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Problem book in high school

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Entries: 84
A.I.Prilepko
core math
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Problem book in high school
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84
1. Rational Equations, Inequalities and Functions in One Variable
Problem
Page 11
Answer: 1. Rational Equations, Inequalities and Functions in One Variable
Answer
Page 139
1.1. Linear Equations and Inequalities in One Variable. A Linear Function
Problem
Page 11
Answer: 1.1. Linear Equations and Inequalities in One Variable. A Linear Function
Answer
Page 139
1.2. Quadratic Equations and Inequalities. A Quadratic Function
Problem
Page 14
Answer: 1.2. Quadratic Equations and Inequalities. A Quadratic Function
Answer
Page 144
1.3. Inverse Proportionality
Problem
Page 19
Answer: 1.3. Inverse Proportionality
Answer
Page 150
1.4. Equations and Inequalities of Higher Degrees. A Rational Function
Problem
Page 22
Answer: 1.4. Equations and Inequalities of Higher Degrees. A Rational Function
Answer
Page 158
1.5. Linear Systems of Equations and Inequalities
Problem
Page 27
Answer: 1.5. Linear Systems of Equations and Inequalities
Answer
Page 168
1.6. Systems of Equations and Inequalities in Several Higher-Degree Variables
Problem
Page 30
Answer: 1.6. Systems of Equations and Inequalities in Several Higher-Degree Variables
Answer
Page 171
2. Transcendental Functions, Equations and Inequalities
Problem
Page 33
Answer: 2. Transcendental Functions, Equations and Inequalities
Answer
Page 175
2.1. Irrational Equations and Inequalities
Problem
Page 33
Answer: 2.1. Irrational Equations and Inequalities
Answer
Page 175
2.2. Systems of Irrational Equations and Inequalities
Problem
Page 38
Answer: 2.2. Systems of Irrational Equations and Inequalities
Answer
Page 180
2.3. Exponential and Logarithmic Functions, Equations, Systems of Equations and Inequalities
Problem
Page 39
Answer: 2.3. Exponential and Logarithmic Functions, Equations, Systems of Equations and Inequalities
Answer
Page 181
2.4. Transformation of Trigonometric Expressions
Problem
Page 51
Answer: 2.4. Transformation of Trigonometric Expressions
Answer
Page 191
2.5. Trigonometric Functions
Problem
Page 54
Answer: 2.5. Trigonometric Functions
Answer
Page 193
2.6. Inverse Trigonometric Functions
Problem
Page 57
Answer: 2.6. Inverse Trigonometric Functions
Answer
Page 200
2.7. Trigonometric Equations and Systems of Equations
Problem
Page 61
Answer: 2.7. Trigonometric Equations and Systems of Equations
Answer
Page 205
2.8. Trigonometric Inequalities
Problem
Page 70
Answer: 2.8. Trigonometric Inequalities
Answer
Page 219
3. Problems on Deriving Equations and Inequalities
Problem
Page 72
Answer: 3. Problems on Deriving Equations and Inequalities
Answer
Page 221
3.1. Problems on Motion
Problem
Page 72
Answer: 3.1. Problems on Motion
Answer
Page 221
3.2. Problems on Percentages, Mixtures, Numbers and Work
Problem
Page 78
Answer: 3.2. Problems on Percentages, Mixtures, Numbers and Work
Answer
Page 222
3.3. Problems on Deriving Inequalities and Systems of Inequalities. Problems on the Extremum
Problem
Page 83
Answer: 3.3. Problems on Deriving Inequalities and Systems of Inequalities. Problems on the Extremum
Answer
Page 223
4. The Antiderivative and the Integral
Problem
Page 86
Answer: 4. The Antiderivative and the Integral
Answer
Page 225
4.1. The Antiderivative. The Newton-Leibniz Formula
Problem
Page 86
Answer: 4.1. The Antiderivative. The Newton-Leibniz Formula
Answer
Page 225
4.2. Calculating the Areas of Plane Figures
Problem
Page 89
Answer: 4.2. Calculating the Areas of Plane Figures
Answer
Page 227
5. Progressions and Number Sequences
Problem
Page 92
Answer: 5. Progressions and Number Sequences
Answer
Page 230
5.1. Progressions
Problem
Page 92
Answer: 5.1. Progressions
Answer
Page 230
5.2. Number Sequences
Problem
Page 98
Answer: 5.2. Number Sequences
Answer
Page 233
6. Elements of Vector Algebra
Problem
Page 101
Answer: 6. Elements of Vector Algebra
Answer
Page 236
6.1. Linear Operations on Vectors
Problem
Page 101
Answer: 6.1. Linear Operations on Vectors
Answer
Page 236
6.2. The Scalar Product of Vectors
Problem
Page 103
Answer: 6.2. The Scalar Product of Vectors
Answer
Page 237
7. Plane Geometry
Problem
Page 107
Answer: 7. Plane Geometry
Answer
Page 241
7.1. Problems on Proving Propositions
Problem
Page 107
Answer: 7.1. Problems on Proving Propositions
Answer
Page 241
7.2. Construction Problems
Problem
Page 109
Answer: 7.2. Construction Problems
Answer
Page 245
7.3. Problems on Calculation
Problem
Page 110
Answer: 7.3. Problems on Calculation
Answer
Page 247
8. Solid Geometry
Problem
Page 115
Answer: 8. Solid Geometry
Answer
Page 252
8.1. A Straight Line, a Plane. Polyhedra. Solids of Revolution
Problem
Page 115
Answer: 8.1. A Straight Line, a Plane. Polyhedra. Solids of Revolution
Answer
Page 252
8.2. Problems on Combinations of Polyhedra and Solids of Revolution
Problem
Page 120
Answer: 8.2. Problems on Combinations of Polyhedra and Solids of Revolution
Answer
Page 257
8.3. Volumes of Solids of Revolution
Problem
Page 127
Answer: 8.3. Volumes of Solids of Revolution
Answer
Page 264
9. Miscellaneous Problems
Problem
Page 128
Answer: 9. Miscellaneous Problems
Answer
Page 265
9.1. Problems in Algebra
Problem
Page 128
Answer: 9.1. Problems in Algebra
Answer
Page 265
9.2. Limit of a Function. Continuity
Problem
Page 131
Answer: 9.2. Limit of a Function. Continuity
Answer
Page 270
9.3. The Derivative of a Function
Problem
Page 132
Answer: 9.3. The Derivative of a Function
Answer
Page 273
9.4. Integral Calculus. Miscellaneous Problems
Problem
Page 134
Answer: 9.4. Integral Calculus. Miscellaneous Problems
Answer
Page 275
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