1,042 prompts matching "Structured question: stationary point on a curve with an unknown constant"
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Worked Example: The discriminant used as the test for intersection
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Practice: The condition for the line to be a tangent
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Explain Back: The condition for the line never to meet the curve
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Common Mistakes: Multiplying one polynomial by another
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Explain Back: A division that leaves a constant remainder
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Common Mistakes: The degree of the quotient and of the remainder
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Common Mistakes: Factorising fully, and knowing when to stop
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Worked Example: How many roots a cubic equation has
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Common Mistakes: Translating a symbolic statement back into English
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Explain Back: The truth table for a statement with two connectives
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Show All Working: Why a conditional and its converse are not equivalent
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Common Mistakes: Writing the converse, inverse and contrapositive of one statement
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Common Mistakes: Deciding between tautology, contradiction and contingency
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Worked Example: Premises and conclusion
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Common Mistakes: The fallacy of denying the antecedent
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Common Mistakes: Arranging objects when some must stay in a fixed order
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Common Mistakes: A probability found by counting arrangements
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Worked Example: Reading the coefficients of an expansion off Pascal's triangle
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Common Mistakes: The link between Pascal's triangle and combinations
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Worked Example: Finding the fifth term of an expansion
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