755 prompts matching "Structured question: stationary point on a curve with an unknown constant"
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Common Mistakes: Distributivity on a set of three elements
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Practice: Why an identity element must work from both sides
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Explain Back: What an inverse element is
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Practice: The law for a power raised to another power
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Common Mistakes: Why the index laws need the bases to match
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Worked Example: Rewriting a negative index as a fraction
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Common Mistakes: Writing a root as a fractional index before simplifying
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Worked Example: Writing an index statement as a logarithm
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Show All Working: The common logarithm, to base ten
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Common Mistakes: Reading a logarithm from a table
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Practice: Combining two logarithms into one
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Show All Working: Solving a simple logarithmic equation
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Common Mistakes: Rejecting a root that makes a logarithm undefined
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Common Mistakes: A logarithmic equation that becomes a quadratic
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Practice: Finding the twentieth term of a given arithmetic progression
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Show All Working: Deciding whether a number belongs to a given arithmetic progression
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Show All Working: The sum of the terms lying between two given positions
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Common Mistakes: Proving the sum formula by pairing the terms
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Worked Example: Finding the common ratio of a geometric progression
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Practice: Finding the eighth term of a given geometric progression
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