1,043 prompts matching "A logarithm to base e, the natural logarithm"
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Spot My Mistake: The value of alpha over beta plus beta over alpha
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Common Mistakes: A symmetric function needing the sum and product twice over
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Final Revision: Using a symmetric function to find an unknown coefficient
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Learn: Making one unknown the subject of the linear equation
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Quiz: Solving the quadratic that results from the substitution
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Practice: Finding the matching value of the second unknown
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Explain Back: Writing the answers as ordered pairs
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Learn: Forming the quadratic that decides where a line meets a curve
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Worked Example: The discriminant used as the test for intersection
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Quiz: The condition for two points of intersection
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Spot My Mistake: Finding the values of c for which a line is a tangent
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Worked Example: The degree of a polynomial in one variable
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Quiz: The leading term and the constant term
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Common Mistakes: Multiplying one polynomial by another
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Final Revision: The degree of the product of two polynomials
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Learn: Setting out the division of a cubic by a linear expression
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Worked Example: The division algorithm for polynomials
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Common Mistakes: The degree of the quotient and of the remainder
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Final Revision: Writing the result of a polynomial division out in full
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