1,246 prompts matching "Set theory laws: commutative and associative"
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Quiz: The product of the roots of a cubic
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Practice: Finding the third root of a cubic when two are known
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Final Revision: Checking that the roots found satisfy the original equation
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Quiz: Solving a quadratic inequality using a sign table
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Practice: Solving an inequality with the unknown in the denominator
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Spot My Mistake: Showing the solution of an inequality on a number line
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Worked Example: The number of arrangements of n different objects in a row
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Quiz: The number of arrangements of r objects chosen from n
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Practice: Arrangements when some of the objects are identical
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Spot My Mistake: Arrangements in which two particular objects must be kept apart
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Final Revision: Counting the number plates or codes that can be formed under a rule
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Quiz: Choosing a committee of r people from n
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Practice: Choosing a committee that must contain one particular person
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Spot My Mistake: The identity that n choose r equals n choose n minus r
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Learn: The Pythagorean identity, sin squared plus cos squared equals one
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Quiz: The compound angle formula for sine of A plus B
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Practice: The compound angle formula for cosine of A minus B
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Spot My Mistake: The double angle formula for sine
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