PreCalculus: A Problems-Oriented Approach 6th edition

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David Cohen
Publisher: Cengage Learning

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  • Chapter 1: Fundamentals
    • 1.1: Sets of Real Numbers (14)
    • 1.2: Absolute Value (19)
    • 1.3: Solving Equations (Review and Preview) (23)
    • 1.4: Rectangular Coordinates, Visualizing Data (8)
    • 1.5: Graphs and Graphing Utilities (10)
    • 1.6: Equations of Lines (29)
    • 1.7: Symmetry and Graphs, Circles (32)

  • Chapter 2: Equations and Inequalities
    • 2.1: Quadratic Equations: Theory and Examples (31)
    • 2.2: Other Types of Equations (30)
    • 2.3: Inequalities (18)
    • 2.4: More on Inequalities (29)

  • Chapter 3: Functions
    • 3.1: The Definition of a Function (34)
    • 3.2: The Graph of a Function (28)
    • 3.3: Shapes of Graphs, Average Rate of Change (24)
    • 3.4: Techniques in Graphing (34)
    • 3.5: Methods of Combining Functions, Iteration (24)
    • 3.6: Inverse Functions (27)

  • Chapter 4: Polynomial and Rational Functions, Applications to Optimization
    • 4.1: Linear Functions (23)
    • 4.2: Quadratic Functions (35)
    • 4.3: Using Iteration to Model Population Growth (Optional Section) (8)
    • 4.4: Setting Up Equations that Define Functions (31)
    • 4.5: Maximum and Minimum Problems (21)
    • 4.6: Polynomial Functions (21)
    • 4.7: Rational Functions (19)

  • Chapter 5: Exponential and Logarithmic Functions
    • 5.1: Exponential Functions (29)
    • 5.2: The Exponential Function y = ex (21)
    • 5.3: Logarithmic Functions (36)
    • 5.4: Properties of Logarithms (40)
    • 5.5: Equations and Inequalities with Logs and Exponents (42)
    • 5.6: Compound Interest (17)
    • 5.7: Exponential Growth and Decay (19)

  • Chapter 6: Trigonometric Functions of Angles
    • 6.1: Trigonometric Functions of Acute Angles (13)
    • 6.2: Algebra and the Trigonometric Functions (22)
    • 6.3: Right-Triangle Applications (10)
    • 6.4: Trigonometric Functions of Angles (23)
    • 6.5: Trigonometric Identities (13)

  • Chapter 6UCT: The Trigonometric Functions
    • 6UCT.1: Radian Measure (26)
    • 6UCT.2: Trigonometric Functions of Angles (28)
    • 6UCT.3: Evaluating the Trigonometric Functions (13)
    • 6UCT.4: Algebra and the Trigonometric Functions (27)
    • 6UCT.5: Right-Triangle Trigonometry (13)

  • Chapter 7: Trigonometric Functions of Real Numbers
    • 7.1: Radian Measure (21)
    • 7.2: Radian Measure and Geometry (19)
    • 7.3: Trigonometric Functions of Real Numbers (25)
    • 7.4: Graphs of the Sine and Cosine Functions (20)
    • 7.5: Graphs of y = A sin(Bx-C) and y=A cos(Bx-C) (20)
    • 7.6: Simple Harmonic Motion (3)
    • 7.7: Graphs of the Tangent and the Reciprocal Functions (14)

  • Chapter 8: Analytical Trigonometry
    • 8.1: The Addition Formulas (28)
    • 8.2: The Double-Angle Formulas (17)
    • 8.3: The Product-to-Sum and Sum-to-Product Formulas (13)
    • 8.4: Trigonometric Functions (36)
    • 8.5: The Inverse Trigonometric Functions (31)

  • Chapter 9: Additional Topics in Trigonometry
    • 9.1: The Law of Sines and the Law of Cosines (19)
    • 9.2: Vectors in the Plane: A Geometric Approach (16)
    • 9.3: Vectors in the Plane: An Algebraic Approach (23)
    • 9.4: Parametric Equations (7)
    • 9.5: Introduction to Polar Coordinates (20)
    • 9.6: Curves in Polar Coordinates (10)

  • Chapter 10: Systems of Equations
    • 10.1: Systems of Two Linear Equations in Two Unknowns (19)
    • 10.2: Gaussian Elimination (13)
    • 10.3: Matrices (22)
    • 10.4: The Inverse of a Square Matrix (16)
    • 10.5: Determinants and Cramer's Rules (20)
    • 10.6: Nonlinear Systems of Equations (17)
    • 10.7: Systems of Inequalities (18)

  • Chapter 11: The Conic Sections
    • 11.1: The Basic Equations (14)
    • 11.2: The Parabola (13)
    • 11.3: Tangents to Parabolas (Optional Section) (6)
    • 11.4: The Ellipse (16)
    • 11.5: The Hyperbola (12)
    • 11.6: The Focus-Directrix Property of Conics (7)
    • 11.7: The Conics in Polar Coordinates (9)
    • 11.8: Rotation of Axes (18)

  • Chapter 12: Roots of Polynomial Equations
    • 12.1: The Complex Number System (20)
    • 12.2: Division of Polynomials (18)
    • 12.3: The Remainder Theorem and the Factor Theorem (15)
    • 12.4: The Fundamental Theorem of Algebra (15)
    • 12.5: Rational and Irrational Roots (12)
    • 12.6: Conjugate Roots and Descartes's Rule of Signs (15)
    • 12.7: Introduction to Partial Fractions (10)
    • 12.8: More About Partial Fractions (16)

  • Chapter 13: Additional Topics in Algebra
    • 13.1: Mathematical Induction (6)
    • 13.2: The Binomial Theorem (17)
    • 13.3: Introduction to Sequences and Series (19)
    • 13.4: Arithmetic Sequences and Series (14)
    • 13.5: Geometric Sequences and Series (15)
    • 13.6: DeMoivre's Theorem (20)

  • Chapter B: Appendix B
    • B.1: Review of Integer Exponents (15)
    • B.2: Review of nth Roots (18)
    • B.3: Review of Rational Exponents (17)
    • B.4: Review of Factoring (20)
    • B.5: Review of Fractional Expressions (14)

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Group Quantity Questions
Chapter 1: Fundamentals
1.1 14 015 017 020 021 023 029 041 043 044 045 047 049 051 053
1.2 19 009 013 016 019 021 023 025 027 029 031 033 035 037 041 043 045 053 057 059
1.3 23 009 011 013 017 021 027 031 033 035 037 043 045 047 049 053 055 057 059 063 065 067 071 073
1.4 8 001 005 007 011 013 017 019 027
1.5 10 009 011 013 017 019 021 023 025 027 029
1.6 29 001 002 005 008 010 011 012 013 014 015 017 019 020 021 022 023 025 026 027 028 029 031 032 033 035 036 042 048 056
1.7 32 003 004 005 007 009 010 013 014 015 018 019 023 024 026 027 028 030 031 037 039 040 041 043 044 045 046 047 048 050 053 055 060
Chapter 2: Equations and Inequalities
2.1 31 001 002 003 004 005 006 007 010 011 013 014 015 016 017 024 026 031 035 039 041 042 043 044 046 047 050 051 053 055 057 058
2.2 30 002 003 006 008 009 010 015 016 018 021 025 027 028 032 033 037 038 041 045 046 049 051 052 054 055 057 058 061 064 067
2.3 18 002 003 006 007 008 009 010 015 018 021 022 024 026 030 032 034 038 042
2.4 29 001 002 003 005 006 008 010 011 014 015 019 020 023 025 029 033 035 037 041 044 045 047 049 051 053 055 057 059 068
Chapter 3: Functions
3.1 34 002 004 005 006 009 011 012 013 014 015 016 019 020 021 023 024 025 027 029 030 032 033 034 038 042 044 045 046 047 048 054 058 065 066
3.2 28 003 004 005 006 007 008 009 010 011 014 015 016 017 018 019 020 023 024 025 026 027 029 030 033 034 035 036 037
3.3 24 001 002 003 006 008 009 011 012 014 015 016 019 022 025 027 028 029 031 034 038 039 040 041 043
3.4 34 001 002 004 005 007 008 009 011 012 015 016 017 018 019 020 021 023 024 025 027 029 031 033 035 037 039 042 046 047 048 054 058 059 062
3.5 24 001 002 003 005 007 009 010 011 013 014 017 019 020 021 024 025 026 027 028 029 030 031 032 034
3.6 27 003 004 005 007 008 009 010 011 012 014 017 018 019 023 025 026 028 029 030 031 032 033 034 042 044 045 047
Chapter 4: Polynomial and Rational Functions, Applications to Optimization
4.1 23 001 002 005 006 008 009 011 012 013 014 015 016 018 019 020 022 024 026 030 036 037 040 043
4.2 35 004 005 006 009 010 011 012 016 017 018 020 021 023 024 025 027 028 029 036 037 038 040 044 045 047 048 049 050 053 055 057 058 059 060 070
4.3 8 002 006 010 014 016 025 030 037
4.4 31 002 004 006 008 009 010 013 014 015 016 017 018 019 022 026 028 030 032 033 034 035 038 039 041 042 044 045 046 047 050 052
4.5 21 001 002 004 006 010 014 016 017 020 024 031 034 035 038 042 045 047 048 050 054 059
4.6 21 001 002 008 011 012 017 018 019 020 021 022 029 032 034 036 040 044 048 049 060 062
4.7 19 002 006 012 014 022 024 026 029 030 032 034 036 038 040 042 044 048 050 051
Chapter 5: Exponential and Logarithmic Functions
5.1 29 002 004 006 008 010 011 012 013 015 016 017 018 019 020 021 022 025 028 029 031 032 036 039 040 041 048 052 059 064
5.2 21 006 008 011 012 014 016 017 020 022 028 032 036 040 041 042 046 049 055 056 057 060
5.3 36 002 004 006 007 009 010 011 012 017 018 019 020 021 022 023 025 026 029 031 032 033 035 036 037 039 041 043 050 051 054 056 057 058 060 062 069
5.4 40 002 003 004 005 006 007 008 009 010 011 014 015 016 017 020 023 026 030 034 038 040 042 043 044 045 046 049 050 052 054 056 058 060 063 066 069 070 075 078 080 082
5.5 42 001 002 003 005 008 009 010 011 012 015 016 017 018 020 022 024 025 026 028 030 032 034 037 038 040 042 046 050 052 056 060 062 067 068 072 075 076 080 081 092 094 096
5.6 17 001 002 003 004 005 006 007 008 009 010 012 016 017 019 021 024 028
5.7 19 001 002 003 007 008 010 013 018 024 025 027 030 032 036 038 042 046 050 058
Chapter 6: Trigonometric Functions of Angles
6.1 13 002 004 006 008 010 014 016 020 022 026 030 034 041
6.2 22 002 006 008 010 014 016 018 020 024 028 032 036 038 040 042 044 046 048 050 052 054 056
6.3 10 002 006 007 014 018 020 025 027 030 035
6.4 23 002 006 008 010 012 016 020 024 028 030 034 038 042 044 046 050 051 053 056 058 060 063 068
6.5 13 002 006 010 014 016 020 024 028 032 036 040 044 048
Chapter 6UCT: The Trigonometric Functions
6UCT.1 26 002 004 006 008 010 012 014 016 018 020 022 024 026 028 030 032 034 036 038 042 044 046 048 051 053 055
6UCT.2 28 002 004 006 010 014 018 020 024 026 028 032 034 036 038 042 046 050 054 058 060 064 068 072 076 080 084 088 090
6UCT.3 13 002 004 005 008 010 014 016 018 020 022 024 028 029
6UCT.4 27 002 006 008 010 014 016 018 020 022 024 026 028 030 032 034 036 040 042 046 050 054 062 066 067 074 078 088
6UCT.5 13 002 004 006 008 010 014 018 022 026 028 030 036 040
Chapter 7: Trigonometric Functions of Real Numbers
7.1 21 002 004 006 008 010 012 014 016 018 019 020 022 026 030 032 034 036 038 040 041 042
7.2 19 002 004 006 008 010 011 012 014 016 018 020 022 024 026 028 029 031 036 037
7.3 25 002 004 006 008 010 012 014 016 020 026 028 030 032 034 036 038 040 042 044 046 048 052 056 060 064
7.4 20 002 004 006 008 010 014 018 020 022 024 028 032 034 036 040 046 050 056 058 060
7.5 20 001 002 003 005 008 010 016 020 026 030 034 040 041 042 043 044 045 046 048 050
7.6 3 002 004 006
7.7 14 002 004 006 010 016 022 026 030 036 040 044 046 048 050
Chapter 8: Analytical Trigonometry
8.1 28 002 004 006 008 010 012 014 016 018 020 022 024 026 028 030 032 034 038 040 042 046 050 054 058 063 070 072 078
8.2 17 002 004 006 008 010 014 018 020 022 026 028 030 032 036 040 044 048
8.3 13 002 006 010 014 018 022 024 028 032 034 036 040 048
8.4 36 002 004 006 008 010 012 014 016 018 020 021 022 026 028 030 032 034 036 038 040 042 044 046 048 050 051 052 054 058 062 066 070 074 076 082 084
8.5 31 002 004 006 008 010 012 014 016 018 020 024 026 028 030 032 034 036 042 044 046 048 052 056 058 064 068 070 074 078 082 084
Chapter 9: Additional Topics in Trigonometry
9.1 19 002 004 006 008 010 014 015 017 020 022 026 028 030 032 034 036 037 038 040
9.2 16 002 008 012 018 022 026 028 032 034 038 040 044 048 050 052 054
9.3 23 002 006 008 010 016 018 020 022 028 030 032 034 038 040 042 044 048 050 054 063 066 070 074
9.4 7 002 004 006 008 012 016 020
9.5 20 002 004 006 008 010 012 014 016 018 020 022 024 026 030 032 034 036 038 040 044
9.6 10 004 008 012 016 020 024 028 032 036 038
Chapter 10: Systems of Equations
10.1 19 004 012 014 016 018 022 024 026 028 030 034 036 038 044 050 052 054 056 058
10.2 13 002 004 006 008 010 012 016 020 024 028 036 038 040
10.3 22 002 006 008 010 012 014 016 018 020 022 024 026 028 034 038 042 044 046 050 054 056 058
10.4 16 006 008 010 012 014 018 022 024 026 030 032 034 036 038 040 053
10.5 20 002 004 006 008 010 012 014 018 022 026 035 040 042 044 046 048 050 060 065 066
10.6 17 002 004 006 008 010 012 014 016 018 020 022 026 030 034 048 050 054
10.7 18 004 006 008 010 014 015 017 019 021 024 028 030 032 034 036 038 040 041
Chapter 11: The Conic Sections
11.1 14 002 006 010 014 016 018 022 024 026 030 032 036 042 050
11.2 13 002 006 010 014 018 022 026 029 030 032 033 041 048
11.3 6 002 004 006 008 009 011
11.4 16 002 006 010 014 018 022 024 026 028 030 032 034 036 038 050 056
11.5 12 002 006 010 014 018 022 028 030 032 034 036 054
11.6 7 002 004 006 008 010 012 014
11.7 9 002 004 006 008 010 012 014 016 018
11.8 18 001 003 004 005 008 010 012 014 016 018 020 026 030 034 038 039 040 042
Chapter 12: Roots of Polynomial Equations
12.1 20 002 004 006 010 014 018 022 024 030 034 036 038 042 046 052 056 060 072 074 076
12.2 18 002 004 006 008 010 012 016 022 026 030 034 038 040 042 046 052 056 058
12.3 15 002 006 010 014 016 020 024 040 042 046 048 050 052 056 060
12.4 15 004 008 012 014 016 018 020 022 024 034 036 038 040 042 046
12.5 12 002 006 008 010 018 020 022 024 026 028 032 034
12.6 15 002 004 006 008 010 012 014 016 018 020 026 030 034 038 040
12.7 10 002 006 008 010 012 014 016 018 020 022
12.8 16 006 012 018 020 022 024 026 028 030 032 034 040 042 044 050 052
Chapter 13: Additional Topics in Algebra
13.1 6 002 006 012 020 024 036
13.2 17 004 005 006 007 008 010 012 015 018 022 025 029 036 040 044 049 052
13.3 19 002 006 010 014 016 020 022 034 036 038 040 042 046 050 054 056 058 060 062
13.4 14 004 006 008 010 012 014 016 018 020 022 024 026 028 030
13.5 15 002 004 006 008 010 012 014 016 018 020 022 024 026 028 032
13.6 20 003 007 009 013 017 019 023 025 029 033 035 039 041 045 049 055 059 063 067 071
Appendix B: Appendix B
B.1 15 002 006 010 014 018 022 026 030 034 038 040 042 044 048 050
B.2 18 010 014 018 022 026 030 034 038 042 046 050 054 058 062 066 070 072 076
B.3 17 002 006 010 014 018 022 026 030 034 038 042 046 050 054 058 062 066
B.4 20 002 006 010 014 018 022 026 030 034 038 042 046 050 054 058 062 066 068 070 074
B.5 14 002 006 010 014 018 022 026 030 034 038 042 046 050 052
Total 1822 (1)