1,044 prompts matching "Structured question: logarithmic equation reducing to a quadratic"
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Create a revision plan for vectors
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Summarise polynomials and the remainder/factor theorems for quick revision
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Summarise vectors for quick revision
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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: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Worked example: find the magnitude of the vector (3,4)
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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Worked example: find the unit vector in the direction of (6,8)
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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: expand (1-x)^4 fully and use it to estimate (0.98)^4
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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 p IMPLIES q is logically equivalent to (NOT p) OR q
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Real-life application of probability using combinatorics
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Real-life application of vectors
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Real-life application of the factor theorem
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Real-life application of the condition for a line to be tangent to a curve
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