1,045 prompts matching "Give me a mixed revision pack blending logic and combinatorics"
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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1
Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)
Solve the logarithmic equation log5(x+3) + log5(2) = 2
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Worked example: simplify (3+2i) + (1-5i)
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Worked example: simplify (2+i)(3-4i)
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Worked example: simplify (4+3i)/(1-2i)
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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 the magnitude of the vector (3,4)
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Worked example: find the unit vector in the direction of (6,8)
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Worked example: how many ways can 5 books be arranged on a shelf
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Worked example: how many ways can a committee of 4 be chosen from 10 people
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Worked example: in how many ways can 6 people be seated around a circular table
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Real-life application of quadratic equations
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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 polynomials
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Real-life application of the remainder theorem
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Real-life application of cubic equations
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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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