1,141 prompts matching "IGCSE Additional Maths Y10: A cubic with a repeated factor — IGCSE Exam Practice"
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Worked Example: Testing two vectors for perpendicularity
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Practice: Deciding whether a point lies on a given line
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Explain Back: The resultant of forces given as vectors
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Worked Example: The powers of i, and the cycle they follow
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Practice: Equating real and imaginary parts to find two unknowns
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Worked Example: Squaring a complex number
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Practice: The sum of a complex number and its conjugate
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Practice: The argument of a complex number in the second or third quadrant
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Practice: The addition of complex numbers shown on an Argand diagram
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Explain Back: The locus of a complex number at a fixed distance from a point
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Practice: Converting a complex number from polar form back to a plus bi
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Explain Back: Raising a complex number to a power by de Moivre's theorem
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Practice: Why complex roots of a real quadratic come in conjugate pairs
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Practice: Differentiating x squared from first principles
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Explain Back: Differentiating one over x from first principles
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Practice: Differentiating sin x and cos x
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Explain Back: Differentiating tan x
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Worked Example: The quotient rule for differentiation
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Worked Example: Differentiating a bracket raised to a power
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Worked Example: Classifying a stationary point by the sign of the gradient either side
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