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Senior Secondary

Further Mathematics

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1,332 prompts matching "Practice: The condition for the line to be a tangent"

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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix

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Worked Example: The identity that A times its adjoint gives the determinant times the identity

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Learn: Swapping and negating the entries when inverting a 2 by 2 matrix

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Learn: The order of the steps in inverting a 3 by 3 matrix

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Quiz: Solving three simultaneous equations with the inverse matrix

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Worked Example: Checking the solution of three equations by substitution

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Worked Example: The units of mass, and the SI unit

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Quiz: Why mass stays the same wherever the body is taken

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Worked Example: The weight of a body as mass times g

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Spot My Mistake: Compounding three forces acting at one point

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Worked Example: Marking the weight, the normal reaction and the friction on a diagram

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Learn: A space diagram and a force diagram drawn side by side

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Learn: What an unclosed polygon of forces tells you

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Spot My Mistake: Why friction does not depend on the area of contact

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Learn: The algebraic sum of moments when the senses differ

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Spot My Mistake: Finding two unknown tensions from three forces in equilibrium

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Learn: The expectation of a discrete random variable

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Learn: Finding the coefficient of a stated power in an expansion

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Spot My Mistake: The probability of exactly r successes in n trials

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Quiz: The situations a Poisson distribution models

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