1,324 prompts matching "determine whether the argument 'if p then q; p; therefore q' is valid using a tr"
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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Spot My Mistake: The relations between roots and coefficients for a quartic
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Final Revision: Checking that the roots found satisfy the original equation
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Spot My Mistake: Showing the solution of an inequality on a number line
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Common Mistakes: The range of values of x for which an expression stays positive
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Final Revision: The region of the plane satisfying a set of linear inequalities
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Worked Example: The number of arrangements of n different objects in a row
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Common Mistakes: Arrangements restricted at the first or the last place
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Worked Example: The difference between a permutation and a combination
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Spot My Mistake: The identity that n choose r equals n choose n minus r
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Spot My Mistake: The double angle formula for sine
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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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Common Mistakes: Giving the general solution of a trigonometric equation
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Spot My Mistake: The effect of c in y equals sin x plus c
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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet
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Spot My Mistake: The general form ax plus by plus c equals nought
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Common Mistakes: The angle between two lines found from their gradients
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Final Revision: The perpendicular distance from a point to a line
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Explain Back: Deciding whether a point lies inside, on or outside a circle
I have just studied deciding whether a point lies inside, on or outside a circle in my SS3