1,045 prompts matching "The greatest and least values of a function in a closed interval"
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Give me common mistakes students make in permutations and combinations
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Give me common mistakes students make in trigonometric identities and equations
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Give me common mistakes students make in sequences and series
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Give me common mistakes students make in logarithms and indices
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Give me common mistakes students make in measures of dispersion
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Explain why Further Maths topics connect to each other
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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: solve x^2+4x+13=0 giving the roots as complex numbers
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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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Worked example: find a+b where a=(2,-1) and b=(-3,5)
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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
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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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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Real-life application of the quadratic formula
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Real-life application of combinations
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