1,320 prompts matching "The point of contact when a line touches a curve"
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Worked Example: Finding one over alpha plus one over beta
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Quiz: Finding alpha cubed plus beta cubed
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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared
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Worked Example: Evaluating a polynomial by substitution
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Common Mistakes: Three roots in geometric progression in a cubic
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Quiz: Solving a quadratic inequality using a sign table
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Spot My Mistake: Arrangements in which two particular objects must be kept apart
Act as my SS3 Further Mathematics tutor. Work a question on arrangements in which two part
Final Revision: Proving an identity by working on one side only
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Worked Example: Solving cos x equals a negative value, and finding both solutions
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Spot My Mistake: Solving an equation by first applying a Pythagorean identity
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Final Revision: Losing solutions by dividing through by cos x
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Common Mistakes: Identifying a conic from a general second-degree equation
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Spot My Mistake: An aeroplane in a cross-wind, and its resultant track
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Final Revision: Showing that a given motion is simple harmonic
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Spot My Mistake: A particle hanging in equilibrium on an elastic string
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Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative
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Spot my mistake: Treating any vector with small components as a unit vector
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Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all
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Factorising an expression with a common algebraic bracket factor
I am in SS 3. Teach me factorising an expression where the common factor is itself a brack