1,045 prompts matching "The rate at which the height of a liquid rises in a cone"
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Worked Example: Halving the coefficient of x and squaring it
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Learn: Deriving the quadratic formula by completing the square
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Spot My Mistake: What the formula gives when the discriminant is nought
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Common Mistakes: A sign error in the formula, and how to catch it
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Final Revision: A word problem solved with the quadratic formula
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Learn: The sum of the roots as minus b over a
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Worked Example: The product of the roots as c over a
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Explain Back: Finding a missing coefficient from a stated sum of roots
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Final Revision: One root twice the other, and what that gives
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Learn: What makes an expression in the roots symmetric
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Quiz: The value of one over alpha squared plus one over beta squared
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Practice: The value of alpha to the fourth plus beta to the fourth
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Explain Back: The value of alpha minus beta, all squared
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Learn: Forming the quadratic that decides where a line meets a curve
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Quiz: The condition for two points of intersection
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Worked Example: The degree of a polynomial in one variable
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Practice: Polynomial notation such as P of x
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Explain Back: Evaluating P of 2 for a given polynomial
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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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