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Senior Secondary

Further Mathematics

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1,045 prompts matching "The forces on a body resting on a rough horizontal plane"

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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 2cos(x) = 1, for 0 <= x <= 360

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

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Solve the trigonometric equation tan(x) = -1, 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 equation of a circle with centre (2,-1) and radius 4

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Worked example: find the unit vector in the direction of (6,8)

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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: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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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 the binomial theorem

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Real-life application of the factor theorem

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Real-life application of testing the validity of an argument

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Real-life application of the condition for a line to be tangent to a curve

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