442 prompts matching "Showing distributivity fails by a counter-example"
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Worked example: solving an equation with logarithms to the same base
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Worked example: solving a quadratic trigonometric equation
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Worked example: finding a term in an arithmetic progression
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Worked example: sum to infinity of a geometric series
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Worked example: finding the gradient of a curve at a point
Act as my SS2 Further Maths tutor. Show me a full worked example of differentiating a poly
Worked example: finding and classifying a stationary point
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Worked example: solving a quadratic with complex roots
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Worked example: plotting a complex number on an Argand diagram
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Spot my mistake multiplying a two by two matrix by a two by one matrix
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Worked example: finding the angle between two vectors
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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: differentiate y = 3x^4 - 2x^3 + x - 7
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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2
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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
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Worked example: differentiate y = (2x-1)(x+3) after expanding it first
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