1,045 prompts matching "The hyperbola in standard form, and its asymptotes"
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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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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: differentiate y = (2x-1)(x+3) after expanding it first
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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
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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 completing the square
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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 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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