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Understanding Arithmetic Progressions (AP) and Solving AP Problems
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October 11, 2023
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Finding the maximum and minimum values of functions
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October 1, 2023
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Find the set of all real values of the parameter \(m\) for which the function \(y = – {x^3} – 6{x^2} + \left( {4m – 9} \right)x + 4\) is strictly decreasing over the interval \(( – \infty, -1)\).
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September 19, 2023
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How many integer values of \(m\) make the function \(y = \left( {{m^2} – 1} \right){x^3} + \left( {m – 1} \right){x^2} – x + 4\) strictly increasing over \(\mathbb{R}\)?
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September 19, 2023
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Exploring Extremum Problems in Calculus: Finding Optima in Functions
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September 18, 2023
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Methods for finding extrema of functions
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September 18, 2023
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Application Exercises of Sum and Difference Formulas
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September 18, 2023
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Understanding Monotonicity of Functions: Methods and Examples
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September 17, 2023
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Basic trigonometric relationships between the trigonometric values of angles in trigonometry
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September 17, 2023
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Definition of trigonometric angle, trigonometric circle
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September 17, 2023
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Understanding Arithmetic Progressions (AP) and Solving AP Problems
Finding the maximum and minimum values of functions
Find the set of all real values of the parameter \(m\) for which the function \(y = – {x^3} – 6{x^2} + \left( {4m – 9} \right)x + 4\) is strictly decreasing over the interval \(( – \infty, -1)\).
How many integer values of \(m\) make the function \(y = \left( {{m^2} – 1} \right){x^3} + \left( {m – 1} \right){x^2} – x + 4\) strictly increasing over \(\mathbb{R}\)?
Exploring Extremum Problems in Calculus: Finding Optima in Functions
