiation
    • B.1: Implicit Differentiation (22)
    • B.2: Related Rates (13)

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


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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 33 001 003 006 010 011 013 017 019 022 024 028 030 032 034 036 037 040 041 042 043 048.SBS 050 052 054 056 058 060 062 064 065 071 072 074
1.3 42 002 004 008 010 014 018 020 024 026 027 029.SBS 031 034 035 037 039 041 043 046 048 050 052 056 058 060 063 064 065 066 068 070 072 074 076 078 080 082 084 087 088 090 096
1.4 34 002 006 007 008 009 012 014 018 020 022 024 026 030 032 036 038 039 042 044 046 050.SBS 054 058 060 062 066 067 068 070 071 072 074 076 078
1.5 32 002 004 006 010 014 016 018 020 022 024 026 028 030 034 038 040 042 044.SBS 046 048 050 052 054 056 058 060 062 066 068 070 071 072
1.6 29 002 004 006 010 014 016 018 020 022 026 028 030 034 036 038 040 042 044 046 048 050 052.SBS 054 056 060 062 063 064 066
Chapter 2: Differentiation
2.1 32 006 008 010 012 014 016 020 022 024 026 028 030 032.SBS 034 036 038 040 042 044 046 048 050 052 054 056 058 060 062 064 066 068 072
2.2 29 002 004 006 008 010 012 016 018 020 022 024.SBS 026 028 030 032 034 036 038 040 044 046 048 052 054 056 058 060 062 066
2.3 13 003 004 006.SBS 008 010 012 013 017 019 020 023 026 030
2.4 30 001 004 006 008 010 012 014 016 018 020.SBS 022 024 026 028 030 032 034 036 038 040 042 046 047 050 054 056 058 062 067 069
2.5 35 002 004 006 008 010 012 014 016 020 024 026 028 030 032 034 036 038 040 042 044 046 048 052 054 056 058 060 062 064 066.SBS 068 070 072 074 076
2.6 25 002 006 008 010.SBS 012 014 016 018 020 022 024 026 028 030 032 034 036 038 040 044 046 048 050 052 054
Chapter 3: Applications of the Derivative
3.1 20 002 004 006 008 010 012 014 016 018 020 022 024 026.SBS 028 030 032 034 036 038 040
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 31 002 004 006 008 010 012 014 016 018 020 022 024 026 028 032 034 036 038 040 042 044 046 048 050 056 058 060 062.SBS 064 068 070
3.4 19 001 004 006 007 009 012 014 016 018 020 023.SBS 025 029 031 033 035 037 039 041
3.5 28 002 004 006 008 010 012 014 016 018 020 022 024 026.SBS 028 030 032 034 036 038 040 044 048 056 060 061 062 064 065
3.6 26 002 004 006 008 010 012 014.SBS 016 018 020 022 024 026 028 030 032 034 036 038 040 042 044 052 054 056 057
3.7 17 002 004 006 008.SBS 010 014 016 020 022 026 027 028 029 032 034 036 037
Chapter 4: Exponential and Logarithmic Functions
4.1 15 002 004 006 008 010 012 013 017 021 024 025 028 030 032.SBS 034
4.2 13 002 004.SBS 006 008 012 014 016 018 020 024 026 027 030
4.3 21 002 004.SBS 006 008 010 012 014 016 018 020 022 023 026 030 034 036 038 040 044 046 048
4.4 41 002 004 006 008 010 012 014 016 018 020 024 026 028 030 032 034 036 038 040 042 044 046 050 052.SBS 054 056 060 062 064 066 068 070 072 074 076 078 080 082 083 084 087
4.5 35 002 004 006 008 010 012 014 016 018.SBS 020 022 024 026 028 030 032 036 038 040 042 044 046 048 052 054 058 060 062 064 066 070 073 076 078 079
4.6 18 005 006 008 010 012 014 016 018 020 022 024 026 028 030.SBS 032 034 036 038
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 34 002 006 008 014 016 018 020 022 024 026 027 032 034 036 038 040 042 044 046 048 050 052 054 056 058 060 062 064 066 068 070 072.SBS 074 075
5.3 38 002 004 006 008 010 012 014 016 018 019 020 021 028 030 032 034 036 038 040 044 046 048 050 052 054 056 058 062.SBS 064 065 069 070 071 072 074 080 082 084
5.4 35 002 004 006 008 010 012 014 016 018 020 022 024 026 028 030 032 034 036 038 040 042.SBS 044 046 048 050 054 056 058 059 060 062 066 072 076 080
Chapter 6: Integration and Its Applications
6.1 32 010 012 014 016 018 020 022 024 026 028 030 032 034 036 038 042 044 046 050 052 054 056 058.SBS 060 062 064 065 066 067 068 070 072
6.2 24 002 004 006 008 010 012 014 016 018 020.SBS 022 024 026 028 032 034 036 038 040 042 044 048 050 052
6.3 28 002 004 006 008 010 012 014 018 020 022 024.SBS 026 028 030 032 034 036 038 040 042 044 048 050 052 056 058 060 062
6.4 39 002 004 006 008 010 012 014 016 018 020 022 024 026 028 030 032 034 036 038 040 042.SBS 044 046 048 050 052 056 058 062 064 066 070 074 076 078 080 082 084 088
6.5 23 002 004 006.SBS 008 010 012 014 016 018 020 022 024 029 030 032 036 038 040 042 044 046 048 050
6.6 14 002 006 008 010 012 014 016 020 022 023 024 028 030.SBS 031
Chapter 7: Techniques of Integration
7.1 29 002 004 006 008 010 012 014 016 018 020 022 024 026 028 032.SBS 034 038 040 042 044 046 048 052 054 056 058 062 064 066
7.2 26 002 004.SBS 008 010 012 016 018 020 022 024 026 028 030 032 034 036 038 040 042 046 048 052 054 055 058 059
7.3 28 002 004 006 008.SBS 010 012 014 016 018 020 022 024 030 032 034 036 038 040 042 044 046 048 052 055 058 060 061 065
7.4 16 002 006 008 010 012 014 016.SBS 024 028 029 030 032 034 035 037 038
7.5 24 002 006 008 010 012 013 014 016 018 020 022 024 026 028 030 034 036 038 040 042 044 046 052 054.SBS
7.6 19 002 004 006 010 012 014 016 018 020.SBS 022 024 026 028 030 032 034 036 038 044
Chapter 8: Matrices
8.1 24 002 004 006 008 010 012 014 016 018 022 023.SBS 026 027 028 030 034 038 040 042 044 046 048.SBS 049 054
8.2 25 002 004 006 008 009 010 012 014 016 018 019.SBS 020 024 026 028 030 032 034 036.SBS 040 042 044 046 048 050
8.3 31 002 006 008 010 012 014 018 020 022 024 028 030 032 034.SBS 038 039 042 044 046 047 048 052 054 056 058 060 062 064 066 068 070
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 32 010 012 014 016 018 020 022 024 025 026 028 030 032 034 036 038 040 042 044 046 048 050 052 054 056 058 060 062 064 066 068 069.SBS
Chapter 9: Functions of Several Variables
9.1 26 006 007 008 009 010 012 014 016 018.SBS 020 022 024 026 028 030 032 034 036 038 040 042 044 046 059 060 061
9.2 25 002 006 008 010 014 016.SBS 018 020 022 024 026 028 030 032 034 035 042 044 046 048 050 052 053 057 058
9.3 21 002 004 006 008 010 012 014 016 018 020 022 024 026 028 030 034 036 038 042.SBS 044 050
9.4 30 002 004 006 008 010 012 014 016 020 022 024 026 028 030 034 036 038 040.SBS 042 044 046 050 052 054 056 058 060 062 064 066
9.5 21 002 004 006 008 010 012 014 018 022 024 026 028 030 032 034 036 037 038 040 042 048.SBS
9.6 23 002.SBS 004 006 008 012 014 016 018 020 022 024 026 028 030 031 032 034 038 042 044 048 050 052
9.7 24 002 004 006.SBS 008 010 012 014 016 018 020 022 024 026 032 034 036 037 038 040 042 044 046 048 050
9.8 16 002 004 006 010 012 014 018 020.SBS 022 025 028 030 032 034 036 038
Chapter 10: Differential Equations
10.1 24 002 004 008 010 016 018 020 022 024 025 026 028 030 032 034 036 039 040 042 044 046 048 050 054
10.2 24 002 004 008 010 012 014 016 018 020 022 024 026 028 030 032 034 038 040 042 044 046 048 050 054
10.3 18 002 004 006 008 010 012 014 016 018 020 023 028 030 032 034 036 038 040
10.4 18 002 004 008 010 012 013 014 018 019 022 026 028 030 031 032 033 034 036
Chapter 11: Probability and Calculus
11.1 13 002 006 008 010 011.SBS 012 014 016 020 022 026 028 030
11.2 16 002 004 006 008 010 012 014 016 018 024.SBS 025 027 028 030 032 034
11.3 22 002.SBS 003 008 012 014 016 018 020 022 024 026 028 030 032 034 036 038 040 044 045 046 048
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 25 002 004 006 008 010 012 014 016 018 020 022 024 026.SBS 030 032 036 038 040 042 046 048 050 054 057 058
0.4 33 002 004 006 008 010 012 014 016 020 022 024 026 028 032 034 036 038 042 046 048 050 052 054 056 058 062 064 066 068.SBS 070 074 075 076
0.5 19 002 004 006 008 010 014 018 020 022 024 026 030 032 034.SBS 036 038 040 042 044
Appendix B: Additional Topics in Differentiation
B.1 22 002 004 006 008 010 012 014 016 018 020 022.SBS 024 026 028 030 032 034 036 038 040 042 044
B.2 13 001 002 003 004 007 009 010 011 012.SBS 013 014 015 016
Total 1696