В.Корчевскиий, З.Жұмағұлова. Есептер жинағы. Алгебра және анализ бастамалары 11-сынып. 2015
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В.Корчевскиий
З.Жұмағұлова.
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В.Корчевскиий, З.Жұмағұлова. Есептер жинағы. Алгебра және анализ бастамалары 11-сынып. 2015
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Foreword
Other
Page 4
Exercises for reviewing the Grade 10 algebra and elements of analysis course
Problem
Page 5
Chapter I. Antiderivative and integral
Theory
Page 9
Antiderivative and indefinite integral
Theory
Page 9
Area of a curvilinear trapezoid
Theory
Page 12
Definite integral. Newton–Leibniz formula
Theory
Page 13
Calculating areas of plane figures using an integral
Theory
Page 15
Chapter II. Power and root. Power function
Theory
Page 19
nth root and its properties
Theory
Page 19
Power with a rational exponent
Theory
Page 21
Transforming irrational expressions
Theory
Page 24
Irrational equation
Theory
Page 26
Solving irrational inequalities
Theory
Page 27
Power function, its properties and graph
Theory
Page 29
Differentiating and integrating the power function
Theory
Page 31
Chapter III. Exponential and logarithmic functions
Theory
Page 33
Exponential function, its properties and graph
Theory
Page 33
Logarithm and its properties
Theory
Page 34
Logarithmic function, its properties and graph
Theory
Page 35
Differentiating exponential and logarithmic functions
Theory
Page 36
Chapter IV. Exponential and logarithmic equations and inequalities
Theory
Page 39
Exponential equations and their systems
Theory
Page 39
Solving exponential inequalities
Theory
Page 41
Logarithmic equations and their systems
Theory
Page 42
Solving logarithmic inequalities
Theory
Page 43
Chapter V. Equations and inequalities, systems of equations and inequalities
Theory
Page 45
General methods for solving equations and their systems
Theory
Page 45
General methods for solving inequalities and their systems
Theory
Page 46
Solving equations and inequalities where the variable is under the absolute value sign
Theory
Page 48
Equations and inequalities with a parameter
Theory
Page 49
Chapter VI. Probability
Theory
Page 51
Addition and multiplication of probabilities
Theory
Page 51
Random variable. Elements of selection methods
Theory
Page 53
Answers
Answer
Page 55
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