1,045 prompts matching "Assuming the normal curve meets the horizontal axis at its points of inflexion"
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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: 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: differentiate y = 3x^4 - 2x^3 + x - 7
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Worked example: differentiate y = (2x-1)(x+3) after expanding it first
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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 centre and radius of the circle x^2+y^2-4x+6y-3=0
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Worked example: find the modulus and argument of 3+4i
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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: find the magnitude of the vector (3,4)
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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 the unit vector in the direction of (6,8)
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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
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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: 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: expand (1-x)^4 fully and use it to estimate (0.98)^4
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