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Senior Secondary

Further Mathematics

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1,045 prompts matching "The units of mass, and the SI unit"

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Simplify the surd expression sqrt(50) - sqrt(8)

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Simplify the surd expression (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^2

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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

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Worked example: find the magnitude of the vector (3,4)

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Worked example: how many ways can a president and secretary be chosen from 8 people

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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Worked example: construct the truth table for (p AND q) OR (NOT p)

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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Real-life application of completing the square

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Real-life application of the quadratic formula

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Real-life application of the remainder theorem

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Real-life application of propositional logic

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Real-life application of probability using combinatorics

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Real-life application of the binomial theorem

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Real-life application of sequences and series

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