1,334 prompts matching "Rejecting a negative answer in an indicial equation"
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Worked Example: Evaluating a polynomial by substitution
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Practice: Factorising a cubic completely once one factor is known
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Practice: Finding the third root of a cubic when two are known
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Common Mistakes: Three roots in geometric progression in a cubic
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Common Mistakes: The range of values of x for which an expression stays positive
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Practice: Arrangements when some of the objects are identical
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Common Mistakes: Arrangements restricted at the first or the last place
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Practice: Choosing a committee that must contain one particular person
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Common Mistakes: Selections in which at least one of a kind must appear
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Worked Example: The identities for one plus tan squared and one plus cot squared
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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha
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Final Revision: Losing solutions by dividing through by cos x
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Practice: The effect of a in y equals a sin x
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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet
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Worked Example: The midpoint formula applied to a given segment
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Learn: The parabola y squared equals 4ax, with its focus and directrix
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Worked Example: The parametric form of a point on a parabola
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Final Revision: The focus-directrix definition shared by all the conics
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