# Algebra and Trigonometry with Analytic Geometry 12th edition

Earl Swokowski and Jeffery A. Cole
Publisher: Cengage Learning

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• Chapter 1: Fundamental Concept of Algebra
• 1.1: Real Numbers (17)
• 1.2: Exponents and Radicals (26)
• 1.3: Algebraic Expressions (21)
• 1.4: Fractional Expressions (27)

• Chapter 2: Equations and Inequalities
• 2.1: Equations (23)
• 2.2: Applied Problems (29)
• 2.4: Complex Numbers (24)
• 2.5: Other Types of Equations (19)
• 2.6: Inequalities (27)
• 2.7: More on Inequalities (22)

• Chapter 3: Functions and Graphs
• 3.1: Rectangular Coordinate Systems (19)
• 3.2: Graphs of Equations (31)
• 3.3: Lines (25)
• 3.4: Definition of Function (37)
• 3.5: Graphs of Functions (32)
• 3.7: Operations on Functions (24)

• Chapter 4: Polynomial and Rational Functions
• 4.1: Polynomial Functions of Degree Greater Than 2 (28)
• 4.2: Properties of Division (20)
• 4.3: Zeros of Polynomials (18)
• 4.4: Complex and Rational Zeros of Polynomials (20)
• 4.5: Rational Functions (25)
• 4.6: Variation (22)

• Chapter 5: Inverse, Exponential, and Logarithmic Functions
• 5.1: Inverse Functions (30)
• 5.2: Exponential Functions (33)
• 5.3: The Natural Exponential Function (27)
• 5.4: Logarithmic Functions (36)
• 5.5: Properties of Logarithms (27)
• 5.6: Exponential and Logarithmic Equations (28)

• Chapter 6: The Trigonometric Functions
• 6.1: Angles (31)
• 6.2: Trigonometric Functions of Angles (30)
• 6.3: Trigonometric Functions of Real Numbers (25)
• 6.4: Values of the Trigonometric Functions (30)
• 6.5: Trigonometric Graphs (39)
• 6.6: Additional Trigonometric Graphs (21)
• 6.7: Applied Problems (26)

• Chapter 7: Analytic Trigonometry
• 7.1: Verifying Trigonometric Identities (20)
• 7.2: Trigonometric Equations (24)
• 7.3: The Addition and Subtraction Formulas (22)
• 7.4: Multiple-Angle Formulas (19)
• 7.5: Product-to-Sum and Sum-to-Product Formulas (20)
• 7.6: The Inverse Trigonometric Functions (21)

• Chapter 8: Applications of Trigonometry
• 8.1: The Law of Sines (20)
• 8.2: The Law of Cosines (21)
• 8.3: Vectors (20)
• 8.4: The Dot Product (20)
• 8.5: Trigonometric Form for Complex Numbers (20)
• 8.6: De Moivre's Theorem and nth Roots of Complex Numbers (20)

• Chapter 9: Systems of Equations and Inequalities
• 9.1: Systems of Equations (24)
• 9.2: Systems of Linear Equations in Two Variables (25)
• 9.3: Systems of Inequalities (20)
• 9.4: Linear Programming (18)
• 9.5: Systems of Linear Equations in More Than Two Variables (21)
• 9.6: The Algebra of Matrices (20)
• 9.7: The Inverse of a Matrix (20)
• 9.8: Determinants (20)
• 9.9: Properties of Determinants (18)
• 9.10: Partial Fractions (20)

• Chapter 10: Sequences, Series, and Probability
• 10.1: Infinite Sequences and Summation Notation (20)
• 10.2: Arithmetic Sequences (20)
• 10.3: Geometric Sequences (20)
• 10.4: Mathematical Induction (17)
• 10.5: The Binomial Theorem (20)
• 10.6: Permutations (19)
• 10.7: Distinguishable Permutations and Combinations (20)
• 10.8: Probability (20)

• Chapter 11: Topics from Analytic Geometry
• 11.1: Parabolas (20)
• 11.2: Ellipses (21)
• 11.3: Hyperbolas (20)
• 11.4: Plane Curves and Parametric Equations (21)
• 11.5: Polar Coordinates (20)
• 11.6: Polar Equations of Conics (20)

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Group Quantity Questions
Chapter 1: Fundamental Concept of Algebra
1.1 17 001 007 008 012 014c 015 025 027 033 041 042a 043a 044a 049 051 055 058
1.2 26 006 009 013 019 024 032 037 041 045 047 055 057 063 065 067 070 073 086 090 092 093a 094b 095 097 098 099
1.3 21 001 006 011 016 020 025 030 039 045 050 055 060 064 070 075 080 092 095 099 102 105
1.4 27 001 005 009 010 013 019 023 026 027 029 039 042 045 047 049 052 053 057 060 063 065 067 069 073 074 077 078
Chapter 2: Equations and Inequalities
2.1 23 001 004 008 009 012 013 016 018 020 023 029 031 033 035 044 051 059 068 069 072 073 074 075
2.2 29 001 003 005a 005b 006 007 010 011 012 013 014 015 016 018 019 020 021 023 025a 027 029 030 031 033 034 036 038a 038b 040a
2.3 26 001 005 013 014 019 021 025a 025c 029 039 041 049a 052 054 056 058 059a 063 064 065 067 070 073 074 076 080
2.4 24 001 005 009 011 013 017 018 019 022 023 027 029 030 034 035 038 039 040 048 050 051 052 053 055
2.5 19 001 004 007 011 013 017 019 030 033 036 039 043 047 049 051d 052b 059 062 071
2.6 27 001a 005 012 016 017 020 025 030 035 040 041 042 044 048 049 051 054 055 058 060 063 067 074 077 078 083 084
2.7 22 001 003 005 009 013 017 019 021 023 025 026 027 029 031 033 040 041 044 045 047 048 050
Chapter 3: Functions and Graphs
3.1 19 005 006 009 010 011 012 013 014 017 018 019 020 024 025 027 028 029 030 031
3.2 31 001 004 007 008 009 010 014 016 017 019 021 025 028 031 034 035 041 044 045 047 048 050 059 060 061 065 072 073 078 085 087a
3.3 25 001 011 013 015 020 023 027 028 031 033 035 037 045 046 047 049 050 051 054 058 060 062 063 067 071
3.4 37 001 004 005 008 009 010 011 013 014 020 021 024 026 028 029 030 039 040 042 045 046 049 050 051 052 053 061 065 067 068 072 073 074a 076a 076b 077 078
3.5 32 003 007 013 022 025 027 029 034 041a 042 042i 043 044 045 046 047 051 053a 058 060 062 063a 063d 063e 063h 064a 064c 064g 065 067 068 069
3.6 31 001 006 009 011 012 014 017 018 019 020 022 024 026 029 032 033 034 035 036 040 041 042 043 046 047 050 051 052 053 055a 055b
3.7 24 001 002 005 007 009 016 019 021 023 025 026 028 032 033 035 038 043 046 047 049 052 056 060 062
Chapter 4: Polynomial and Rational Functions
4.1 28 001 002 003 013 014 015 017 018 020 021 022 023 025 026 027 032 033 035 036 037 038 041 042 043 044 045 046 047
4.2 20 001 004 005 009 011 013 015 017 019 021 027 029 033 035 037 039 040 045 049 050
4.3 18 002 004 005 007 010 012 013 016 017 019 021 025 027 029 031 033 045 051
4.4 20 001 003 005 007 009 011 013 015 017 019 021 025 027 029 035 036 037 038 041 043
4.5 25 001 002 007 009 010 016 020 026 030 031 032 033 035 040 041 042 044 045 046 047 048 049 051 053 054
4.6 22 001 003 004 006 007 010 011 012 013 014 016 017 020 021 022 024 025 027 029 030 031 033
Chapter 5: Inverse, Exponential, and Logarithmic Functions
5.1 30 005 009 015 017 019 021 022 023 024 025 026 028 029 031 033 034 035 037 043 045a 045b 045c 047 048 053 055 057 059a 059b 059c
5.2 33 001 010 011 011f 012 012c 012d 012j 013 016 018 019 020 029 031 032 034 035 037 040 041 042 043 046 048 051 053 055 059 064 065 067 073
5.3 27 002 003a 003b 005 006 007 009 011 012 015 016 017 018 019 021 022 023 024 025 026 027 030 033 037 042 048 054
5.4 36 001 004 005 011 013 016 018 019 025 026 028 030 032 034 035 036 036a 036c 036f 036j 036k 040 045 048 050 051 055 059 064 066 067 071 074 076 077 083
5.5 27 001 003 004 007 008 009 014 016 017 019 022 025 026 027 031 034 035 039 043 045 051 053 054 056 057 058 059
5.6 28 002 003 005 006 010 011 012 015 016 019 020 021 025 037 039 041 043 044 045 050 051 052 055 056 058 059a 059b 063
Chapter 6: The Trigonometric Functions
6.1 31 001 005 007 009 013 014 016 018 019 021 023 024 025 027 028 029 030 032 033 034 036 038 042 046 047a 047b 047c 047d 048 050 054
6.2 30 003 006 009 012 017 018 020 023 024 025 026 027 028 031 036 041 048 071 072 076 078 080 082 083 085 086 090 092 095 098
6.3 25 001 005 009 013 019 021 027 030 031 032 035 039 041 042 046 047 050 051 055 069 071 073 074 079 082
6.4 30 001 004 006 007 010 012 014 017 018 022 024 025 029 030 033 034 035 036 037 038a 038b 038c 038d 038e 038f 039 041 042 043 044
6.5 39 001a 001b 001c 001d 001e 001f 001g 001h 003a 003b 003c 003d 003e 003f 003g 003h 006 007 008 012 016 023 026 027 032 035 036 041 042 043 044 046 048 053 054 055 058 067 068
6.6 21 001 002 003 009 010 011 012 015 016 017 018 031 049 051 053 055 056 057 061 065 081
6.7 26 001 005 008 009 011 013 026 027 029 031 032 033 034 036 037 038 043 044 046 047 050 051 063 065 067 072
Chapter 7: Analytic Trigonometry
7.1 20 002 003 008 012 017 021 027 033 035 040 042 043 047 051 057 058 065 069 073 077
7.2 24 001 003 009 010 016 023 029 035 036 037 038 039 042 045 048 049 055 060 061 062 063 072 073 084
7.3 22 001 003 005 007 011 015 020 022 026 030 034 035 037 039 041 057 059 062 063 065 066 070
7.4 19 001 003 005 008 009 010 013 023 031 035 037 039 046 047 048 050 052 053 055
7.5 20 001 002 003 005 007 009 011 013 014 015 017 018 023 024 027 029 034 035 036 043
7.6 21 001 003 007a 007b 007c 008 009 011 013 017 019 032 043 047 059 061 065 066 067 069 071
Chapter 8: Applications of Trigonometry
8.1 20 001 007 015 017 018 019a 019b 020 021 022 023 024 027 028a 028b 029a 029b 030a 030b 030c
8.2 21 001 003 007 008 015 017 018 020 021 022 024 026 027 028 031 032 033 035 039 042 043
8.3 20 001 003 005 007 009 017 029 033 037 043 045 048 052 054 057 061 063 068 072 073
8.4 20 001 003 005 006 008 009 017 019 021 022 024 025 027 029 032 033 041 047 049 051
8.5 20 001 005 007 011 015 017 024 025 033 035 040 042 047 051 056 057 061 062 069 076
8.6 20 001 002 003 004 005 007 009 011 012 013 014 016 017 018 019 020 023 025 027 028
Chapter 9: Systems of Equations and Inequalities
9.1 24 001 002 003 005 007 011 014 019 020 021 025 026 027 029 032a 032b 032c 036 039 040 041 044 057 060
9.2 25 001 003 005 007 010 011 013 015 017 018 021 022 024 025 027 028 029 031 032 033 034 035 036 039 040
9.3 20 001 003 005 008 009 011 013 015 021 024 025 027 029 032 034 035 036 037 039 041
9.4 18 001 004 005 006 009 010 011 012 013 014 015 016 017 018 019 021 023 024
9.5 21 001 003 005 008 009 011 017 018 019 021 023 024 026 027 028 030 031 034 037 039 040
9.6 20 001 002 003 004 010 011 013 015 017 018 019 021 022 023 024 029 031 035 038 040b
9.7 20 001 003 004 005 006 007 008 009 010 011 012 017a 017b 018a 018b 019a 019b 020a 020b 029
9.8 20 001 003 005 007 009 011 015 017 020 023 025 027 031 033 035 036 039 043 044 045
9.9 18 003 006 007 009 011 013 015 016 017 018 019 021 023 024 033 035 039 041
9.10 20 001 003 004 005 007 009 010 011 012 015 016 017 019 021 022 023 025 026 027 028
Chapter 10: Sequences, Series, and Probability
10.1 20 001 004 015 019 020 021 024 025 027 029 032 033 035 036 045 051 053 054 055 075
10.2 20 003 004 006 012 013 016 019 022 023 025 029 037 041 045 047 048 049 050 051 054
10.3 20 001 003 007 012 015 017 021 027 033 037 039 042 044 047 049 052 055 057 065 069
10.4 17 002 004 006 007 009 013 019 021 022 025 027 028 029 033 035 037 038
10.5 20 003 005 008 009 015 016 017 020 023 025 028 031 033 035 039 043 045 047 048 049
10.6 19 001 003 005 007 009 013 015 017 019 020 022 025 027 029 030 033 035 037 042
10.7 20 001 003 005 007 008 009 011 013 015 016 017 019 021 025a 025b 027 029 033 035 037
10.8 20 001 004 005 008 012 017 019 020 024 026 027 029 031 035 042 044 047 052 056 065
Chapter 11: Topics from Analytic Geometry
11.1 20 001 005 008 013 019 021 024 025 028 031 033 035 037 039 041 043 046 047 049b 051
11.2 21 001 002 006 009 010 014 015 017 019 021 027 029 031 033 041 042 043 047 048 049 051
11.3 20 001 003 005 011 012 014 017 019 021 025 029 031 033 037 045 047 051 053 059 062
11.4 21 001 005 008 013 017 020 023 027 029 030 031 033 035 040 041 043 049 050 051 057 058
11.5 20 003 009 010 011 013 015 019 021 025 033 039 045 047 049 057 065 073 077 081 083
11.6 20 001 003 004 005 008 009 012 013 019 023 025 026 029 030 033 034 035 036 039 040
Total 1707