1,045 prompts matching "Range of a simple function from its graph or values"
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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: 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 a+b where a=(2,-1) and b=(-3,5)
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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 2a-3b where a=(4,1) and b=(-2,3)
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Worked example: in how many ways can 6 people be seated around a circular table
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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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Cambridge-style structured question: factorise x^2 + 9x + 20
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^
Cambridge-style structured question: factorise x^2 - 11x + 24
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^
Cambridge-style structured question: factorise x^2 + 3x - 28
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^
Cambridge-style structured question: factorise 2x^2 + 9x + 4
Set me a Cambridge Additional Maths structured question that says 'Factorise completely 2x
Cambridge-style structured question: factorise 3x^2 - 11x + 6
Set me a Cambridge Additional Maths structured question that says 'Factorise completely 3x