1,045 prompts matching "Practice: The sum to infinity of a convergent geometric series"
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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: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference
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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio
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Worked example: find the distance between the points (1,2) and (4,6)
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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
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Worked example: construct the truth table for (p AND q) OR (NOT p)
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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 quadratic equations
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Real-life application of polynomials
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Real-life application of cubic equations
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Real-life application of propositional logic
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Real-life application of truth tables
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Real-life application of permutations
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Real-life application of combinations
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