1,045 prompts matching "Why the probabilities in a distribution must sum to one"
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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 determinant of [[5,2],[3,4]]
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Worked example: find the inverse of [[2,1],[5,3]]
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Worked example: expand (x+2)^5 fully using the binomial theorem
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Worked example: find the term in x^3 in the expansion of (2x-1)^6
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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7
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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: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
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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 the factor theorem
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Real-life application of testing the validity of an argument
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Give me a 5-minute recap of completing the square
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Give me a 5-minute recap of the quadratic formula
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the quadratic formula
Give me a 5-minute recap of the remainder theorem
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the remainder theorem
Give me a 5-minute recap of tautologies
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Give me a 5-minute recap of the binomial theorem
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Give me a 5-minute recap of vectors
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of vectors, covering onl