981 prompts matching "Why not every function has an inverse function"
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Find sum and product of roots of 2x^2 - 5x + 3 = 0
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Find sum and product of roots of x^2 + 4x - 12 = 0
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Find sum and product of roots of 3x^2 + 7x - 6 = 0
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Find sum and product of roots of x^2 - 8x + 15 = 0
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Teach me conditions for a line and a curve to intersect
Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line
Explain the difference between remainder and factor theorem
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Quiz me on the why p implies q is true when p is false
Act as my SS2 Further Mathematics tutor and quiz me on why p implies q is true when p is f
Worked example: expanding (x+y)^4 using Pascal's triangle
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Worked example: solving an equation with logarithms to the same base
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Worked example: solving simultaneous equations using matrices
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Spot my mistake finding a matrix inverse
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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
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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 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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