1,043 prompts matching "Multiplying two complex numbers in polar form"
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Teach me the dot product of two vectors
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Summarise polynomials and the remainder/factor theorems for quick revision
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Summarise permutations and combinations for quick revision
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Summarise the binomial theorem for quick revision
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Summarise coordinate geometry for quick revision
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Summarise logarithms and indices for quick revision
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Give me memory tricks for Further Maths formulas
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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
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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: 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 equation of the line through (2,3) and (5,9)
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Worked example: find the distance between the points (1,2) and (4,6)
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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)
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Worked example: find the equation of a circle with centre (2,-1) and radius 4
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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0
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Worked example: find the magnitude of the vector (3,4)
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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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